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			<titleStmt><title level='a'>Clean co-combustion of glycerol and methanol blends using a novel fuel-flexible injector</title></titleStmt>
			<publicationStmt>
				<publisher>ELSEVIER</publisher>
				<date>09/01/2024</date>
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				<bibl> 
					<idno type="par_id">10621419</idno>
					<idno type="doi">10.1016/j.fuel.2024.132125</idno>
					<title level='j'>Fuel</title>
<idno>0016-2361</idno>
<biblScope unit="volume">371</biblScope>
<biblScope unit="issue">PB</biblScope>					

					<author>Timothy Hall</author><author>Derek Williams</author><author>S_M Rafiul Islam</author><author>Ishaan Patel</author><author>Caleb Chakmakjian</author><author>Lulin Jiang</author>
				</bibl>
			</sourceDesc>
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		<profileDesc>
			<abstract><ab><![CDATA[This study explores combustion of highly oxygenated fuel blends (glycerol/methanol, G/M) to mitigate carbon footprint using a novel fuel injector, called Swirl Burst (SB) injector. The recently developed SB injector yields fine droplets immediately rather than a breaking jet/film of conventional injectors. The advanced atomization resulted in ultra-clean combustion with high fuel flexibility even for viscous oils without fuel preheating. The present work investigates the effects of fuel composition and the atomizing air to liquid mass ratio (ALR) across the injector on the global combustion characteristics of G/M blends without fuel preheating in an uninsulated lab-scale combustor. Results show that the SB injection resulted in mainly clean lean-premixed and near complete combustion for the G/M mixes of 50/50, 60/40 and 70/30 by power with near-zero emissions of CO and NOx. Increase in ALR resulted in more radially distributed flames with slightly reduced flame lift-off height, with ultra-clean and near complete combustion for all the ALRs for the 50/50 and 70/30 blends. Clean and efficient G/M combustion without fuel preheating achieved by the fuel-flexible SB injection signifies the potential to combust crude glycerolthe largest oxygenated byproduct of biodiesel productionto enable biofuel cost effectiveness with near-zero emissions.]]></ab></abstract>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1.">Introduction</head><p>In recent years, near-zero/net-zero-emission and efficient combustion and biofuel applications are urged by the changing climate due to the aggravating global warming. Biodiesel has become an emerging alternative fuel because of its closed carbon cycle and similar fuel properties to conventional diesel. In the European Union (EU), biodiesel production increased from 6.129 millions of tons to 14.11 millions of tons over the year 2007-2018 <ref type="bibr">[1,</ref><ref type="bibr">2]</ref>. To create this fuel, highly viscous source oils go through the costly trans-esterification process <ref type="bibr">[3]</ref> to form the biodiesel with "drop-in" i.e., similar properties of conventional diesel to be adapted into the existing combustion systems <ref type="bibr">[4]</ref>. These systems utilize conventional fuel injectors with a high sensitivity to even a slight variation in fuel properties <ref type="bibr">[5,</ref><ref type="bibr">6]</ref>. In addition, the transesterification process creates large surplus of crude glycerol as a waste byproduct, though the crude glycerol can be refined in another expensive process to be used in various food and pharmaceutical products <ref type="bibr">[4]</ref>. Cost related to coping with the abundant waste renders the biodiesel production less cost effective, hence limiting its broad application for decarbonization. On the other hand, the waste crude glycerol can become an extremely low-cost potential fuel <ref type="bibr">[7]</ref><ref type="bibr">[8]</ref><ref type="bibr">[9]</ref>. Glycerol has a moderate heating value and a high oxygen (O 2 ) content, and thus, has the potential to be burned as biofuel to mitigate carbon footprint for power generation <ref type="bibr">[4,</ref><ref type="bibr">6,</ref><ref type="bibr">10,</ref><ref type="bibr">11]</ref>. However, the high ignition temperature and high viscosity of glycerol and the low-viscosity tolerance of conventional injectors have made it difficult to burn <ref type="bibr">[4,</ref><ref type="bibr">12,</ref><ref type="bibr">13]</ref>.</p><p>Clean and complete combustion of liquid fuels is not only determined by its chemical composition (such as a closed-carbon cycle of biofuels) but also by the complicated physicochemical process of spray combustion <ref type="bibr">[4]</ref>. Effective atomization results in fine sprays that evaporate fast, leading to homogenous mixing of fuel vapor and air and thus the clean premixed combustion of liquid fuels with near-zero emissions or netzero emissions when fuels are biobased with closed carbon cycle. Unfortunately, conventional airblast (AB) and pressure swirl (PS) injectors, widely used in gas turbines and other industrial burners generate a liquid jet core/film first that gradually disintegrates into ligaments and ultimately droplets even for low-viscosity water <ref type="bibr">[4,</ref><ref type="bibr">[14]</ref><ref type="bibr">[15]</ref><ref type="bibr">[16]</ref>. Moreover, the jet-breaking atomization is highly sensitive to slight fuel property variations. High viscosity further suppresses the atomization capability and elongates the atomization process, resulting in ligaments and large droplets <ref type="bibr">[15]</ref>. These large ligaments/droplets of viscous fuels burn incompletely and/or in diffusion mode, yielding high pollutant emissions such as soot, toxic carbon monoxide (CO), nitrogen oxides (NO X ), and unburned hydrocarbons <ref type="bibr">[4]</ref>. For instance, alternative jet fuel C-3 with only 3x higher viscosity than diesel resulted in the poorest ignition and high pollutant emissions compared to other jet fuels by using conventional AB injector <ref type="bibr">[17]</ref>. As high-viscosity fuels burn incompletely using the conventional injectors, more fuel mass must be burned to achieve the same heat output compared to conventional low-viscosity fuels such as diesel, or more energy will be needed to preheat the fuels to reduce the viscosity <ref type="bibr">[4]</ref>. This effect is further compounded in glycerol combustion because of its relatively low heating value, 15.8 MJ/kg, which is half that of biodiesel <ref type="bibr">[4,</ref><ref type="bibr">7,</ref><ref type="bibr">12,</ref><ref type="bibr">13]</ref>. The high viscosity and relatively low energy density signify that novel fine atomization concept with high-viscosity tolerance and/or blending glycerol with fuels with higher heating values are necessitated to enable glycerol as a potential clean renewable fuel and achieve heat output comparable to conventional fuels via co-combustion of glycerol-based blends <ref type="bibr">[4]</ref>.</p><p>In the last two decades, Ga&#241;&#225;n-Calvo first developed flow-blurring (FB) atomizer which can generate 5-50 times greater surface area than an AB atomizer, via using a novel primary atomization mechanism by bubble bursting that is fundamentally distinct from the typical AB/PS jet/film breaking <ref type="bibr">[18]</ref>. In FB, at a unique simple internal geometry, a small quantity of the atomizing air (AA) that passes through an annular channel around the center liquid channel penetrates into the liquid fuel and rapidly forms bubbles at the inner liquid tube tip <ref type="bibr">[18]</ref>. These bubbles burst due to a large pressure drop while leaving the atomizer exit, defined as the primary atomization, shattering the surrounding liquid into fine spray immediately at the injector exit <ref type="bibr">[19]</ref>, rather than a typical AB/PS jet core/film. The remaining larger portion of AA directly leaves the injector exit and leads to the secondary atomization of liquid by shear layer instabilities developed at the interface of the liquid parts and the high-velocity air <ref type="bibr">[20]</ref>. FB can generate ultra-fine sprays for various liquids <ref type="bibr">[15]</ref> ranging from low-viscosity water, to high-viscosity alternative jet fuel C-3 <ref type="bibr">[21]</ref>, and even extremely viscous pure glycerol <ref type="bibr">[22]</ref> without fuel preheating. Simmons et al. observed that for atomizing air to liquid mass ratio (ALR) of 2.5, with the injector exit diameter (D) of 1.5 mm, FB can generate more uniform final water droplets with the Sauter Mean Diameter (SMD) of 5-15 &#181;m, compared to SMD of 5-25 &#181;m for the AB injector with the injector orifice D of 0.15 mm at &gt;2 cm downstream the exit <ref type="bibr">[15]</ref>. <ref type="bibr">Qavi et al.</ref> found that FB injector, with the injector D of 1.5 mm, generated fine droplets with the size of 90 % &lt; 45-70 &#181;m for the ALRs of 1.00 to 2.5 respectively within 6 mm downstream of the injector exit for the viscous alternative jet fuel C-3 (blends of farnesane and JP-5) <ref type="bibr">[21]</ref>. Even for the high-viscosity glycerol (~&gt;200x more viscous than diesel), FB injector generates thin ligaments and fine droplets with the thickness or diameter &lt;40 &#181;m at 0-2 mm located at the downstream direction from the injector exit <ref type="bibr">[22]</ref>. Thus, it has enabled ultra-clean, complete, and lean-premixed combustion of distinct fuels including diesel, biodiesel, straight vegetable oil and straight glycerol <ref type="bibr">[10,</ref><ref type="bibr">[23]</ref><ref type="bibr">[24]</ref><ref type="bibr">[25]</ref>. However, relatively larger droplets occur at the FB injector spray periphery <ref type="bibr">[26]</ref>. Also, while atomizing the extremely viscous pure glycerol by using an FB atomizer, the thin ligaments undergo secondary atomization by shear layer instabilities <ref type="bibr">[22]</ref>, yielding a longer atomization completion length compared to the lower viscosity liquids. Hence, though complete, ultra-clean and leanpremixed combustion was even achieved for the non-preheated straight glycerol by FB injection, the flame lift-off height was increased compared to the lower-viscosity fuels, compromising its flame stability <ref type="bibr">[19]</ref>.</p><p>To further improve the secondary atomization with a wide range of viscosity tolerance, our group recently developed a novel Swirl Burst (SB) injector <ref type="bibr">[27,</ref><ref type="bibr">28]</ref>. The SB injector integrates the bubble-bursting primary atomization mechanism of the FB and novel swirling channels on the chamfered exit to guide the AA to leave the injector exit in a swirling pattern (as a combined radial and axial swirl) to rigorously enhance the interaction between the liquid parts and the swirling AA, resulting in more robust secondary breakup. Fig. <ref type="figure">1 (a)-(c</ref>) show the Nomenclature CO carbon monoxide NO X nitrogen oxides SB swirl burst VO vegetable oil H the height between the injector exit and the internal liquid tube tip D the inside diameter of the internal liquid tube tip AA atomizing air PA primary air d h hub diameter d t tip diameter &#945; angle of swirl (swirl vane angle) ISN injector swirl number SN swirl number for the combustion swirl of the gas turbine combustor ALR atomizing air to liquid mass ratio LPM lean premixed G/M glycerol/methanol</p><p>Fig. <ref type="figure">1</ref>. Comparison of water spray images from (a) AB injector <ref type="bibr">[26]</ref> (b) FB injector and (c) SB injector <ref type="bibr">[27]</ref>.</p><p>water spray images by AB, FB and SB injectors respectively <ref type="bibr">[26,</ref><ref type="bibr">27]</ref>.</p><p>Compared to the AB jet core, both FB and SB injectors generate fine droplets at the injector immediate exit with more diverged spray angle for the SB injection. Advanced laser diagnostics in the injector near field also quantitatively substantiated that the SB injector generates finer droplets at the spray periphery with more uniform droplet size distribution and halved atomization completion length than that of an FB injector <ref type="bibr">[27]</ref><ref type="bibr">[28]</ref><ref type="bibr">[29]</ref>. Thus, the SB injector enabled lean-premixed and complete combustion with ultra-low emissions for fuels including diesel, biodiesel, viscous straight vegetable oil (VO), and straight algae oil (AO), without fuel preheating nor hardware modification <ref type="bibr">[4,</ref><ref type="bibr">19,</ref><ref type="bibr">20]</ref>. The VO and AO are approximately 15 times or 16 times more viscous than diesel <ref type="bibr">[4,</ref><ref type="bibr">19,</ref><ref type="bibr">20]</ref>. The flame lift-off height of the straight VO sprays formed by the SB injection was also shortened compared to that of the FB atomizer, enhancing the spray combustion stability, as over-lifted flames are subjective to blow out <ref type="bibr">[4,</ref><ref type="bibr">19]</ref>. A previous version of the novel twophase injector with high-viscosity tolerance but a longer atomization length <ref type="bibr">[21,</ref><ref type="bibr">27,</ref><ref type="bibr">29]</ref> also resulted in clean and complete combustion of straight glycerol (&gt;200 times more viscous than diesel) without fuel preheating, though an insulation layer was used to minimize heat loss <ref type="bibr">[4,</ref><ref type="bibr">10]</ref>. This novel injector design transforms the conventional jetbreaking atomization into ultra-fast and fine atomization with high fuel flexibility <ref type="bibr">[4]</ref>. Compared to a sooty flame with droplets incompletely burned by jet-breaking conventional injection, the SB injector thereby not only enables complete and lean-premixed combustion of low-viscosity liquid fuels, but also enables the ultra-clean and efficient combustion of highly viscous waste glycerol, transforming it into a potential cost-effective biofuel and making the biodiesel production more economically friendly.</p><p>On the other hand, crude glycerol formed as a biodiesel byproduct contains a major impurity in the form of methanol <ref type="bibr">[4,</ref><ref type="bibr">6,</ref><ref type="bibr">11,</ref><ref type="bibr">30,</ref><ref type="bibr">31]</ref>. Methanol is an extremely low viscosity liquid that is used in excess during the trans-esterification process to help convert reactants to biodiesel <ref type="bibr">[4,</ref><ref type="bibr">7]</ref>. Besides, methanol has high octane number that could prevent engine from knocking and reduce greenhouse gas emissions <ref type="bibr">[32]</ref>. While it can be removed and reused in the trans-esterification process, methanol is typically left with the crude glycerol and disposed of because it is easier and cheaper to use a pure supply <ref type="bibr">[4,</ref><ref type="bibr">7,</ref><ref type="bibr">31]</ref>. Also, energy consumption for extracting methanol from biodiesel production is almost 48 % of total energy consumption of biodiesel production <ref type="bibr">[33]</ref>; hence, it is a highly energy expensive process. Compared to glycerol, glycerol/methanol blends, the main components of crude glycerol, can achieve a significantly lower viscosity that is comparable to that of diesel, easing the fuel atomization when using it as a fuel source <ref type="bibr">[4,</ref><ref type="bibr">7,</ref><ref type="bibr">34]</ref>. Crude glycerol from the transesterification process of biodiesel production contains 60-70 % glycerol and 23.4-37.5 % methanol by weight <ref type="bibr">[6]</ref>. Thus, the current study examines glycerol and methanol blends with the composition representing the crude glycerol to avoid the need for possible further refinement of crude glycerol, which could enhance its cost-effectiveness as a potential waste-based biofuel to produce renewable energy <ref type="bibr">[4]</ref>. Furthermore, methanol blended with glycerol helps to avoid heat loss, lower the fuel viscosity, and benefit carbon mitigation as an oxygenated fuel <ref type="bibr">[4,</ref><ref type="bibr">7]</ref>.</p><p>The combustion performance of glycerol/methanol (G/M) blends is rarely investigated. Agwu et al. <ref type="bibr">[7]</ref> investigated the G/M flame characteristics (luminosity, stability etc.) but not the emissions using a conventional pressure swirl injector that is based on jet/film breaking atomization, which generated sooty orange flames. Jin et al. showed that, for Spark Ignition Engine (SIE), by adding 5 % glycerol with methanol by volume can increase the thermal efficiency from 38.3 % to 43.1 %, while NOx emissions and soot in the exhaust gas remain unchanged compared to the 100% methanol fuel <ref type="bibr">[35]</ref>. Oliveria et al. combusted glycerol by chemical looping combustion process and achieved 90 % combustion efficiency at oxygen to fuel molar ratio of 7, water/glycerol ratio of 0.75 and with reactor temperature of 1023 K <ref type="bibr">[36]</ref>. In the current study, the swirl burst (SB) injector, with the preliminary results that proved high viscosity tolerance <ref type="bibr">[19,</ref><ref type="bibr">20]</ref>, is expected to achieve complete, clean, and stable combustion of glycerolmethanol blends without fuel preheating <ref type="bibr">[4]</ref>. The objective of this experiment is to discover the impacts of fuel composition of glycerol and methanol and the atomizing air to liquid mass ratios (ALR) on the global combustion characteristics using the novel SB injector in a lab-scale swirl-stabilized gas turbine combustor <ref type="bibr">[4]</ref>. The flame features of interest include visual flame images, product gas temperatures, and emissions (CO and NO X ) to assess global combustion completeness, cleanness, and flame stability <ref type="bibr">[4]</ref>. The novelty of the current study is thus focused on potentially enabling direct use of crude glycerol for waste to energy with minimal processing by achieving clean and nearly complete combustion of different non-preheated high-viscosity glycerol and methanol blends representing crude glycerol using the SB injector.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.">Experimental setup</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.1.">Swirl burst injector</head><p>The working principle and concept of the swirl burst injector are illustrated in Fig. <ref type="figure">2</ref>, which are detailed in Ref. <ref type="bibr">[4,</ref><ref type="bibr">19,</ref><ref type="bibr">20,</ref><ref type="bibr">27,</ref><ref type="bibr">28]</ref>. The SB injector has two stages of atomization <ref type="bibr">[4]</ref>. The first stage occurs while the AA in the annulus channel surrounding the liquid tube bifurcates and incurs the backflow of a small amount of AA into the liquid tube tip, when the geometric conditions are met: (1) D of the internal liquid tube is equal to that of the injector exit; (2) the gap, H, between the liquid tube tip and the injector exit is &#8804; 1/4D <ref type="bibr">[4]</ref>. The AA backflow rapidly forms a bubble zone with pockets of air enclosed by liquid at the liquid tube tip <ref type="bibr">[4]</ref>. The bubbles expand and burst, causing the surrounding liquid to shatter into fine droplets while exiting the injector, due to a quick pressure drop <ref type="bibr">[4]</ref>. The remaining AA exits the chamfered injector orifice through small grooves in a swirling motion <ref type="bibr">[4]</ref>. This causes increased shearing between the liquid and AA around it, further breaking down the liquid into smaller droplets <ref type="bibr">[4,</ref><ref type="bibr">27,</ref><ref type="bibr">28]</ref>. The swirling grooves in the orifice are defined by three parameters called the hub diameter (d h ), tip diameter (d t ), and swirl vane angle (&#945;) <ref type="bibr">[4]</ref>. The hub and tip diameter describe the volume of air/fuel mixture that passes through the grooves, while the swirl angle describes the angle at which the liquid (fuel mixture) is swirled as it exits the injector <ref type="bibr">[4]</ref>. The swirl burst injector exit orifice is defined using a non-dimensional injector swirl number (ISN) as in Eq. ( <ref type="formula">1</ref>) <ref type="bibr">[4,</ref><ref type="bibr">27,</ref><ref type="bibr">28,</ref><ref type="bibr">37]</ref>. It is a non-dimensional number representing the axial flux of swirl momentum divided by the axial flux of axial momentum times equivalent nozzle radius <ref type="bibr">[4,</ref><ref type="bibr">37]</ref>. The current study uses the SB injector with D of 1.5 mm, H of 0.375 mm, and ISN of 2.4 <ref type="bibr">[4]</ref>. </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.2.">Combustion system</head><p>Fig. <ref type="figure">3</ref> shows the experimental setup of the lab-scale swirl-stabilized gas turbine combustion system <ref type="bibr">[4]</ref>. The in-house compressed air, after passing through water traps and filters to ensure clean air, is split into two lines <ref type="bibr">[4]</ref>. The first line is the primary air for combustion <ref type="bibr">[4]</ref>. The second line, atomizing air, connects to the SB fuel injector that is installed in the center of the downstream dump plane <ref type="bibr">[4]</ref>. Both lines are controlled with mass flow controllers (MFC) <ref type="bibr">[4]</ref>. The mass flow controllers are both Alicat MC-series controllers with a range of 0-100 SLPM for the atomizing air and a range of 0-250 SLPM for the primary air <ref type="bibr">[4]</ref>. Both mass flow controllers have an uncertainty of 0.8 % of the reading &#177;0.2 % of the full range <ref type="bibr">[4]</ref>. The primary air flows into a mixing chamber filled partially with marbles to ensure a laminar and even flow <ref type="bibr">[4]</ref>. Methane flows into the mixing chamber from a compressed natural gas tank <ref type="bibr">[4]</ref>. The flow is controlled with another Alicat MC-series controller with a range of 0-50 SLPM <ref type="bibr">[4]</ref>. For air and methane flow control, all the MFCs use standard conditions and the set value of the standard condition is 25 C temperature and 1 atm pressure. Also, the ambient temperature of the laboratory is 22 C throughout the experiment. To ensure the repeatability of the experiment, preliminary test is conducted by taking emission and temperature data at the combustor exit to ensure the injector and combustor system is function well without leakage. In the mixing chamber, methane is premixed with the primary air which then enters a quartz combustor tube through an axial swirler with a swirl number (SN) of ~0.75 <ref type="bibr">[4]</ref>. The quartz tube is 45 cm long and 7.62 cm wide <ref type="bibr">[4]</ref>. The methane/air flame is used to preheat the chamber before switching the gaseous fuel to fully liquid fuel blends <ref type="bibr">[4]</ref>. The liquid fuel blend is delivered through a pulsation damper by a peristaltic pump <ref type="bibr">[4]</ref>. The peristaltic pump is a Cole-Parmer Masterflex L/S (EW-77921-75) with a range of 0-88 mLPM and an uncertainty of &#177;0.1 % of the reading <ref type="bibr">[4]</ref>. The liquid fuel then enters the fuel injector before entering the quartz combustor as a fine spray <ref type="bibr">[4]</ref>. The fuel blends are atomized using the swirl burst injector with the ISN of 2.4 <ref type="bibr">[4]</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.3.">Experimental conditions</head><p>The fuel blends of glycerol and methanol in this experiment are 50/ 50, 60/40, and 70/30 of glycerol/methanol by percent heat output at a constant theoretic heat release rate (HRR) of 7 kW and a constant equivalence ratio (ER) of 0.75 <ref type="bibr">[4]</ref>. Table <ref type="table">1</ref> provides physical properties of glycerol and methanol compared to conventional diesel fuel <ref type="bibr">[4]</ref>. The experimental conditions and the properties of the fuel mixes are listed in Table 2 <ref type="bibr">[4]</ref>. The viscosity calculations for the fuel blends in Table <ref type="table">2</ref> are calculated with the method detailed by O. Agwu et al in <ref type="bibr">[4,</ref><ref type="bibr">7]</ref>. The fuel blends are fed into the twin-fluid SB injector at ALR of 1.5, 2.0, 2.5, and 3.0 for the spray combustion in the 7-kW swirl stabilized gas turbine Fig. <ref type="figure">3</ref>. Schematic of the experimental set-up <ref type="bibr">[4]</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Table 1</head><p>Selected properties of the relevant fuels <ref type="bibr">[4,</ref><ref type="bibr">7,</ref><ref type="bibr">10,</ref><ref type="bibr">12,</ref><ref type="bibr">13,</ref><ref type="bibr">[38]</ref><ref type="bibr">[39]</ref><ref type="bibr">[40]</ref>.</p><p>Property Diesel Methanol Glycerol Approximate chemical formula C 11.125 H 19.992 CH 4 O C 3 H 8 O 3 Lower Heating Value, LHV (MJ/kg) 44.6 19.9 15.8 Density at 25 &#8226; C (kg/m 3 ) 834.0 791 1260 Kinematic viscosity at</p><p>25 &#8226; C (mm 2 /s) 3.88 0.59 965.8 Auto-ignition temperature ( &#8226; C) 260 464 370 Vaporization temperature ( &#8226; C) 160-370 64.7 290 Heat of vaporization (kJ/kg) 250 726.1 662 Stoichiometric air/fuel ratio (mol/mol) 16.12 7.14 16.66 combustor <ref type="bibr">[4]</ref>. The combustion of the three fuel blends also remains at the constant equivalence ratio of 0.75 <ref type="bibr">[4]</ref>. The combustion products including NOx, CO, carbon dioxide (CO 2 ) and O 2 are measured using an ENERAC (700 series) emission gas analyzer <ref type="bibr">[4]</ref>. The analyzer can detect NOx in dual range mode of the low range 0-50/150 ppm and 0-1500 ppm with a resolution of 0.1 ppm and an uncertainty of &lt; &#177;1% of measurement <ref type="bibr">[4]</ref>. For CO, the measurement range is low range 0-50/ 150 ppm and 0-2000 ppm with a resolution of 0.1 ppm, an uncertainty of &#177;1-2 % of measurement <ref type="bibr">[4]</ref>. The O 2 sensor has a range of 0-25 % with 0.1 % resolution, an uncertainty of &#177;0.2 % of the reading <ref type="bibr">[4]</ref>. The catalytic sensor that detects the combustibles has a range of 0-5 % with an uncertainty of &#177;2 % <ref type="bibr">[4]</ref>. The temperature of the exhaust gas is measured with a type K thermocouple plugged into the emissions analyzer with a range of 0-1100 degrees Celsius and an uncertainty of 2 degrees Fahrenheit <ref type="bibr">[4]</ref>. The thermocouple is placed inside of a thin hollow probe that also collects a continuous sampling of exhaust gas for the emissions analyzer <ref type="bibr">[4]</ref>. The emissions are collected at the combustor exit, i.e., 1 in. upstream the quartz opening, to assess the combustion completeness and cleanness <ref type="bibr">[4]</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.">Results and discussion</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.">Effect of fuel blends on global combustion characteristics</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.1.">Global flame characteristics</head><p>This study first investigates the effect of various fuel mixtures <ref type="bibr">[4]</ref>. The largest apparent difference is the kinematic viscosity of each mixture shown in Table 2 <ref type="bibr">[4]</ref>. The density for 70/30 G/M increases up to 10 % from the density of G/M 50/50. The viscosity varies from 4.16 mm 2 /s for 50/50 G/M, which is only slightly more viscous than diesel in Table <ref type="table">1</ref>, to 18.02 mm 2 /s for 70/30 G/M, i.e., &gt;5x more viscous than diesel <ref type="bibr">[4]</ref>. Flow rates are similar at the constant HRR of 7 kW as illustrated in Table <ref type="table">2</ref>. Visual flame images are taken to qualitatively analyze the cleanness and structure of the flame <ref type="bibr">[4]</ref>. Flame lift-off heights and flame lengths are estimated <ref type="bibr">[4]</ref>. Flame color indicate flame cleanness related to the chemiluminescence <ref type="bibr">[4,</ref><ref type="bibr">12,</ref><ref type="bibr">32]</ref>. For example, blue flames represent chemiluminescence of complete combustion of CH* <ref type="bibr">[24]</ref>. The flame images of G/M fuel blends with a ratio of 50/50, 60/40 and 70/30 by HRR are illustrated in Fig. <ref type="figure">4</ref>. In all the three cases the equivalence ratio and the ALR are maintained at 0.75 and 3.0 respectively. Fuel atomization, fuel pre-vaporization, and fuel-air mixing occurs in the dark area near the injector exit and upstream the flame front, indicating that the mainly lean-premixed (LPM) combustion has achieved for all the three fuel blends <ref type="bibr">[4]</ref>. The main blue color in all the flames qualitatively signifies that all the fuel blends are combusted cleanly. The overall physical flame structure is similar for all the flames, signifying the high fuel flexibility of the novel SB injection regardless of the distinct variation of the fuel viscosity <ref type="bibr">[4]</ref>. The visual flame begins near the axial location of y = 10 cm (with y = 0 for the dump plane) in each fuel mix <ref type="bibr">[4]</ref>. However, the 50/50 mixture creates a slightly more compact and faint flame than the other two mixtures <ref type="bibr">[4]</ref>. The 50/50 mixture's visual flame is located slightly further downstream than the other two mixes at y = 11 cm <ref type="bibr">[4]</ref>. It ends at y = 23 cm, while the other two end further downstream at 24-cm <ref type="bibr">[4]</ref>. The flame lengths are ~12 cm (y = ~11-23 cm), 15 cm (y = ~ 9-24 cm) and 15 cm (y = ~ 9-24 cm) respectively for the 50/50, 60/40 and 70/30 glycerol/methanol (G/M) mixes <ref type="bibr">[4]</ref>. The slight variation is possibly due to (1) the higher viscosity of the 60/40 and 70/30 fuel mixtures causing large droplets to penetrate deeper into the reaction zone more often which increases the residence time of combustion, thus a slightly elongated flames, and (2) more glycerol for the 60/40 and 70/30 resulting in slower vaporization, ignition, and thus slower oxidation due to the high vaporization and auto-ignition temperature of glycerol <ref type="bibr">[4]</ref>. The slightly increased flame lift-off height of the G/M 50/50 is likely due to the higher AA flow rate causing a higher injection velocity for the fuel mixture <ref type="bibr">[4]</ref>.</p><p>From the flame images in Fig. <ref type="figure">4</ref>, it is observed that the flame area of 50/50 G/M is most compact. The 60/40 G/M is with the largest flame area with the longest and widest flame among the three cases. The 70/30 G/M flame has a slightly shorter length than 60/40 G/M flame but the narrowest flame among the three. The flame structure variation is possibly attributed to the combined effects of (1) the fuel blend viscosity;</p><p>(2) the composition of the glycerol component that has high evaporation and ignition temperatures; (3) the fuel injection velocity determined by the AA flow rate. Among the three blends, 50/50 G/M is the least viscous with the lowest AA thus lowest injection/droplet velocity, and the least glycerol amount as shown in Tables <ref type="table">1</ref> and <ref type="table">2</ref>. The lowest viscosity could result in the finest droplets, with the least glycerol amount, which lead to the most rapid fuel evaporation, ignition and thus the fastest oxidation rate, yielding the most compact flame. The lowest injection velocity further enhances the fuel residence time to ensure more complete combustion as substantiated in the later combustion efficiency estimate. The more viscous 60/40 G/M may result in larger droplets than those of 50/50 G/M, plus with more glycerol component, the evaporation rate and thus the subsequent ignition and fuel oxidation rate are all slower than those of the 50/50 G/M droplets, resulting in an elongated flame zone with less completed combustion. The in-between injection velocity ensures more residence time of most of the fuel in the combustor than the 70/30 G/M flame, with less glycerol, yielding the longest flame among the three. The largest width of the 60/40 G/M flame also suggests that though the viscosity is higher than that of the 50/50 G/M, droplets are still fine enough to be burned at the near wall zone due to the fine SB atomization. However, for the 70/30 G/M blend, the viscosity is &gt;2x higher than 60/40 G/M, which might generate more larger droplets at the spray periphery. Those large droplets closer to the wall with the highest glycerol component and highest injection velocity undergo incomplete evaporation and combustion, and rapidly escape from the combustor, leading to the lowest reaction rate at the wall and hence the narrowest flame. As the result, it generates the lowest combustor surface temperature substantiated later in Fig. <ref type="figure">6 (b</ref>). Compared to the larger fuel drops at the spray periphery, the relatively finer droplets in the combustor center experience slow evaporation, ignition and oxidation, leading to a long flame. The comparable flame length of 70/30 G/M to that of the 60/40 G/M blends again suggests that the sizes of the droplets generated at the combustor center are comparable to those of 60/40 G/ M, though more larger ones at the periphery. This again shows the fine atomization and high-viscosity tolerance of the SB injection. This is consistently validated by the comparable combustion efficiency of the 60/40 G/M and 70/30 G/M blends (90.3 % vs 90 %) in the later section, which also indicates most of fuel is atomized in the center regardless of the discrepancy at the spray periphery and closer to the wall. It is worth mentioning that compared to the mainly lean-premixed G/M flames by the novel SB injector, even at 7 kW for G/M 70/30 (by power), a standard pressure swirl injector resulted in mainly diffusion combustion for G/M 30/70 (by volume) at 6 kW that has less glycerol <ref type="bibr">[4,</ref><ref type="bibr">6]</ref>. This suggests the significantly improved SB atomization with considerably finer sprays that evaporated rapidly, mixed more homogeneously with air and burned at premixed mode, even for G/M 70/30, which is ~9x more viscous than the G/M 30/70 (by volume) <ref type="bibr">[7]</ref> and more difficult-toevaporate glycerol <ref type="bibr">[4]</ref>. Note that the representative visual flame images are intended for qualitative information only and flame fluctuation due to turbulence causes variation within the flame <ref type="bibr">[4]</ref>. The quantitative data displayed below may be used for a more detailed analysis of fuel combustion <ref type="bibr">[4]</ref>.</p><p>Fig. <ref type="figure">5</ref> illustrates the radial profiles of CO and NOx emissions at the combustor exit for each fuel mixture at a constant ALR, equivalence ratio, and HRR <ref type="bibr">[4]</ref>. The experiment repeatability is depicted using two experimental data sets of gas temperature and emissions measurements of the 60/40 G/M blends at the combustor exit, shown in Figs. <ref type="figure">5</ref> and <ref type="figure">6</ref> (a). The discrepancy of 1-2 ppm is acquired for the CO emissions with 0 ppm of NOx concentrations measured for both cases, suggesting the repeatability. For both tests, the temperature profiles are following similar trend with uncertainty of 5-18 K for the main flame zone, though a higher discrepancy of ~65 K is observed at one side of the combustor zone. This is highly likely due to the uncertainty of the mass flow controllers (MFCs), shown in Section 2.2. The MFCs measure the actual flow rates based on the setpoint. Though the setpoint of both cases are identical (57.37 SLPM and 86.99 SLPM for AA and PA respectively as shown in Table <ref type="table">2</ref>), the actual AA and PA flow rates are 56.09 SLPM and 88.06 SLPM respectively for the test 1 (dashed green line in Fig. <ref type="figure">5</ref>). For test 1, the lower AA flow rate might lead to some slightly larger droplets at the spray periphery. Those larger drops combust at local diffusion mode without full vaporization, resulting in slightly higher local temperature at the near wall zone in Fig. <ref type="figure">6</ref> (a), and slightly higher CO concentration consistently shown in Fig. <ref type="figure">5</ref>(a). The asymmetry is mainly due to the imperfect injector manufacturing that results in asymmetric droplet size distribution on both sides as shown in previous studies <ref type="bibr">[4,</ref><ref type="bibr">27,</ref><ref type="bibr">28]</ref>. Regardless of the temperature discrepancy near the wall, the experiment is repeatable with the measurement uncertainties for NOx, CO emissions, and temperature of 0, 1-2 ppm, 5-18 K respectively for the main flame.</p><p>All the three fuel mixtures yielded low emissions of CO (&lt;10 ppm) and no NOx emissions indicating ultra-clean combustion <ref type="bibr">[4]</ref>. The CO emissions for 50/50 and 60/40 mixes are within the measurement uncertainty <ref type="bibr">[4]</ref>. The 70/30 mixture of glycerol/methanol by percent HRR tends to have slightly higher CO emissions mainly close to the combustor wall <ref type="bibr">[4]</ref>. This is possibly due to (1) the higher viscosity of the mixture which resulted in larger droplets, especially on the spray periphery <ref type="bibr">[4]</ref>. The larger droplets tend to penetrate the reaction zone without complete evaporation, thus burning in diffusion mode and yielding the slightly higher CO emissions; and/or (2) the lower combustion gas temperature thus lower CO oxidation rate closer to wall, as in Fig. <ref type="figure">6</ref> due to heat loss of the uninsulated quartz combustor to the surrounding by convection and thermal radiation <ref type="bibr">[4]</ref>. NOx is not present for the tested fuel mixes mainly due to the low flame temperature as shown in Fig. <ref type="figure">6 [4]</ref>. Without any nitrogen content in the fuels, thermal NOx favoring high temperature is mainly from N 2 in air at temperature higher than 1800 K <ref type="bibr">[4,</ref><ref type="bibr">41]</ref>. In summary, the global thermal and emission characteristics of the combustion exhaust gases quantitatively suggest clean combustion achieved for all the tested fuel mixes by the SB injection without fuel preheating, regardless of the wide discrepancy in the fuel viscosity and the high evaporation and auto-ignition temperatures of the glycerol component <ref type="bibr">[4]</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.2.">Combustion efficiency</head><p>Combustion completeness is estimated by considering the energy transfer from the combustor as detailed in <ref type="bibr">[4,</ref><ref type="bibr">10]</ref>. Low surface temperatures at the outside of the quartz combustor are due to the heat loss via  convection and radiation from the combustor surface to the surroundings <ref type="bibr">[4]</ref>. To get an accurate assessment of heat loss from the combustor, the gas temperatures measured by the thermocouples are corrected as the thermocouple bead also experiences heat losses through conduction and radiation <ref type="bibr">[4]</ref>. Heat loss from the thermocouple bead causes readings to be lower than the true gas temperature <ref type="bibr">[4]</ref>. Radiation correction of the gas temperature can be found using Eq. ( <ref type="formula">2</ref>) below <ref type="bibr">[4]</ref>.</p><p>where T g is the true gas temperature, T t is the temperature measured by the thermocouple, T s is the ambient temperature, &#963; is the Stefan-Boltzmann constant, &#949; b = 0.89 is the type K thermocouple bead emissivity, and finally h t = 174 W/m 2 K is the estimated forced convective heat transfer coefficient over the thermocouple bead <ref type="bibr">[4,</ref><ref type="bibr">19,</ref><ref type="bibr">42]</ref>. The difference between the thermocouple reading and the calculated true gas temperature is about 340 K for each of the three mixtures <ref type="bibr">[4]</ref>. Solving Eq. ( <ref type="formula">2</ref>) for T g allows a more accurate estimate for the energy released during combustion <ref type="bibr">[4]</ref>.</p><p>To analyze the combustion completeness of each fuel blend, the total energy released during combustion is estimated by adding up the leaving energy carried by exhaust gases using the correct gas temperatures at the combustor exit, and the heat losses from the combustor wall to the surrounding using Eqs. ( <ref type="formula">3</ref>)-( <ref type="formula">5</ref>) as below <ref type="bibr">[4]</ref>.</p><p>where Q total is the total energy released from the combustion process, Q gas denotes energy carried by the leaving combustion gases, calculated in Eq. ( <ref type="formula">4</ref>), and Q losses are energy losses from the combustion gases through the combustor outer wall to the surroundings, via convection and thermal radiation, calculated in Eq. ( <ref type="formula">5</ref>). m g is the mass flow rate of the combustion gases, calculated by summing the liquid fuel mass flow rate and the total air mass flow rate <ref type="bibr">[4]</ref>. T g stands for the true gas temperature calculated previously using the measured temperature by the thermocouple in Eq. ( <ref type="formula">2</ref>). Specific heat capacity of the combustion product gases, C Pair , is estimated for the exhaust gas products of gas mixtures: CO 2 , steam (H 2 O), O 2 and N 2 , approximating complete combustion for lean conditions at the combustion gas temperature, T g <ref type="bibr">[4]</ref>.</p><p>The C Pair for each mixture at the average combustion gas temperature is 1.383 kJ/kg K, 1.372 kJ/kg K, and 1.375 kJ/kg K for the 50/50, 60/40, and 70/30 fuel mixtures respectively <ref type="bibr">[4]</ref>. The value of C Pair is estimated from the calculated C P value of exit gas CO 2 , N 2 , O 2 and H 2 O <ref type="bibr">[43]</ref> at average corrected exit gas temperature T g . A s is the combustor surface area, which is equal to 1077.25 cm 2 , &#963; is the Stefan-Boltzmann's constant, and T w and T surr are the temperatures of the combustor outer wall surface and the surrounding respectively <ref type="bibr">[4]</ref>. Combustor outer wall temperature (T w ) is taken in 3 different sections (1 in. downstream of the dump plane, i.e. the quartz combustor bottom, combustor center, 1 in. upstream from the combustor exit) along the combustor gas flow direction, i.e., the axial direction. &#949; glass is the emissivity of quartz glass, varies along the length of the combustor as a function of the surface temperature and glass thickness <ref type="bibr">[4]</ref>. This value is estimated by using <ref type="bibr">[44]</ref>. The emissivity is extrapolated for each fuel mixture at the three surface temperature measurements taken in Fig. <ref type="figure">5</ref> (b) <ref type="bibr">[4]</ref>. For 50/50 G/ M blend, the estimated emissivity values for the three corresponding temperature and segments of the combustor wall are 0.6782, 0.7032 and 0.7121 from bottom to top. Estimated emissivity for 60/40 blend are 0.7042, 0.7212 and 0.7217, and for 70/30 blend are 0.7272, 0.7336 and 0.7315. These values are used to estimate the heat loss from the outside surface of the quartz glass by thermal radiation in 3 segments of the combustor quartz glass, based on the quartz combustor wall temperature at bottom, middle and top of the combustor <ref type="bibr">[4]</ref>. Natural convective heat transfer co-efficient, h a is estimated by using the natural convective heat transfer equations <ref type="bibr">[45]</ref>. Adding the heat loss through each segment of the combustor outer wall, total heat loss to the surrounding by the combustor wall is estimated. The released heat of each mixture is estimated to be 6.63 kW, 6.32 kW, and 6.30 kW for the 50/50, 60/40, and 70/30 fuel mixtures, at an ALR of 3, respectively by summing the enthalpy of the exhaust gas leaving the combustor end and the heat loss through the quartz tube outer wall <ref type="bibr">[4]</ref>. Thus, the estimated combustion efficiencies are 94.9 %, 90.3 %, and 90 % respectively for the G/M mixtures at the ratios of 50/ 50, 60/40, and 70/30 at an ALR of 3 and the constant theoretical HRR of 7 kW. In comparison, straight glycerol with extremely high viscosity was completely burned in the same 7 kW but insulated combustor owing to the fine FB atomization in our prior studies <ref type="bibr">[4,</ref><ref type="bibr">12,</ref><ref type="bibr">22]</ref>. With further enhanced atomization, the SB injector integrating the FB injection concept <ref type="bibr">[46,</ref><ref type="bibr">47]</ref> led to complete combustion of other straight oils including algae oil and vegetable oil <ref type="bibr">[19,</ref><ref type="bibr">48]</ref> that are more viscous than the most viscous fuel blend (70/30 G/M) in the current study <ref type="bibr">[4]</ref>. Therefore, the unburned fuel is (1) may be mainly due to the high ALR and thus high injection velocity resulting in some fuel leaving without sufficient residence time to be completely combusted; (2) and also possibly due to the high evaporation and auto-ignition temperatures of glycerol and the currently uninsulated combustor, which dissipates heat loss, reducing temperatures and thus fuel evaporation and oxidation rates in the combustor; and (3) some unburned larger droplets at the more viscous blends 60/40 and 70/30 compared to the G/M 50/50 case; (4) increased glycerol component in G/M 60/40, 70/30 than that of 50/ 50 <ref type="bibr">[4]</ref>. Despite the more unburned fuels for the glycerol-denser fuel blends, the 50/50 G/M mix is near complete combustion at ALR of 3 owing to the effective SB atomization yet without fuel preheating nor insulation <ref type="bibr">[4]</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2.">The effect of ALR on the global combustion characteristics</head><p>Previous studies have indicated that an increase in ALR results in finer atomization that might further benefit fuel evaporation, fuel-air mixing, and efficient combustion <ref type="bibr">[4,</ref><ref type="bibr">[46]</ref><ref type="bibr">[47]</ref><ref type="bibr">[48]</ref>. The present work also investigated the effect of ALR on the overall combustion characteristics of glycerol/methanol fuel blends, while keeping constant equivalence ratio, HRR and total air flow rate by varying the AA and PA flow rates <ref type="bibr">[4]</ref>. The ALRs of 1.5, 2.0, 2.5, and 3.0 are employed to explore the combustion performance for the fuel blend 50/50 that is most comparable to diesel in terms of fuel properties <ref type="bibr">[4]</ref> and G/M 70/30 that represents crude glycerol.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2.1.">Global flame characteristics for 50/50 G/M</head><p>Fig. <ref type="figure">7</ref> displays the visual flame images of 50/50 at each of the four ALRs previously mentioned <ref type="bibr">[4]</ref>. Each of the images show relatively similar flame structure with the visual flame beginning at the axial location of around y = 10 cm and ending before y = 25 cm <ref type="bibr">[4]</ref>. As the ALR increases, flame width increases while flame length and flame liftoff slightly decrease <ref type="bibr">[4]</ref>. This is possibly because of the finer droplets due to the increased ALR that evaporate faster and mix more homogenously with air, yielding a more radially distributed flame within the combustor at the highest ALR of 3.0 <ref type="bibr">[4]</ref>. This also means that the injector with higher AA can quickly break down larger particles at the higher ALR so that they can begin to combust sooner and in a shorter residence time than those at the lower ALRs, resulting in a slightly less limited flame at the high ALR though the droplet velocity is higher <ref type="bibr">[4]</ref>. Despite the slight discrepancy, at all the ALRs, mainly lean-premixed flames are obtained indicative of the upstream dark region of fuel evaporation and mixing as the result of the fine SB atomization <ref type="bibr">[4]</ref>.</p><p>Fig. <ref type="figure">8</ref> shows the radial emissions profiles of CO and NOx at the combustor exit for the 50/50 fuel mixture at ALRs ranging from 1.5 to 3.0 <ref type="bibr">[4]</ref>. The SB injector achieved ultra-low emissions at every ALR tested with CO &lt; 5 ppm and NOx at nearly 0 <ref type="bibr">[4]</ref>. With no nitrogen element in the fuel, NOx is mainly created by the thermal NOx mechanism that takes place at temperatures above 1800 K <ref type="bibr">[4,</ref><ref type="bibr">19]</ref>. As shown in Fig. <ref type="figure">9</ref>, the glycerol/methanol fuel mixtures did not reach temperatures near that mainly due to the high evaporation and auto-ignition temperature of the glycerol component and heat loss of the uninsulated combustor as aforementioned <ref type="bibr">[4]</ref>. The 50/50 fuel mixture creates very low CO emissions which indicates near complete combustion for each ALR <ref type="bibr">[4]</ref>. The CO emission readings are also ultra-low, even near the combustor walls indicating clean combustion possibly owing to the more uniform size distribution of droplets generated by the SB injector <ref type="bibr">[4,</ref><ref type="bibr">46,</ref><ref type="bibr">47]</ref> compared to the FB injection and conventional atomizers such as airblast and pressure swirl injectors <ref type="bibr">[4]</ref>. Decrease in ALR resulted in a slight increase in CO emissions, which is likely due to some slightly larger droplets burn locally at diffusion mode or incompletely. However, it is within the uncertainty range of CO measurement. Fig. <ref type="figure">9</ref> illustrates that the increase in ALR resulted in slightly lowered combustion exhaust gas temperature at the combustor exit <ref type="bibr">[4]</ref>. This is possibly attributed to the increased injection velocity at the higher ALR that slightly shortens the residence time of the fuel blend in the combustor <ref type="bibr">[4]</ref>. On the other hand, at the lower ALR, though the droplets might be slightly larger, fuel stayed longer in the combustor to further approach complete combustion and release more energy to raise up the gas product temperature Fig. 9. Radial temperature profile of combustion products at the combustor exit at various ALRs for the G/M blend of 50/50 [4]. </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2.2.">Global flame characteristics for 70/30 G/M</head><p>The effect of ALRs on the combustion characteristics of the 70/30 G/ M by HRR is also investigated, which contains G/M ratio of 74.6/25.4 by weight and is also representative to crude glycerol from the transesterification process that contains ~62-76 % glycerol <ref type="bibr">[49]</ref> and ~23-38 % methanol by weight <ref type="bibr">[6]</ref>. The 70/30 G/M mix is ~4.5x viscous than conventional diesel as in Tables <ref type="table">1</ref> and <ref type="table">2</ref>. Hence, it becomes difficult to combust effectively by conventional AB atomizer. Flame images of the ALRs of 1.5, 2.0, 2.5 and 3.0 for G/M 70/30 ratio by HRR are shown in Fig. <ref type="figure">11</ref>. For all the ALRs, the dark region from the combustor dump plane to the upstream the flame suggests mainly LPM combustion. At the ALR of 1.5 more orange color reflects the soot chemiluminescence. With the increase in ALRs, probably due to enhanced atomization, mainly blue flames were observed indicating clean combustion is achieved. Flames become more compact with the increase in ALR due to finer atomization that quickens fuel evaporation, mixing, and oxidation. At ALR of 1.5, the flame starts at around y = 8 cm and ends at y = 27 cm, with an approximate flame length of 19 cm. Whereas, at the higher ALR of 3.0, flame starts at y = 10 cm and ends at y = 23 cm, with a compact flame length of around 13 cm. It is also observed that the flames are slightly shifted to one side of the combustor. This may be attributed to (1) the turbulence nature of flame; (2) imperfect manufacturing of the SB injector that results in more larger droplets at one side than those on the other side <ref type="bibr">[19]</ref>. More uniform distributed flame is observed at the increased ALR, which is likely due to finer droplets that rapidly and fully evaporate and result in homogenous fuel vapor-air mixture and thus combustion. Fig. <ref type="figure">12 (a</ref>) and (b) exhibit the radial profiles of CO and NOx emissions at 1 in. upstream the combustor exit. It is seen that CO concentration of one side of the combustor is higher. In one side of the combustor, CO concentration is more than 100 ppm for ALR of 1.5, which is not shown in Fig. <ref type="figure">12 (a)</ref>. In consistent to the visual flame images, this is likely due to (1) more larger droplets at one side of the injector at the lower ALRs (1.5 and 2.0) which penetrate into the reaction zone without complete evaporation, resulting in less homogenous fuel air mixing in the near wall zone; (2) at the near wall zone, temperature is lower than the center zone of the combustor, which may lead to slower CO oxidation. Nevertheless, for ALR of 3.0, CO concentration is less than 10 ppm. This indicates that very fine and uniform size droplets are generated by the SB injector, which leads to rapid, complete evaporation with homogeneous fuel-air mixing. Thus, the novel SB injector achieved clean combustion even for a very high-viscosity G/M blend of 70/30 ratio, without fuel preheating.    temperature is higher compared to the near wall zone due to the heat loss through convection and radiation heat transfer in the near wall zone by the combustor quartz glass. Exhaust gas temperature is higher for lower ALRs. Again, this may be due to the lower ALR, injection velocity is lower at the decreased AA, which provides higher residence time to combust more completely. Besides, for the 70/30 G/M blend, the generated droplets may be slightly larger compared to the 50/50 and 60/40 G/M blends. These slightly larger droplets get more time to burn more completely and release more energy at lower ALRs when the injection velocity is reduced. For the lower ALR of 1.5, concentration of CO 2 is higher than that at the higher ALRs as per Fig. <ref type="figure">14 (a)</ref>, which consistently indicates that more complete combustion incurred for lower ALR of 1.5. Fig. <ref type="figure">14 (b</ref>) illustrates O 2 concentration in exhaust gas, again substantiating that the completeness of combustion is higher for lower ALRs, concentration of the remaining O 2 in exhaust gas is thus lower.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2.3.">Combustion efficiency</head><p>Combustion completeness is estimated as aforementioned by summing the energy of the exhaust gas and the convection and radiation heat loss of the quartz combustor wall to the surrounding <ref type="bibr">[19,</ref><ref type="bibr">50]</ref>. To minimize the thermocouple error, convection and radiation heat loss by the bead of thermocouple to the surrounding is taken into consideration and Eq. ( <ref type="formula">2</ref>) is used to estimate the corrected exhaust gas temperature <ref type="bibr">[19]</ref>. Estimated temperature difference between the thermocouple reading and true gas temperature is 346-402 K for ALR of 1.5-3.0 for 50/50 G/M and 334-391 K for ALRs of 1.5-3.0 for 70/30 G/M blends. To estimate total energy released by the combustion Eqs. ( <ref type="formula">3</ref>)-( <ref type="formula">5</ref>) are used <ref type="bibr">[19,</ref><ref type="bibr">45]</ref>. Theoretical input power is 7 kW. The estimated Cp of the  combustion exhaust gas are 1.4002, 1.3893, 1.3871 and 1.3834 for the ALRs of 1.5, 2.0, 2.5 and 3.0 for 50/50 G/M, based on the corrected gas temperature <ref type="bibr">[43]</ref>. Similarly, the estimated Cp values are 1.3932, 1.3858, 1.3812 and 1.3753 for the ALRs of 1.5, 2.0, 2.5 and 3.0 for 70/ 30 G/M <ref type="bibr">[43]</ref>.</p><p>The estimated heat release for ALRs of 1.5, 2.0, 2.5 and 3.0 of G/M 50/50 blend are 6.97 kW, 6.81 kW, 6.61 kW and 6.64 kW respectively, signifying 99.5 %, 97.2 %, 94.5 % and 94.9 % combustion efficiency respectively. Our previous study found that an increase in ALR leads to a finer SB spray that is expected to evaporate faster for homogeneous fuelvapor and air mixing and thus clean and complete combustion <ref type="bibr">[19,</ref><ref type="bibr">28]</ref>. It is interesting that with the increase in ALR, the combustion completeness degree decreases. This is attributed to the higher injection velocity at the higher ALR <ref type="bibr">[4]</ref>, at which the atomizing air flow rate is increased at the constant liquid flow. Hence, fuel residence time reduces, and fuel leaves the combustor without complete burn. This also signifies that the fine atomization already achieved at ALR of 1.5 by the SB injection. Also, this again substantiates that the incomplete combustion observed at ALR of 3 for the 50/50 G/M mix in the previous section 3.1 is due to the insufficient fuel residence time, rather than ineffective atomization, as increase in ALR further enhances atomization. From Fig. <ref type="figure">10</ref>, it is also observed that at the lower ALR, CO 2 concentration in exhaust gas is higher and O 2 concentration is lower compared to those at a higher ALR. This again substantiates that at a lower ALR, more fuel is burnt with higher O 2 consumed and more CO 2 generated and thus less excess O 2 concentration in exhaust gas. Similar trend of completeness of combustion is observed for the different ALRs for 70/30 G/M blend. The estimated heat release rate for the ALRs of 1.5, 2.0, 2.5 and 3.0 of 70/30 G/M blend are 6.80 kW, 6.55 kW, 6.39 kW and 6.24 kW respectively, indicating the efficiency of 97.2 %, 93.6 %, 91.3 % and 90 % respectively. At the lower ALR of 1.5 for the least and most viscous blends of G/ M 50/50 and 70/30, the combustion is nearly completed despite of using uninsulated combustor and highly viscous fuel without pre-heating, reflecting the ultra-fine spray generation for the viscous mix by the SB injector. The viscosity range of the blends varied almost 5 times of diesel, which proves a very wide range of viscosity tolerance of the SB injector to combust fuel cleanly and efficiently with high fuel flexibility. Also, the SB injection at ALR of 1.5 results in complete combustion of all the G/M blends regardless of the distinct viscosity variations.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.">Conclusion</head><p>The current study investigates the combustion characteristics of glycerol/methanol blends using a novel twin-fluid injector with proved high-viscosity tolerance and fuel flexibility <ref type="bibr">[4]</ref>. Biofuels, as oxygenated fuels, are highly desired to mitigate carbon footprint in energy generation <ref type="bibr">[4]</ref>. The so-called SB injector utilizes a novel two-phase atomization concept to generate fine sprays immediately rather than a typical breaking jet/film of conventional atomizers such as air-blast or pressure swirl injectors widely used in gas turbine engines <ref type="bibr">[4]</ref>. In the present study, the SB injection has yielded mainly lean-premixed combustion with ultra-low emissions of CO and NOx regardless of the wide range of fuel viscosity for the 50/50, 60/40, and 70/30 (~5x higher viscosity than diesel) of glycerol/methanol blends by percent HRR without fuel preheating nor insulation <ref type="bibr">[4]</ref>. Estimate of energy released from the combustion indicates that the fuel blends of 50/50, 60/40, and 70/30 at an ALR of 3, achieve 94.9 %, 90.3 %, and 90 % complete combustion respectively <ref type="bibr">[4]</ref>. The unburned fuel is mainly due to the high evaporation and auto-ignition temperature of the glycerol component in the uninsulated combustor <ref type="bibr">[4]</ref>. For the fuel mix of 50/50 and 70/30, the increase in ALR results in more radially distributed flame and slightly reduced flame lift-off height due to the improved atomization at the higher ALR <ref type="bibr">[4]</ref>. On the other hand, more complete combustion with higher product gas temperatures is acquired at lower ALRs due to lower injection velocity and thus longer residence time of fuels <ref type="bibr">[4]</ref>. Estimated combustion completeness for ALRs of 1.5, 2.0, 2.5 and 3.0 of 50/50 G/M blends are 99.5 %, 97.2 %, 94.5 % and 94.9 % respectively; and for ALRs of 1.5, 2.0, 2.5 and 3.0 of 70/30 G/M blends are 97.2 %, 93.6 %, 91.3 % and 90 % respectively. The SB injection at the ALR of 1.5 results in complete combustion for the least and most viscous G/M blends regardless of the distinct viscosity variations, showing its powerful atomization capability and high fuel flexibility for ultra-clean and efficient combustion. Each ALR achieves ultra clean and near-complete combustion with near zero emissions of CO and NOx <ref type="bibr">[4]</ref>. Overall, the SB injection has enabled clean and near complete combustion of glycerol and methanol mixes representing crude glycerol with minimal waste processing without fuel preheating nor combustor insulation, signifying that the SB injector can enable the use of cost-effective biofuels for power generation with reduced carbon footprint <ref type="bibr">[4]</ref>. </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>CRediT authorship contribution statement</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Declaration of competing interest</head><p>The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1.">Introduction</head><p>As fossil fuel reserves continue to deplete, researchers in the field of biodiesel combustion research have turned their focus towards developing alternative sources of energy <ref type="bibr">[1]</ref>. Consequently, the production of biodiesel is steadily on the rise. As biodiesel production increases, so does the generation of its byproducts. The primary and most commonly used biodiesel production process is transesterification, in which the raw material is oils and fats from plants or animals <ref type="bibr">[2,</ref><ref type="bibr">3]</ref>. Biodiesel can be combusted cleanly and efficiently without preheating and further modification due to its properties similar to those of diesel. Biodiesel primarily yields glycerol (C3H8O3) as its main byproduct <ref type="bibr">[4]</ref>. The quantity of glycerol produced during biodiesel production constitutes approximately 10% of its total weight <ref type="bibr">[5]</ref>. Glycerol has limited use in a few industrial sectors of cosmetics, food processing, packing material, etc. The excess glycerol production can be treated as waste, which is a challenging task to dispose of in the environment <ref type="bibr">[5]</ref>. Due to the high viscosity, high surface tension, and low calorific value of glycerol, it is difficult to burn <ref type="bibr">[6]</ref> with conventional injectors such as air-blast (AB) atomizers that are highly sensitive to slight variations in fuel properties. However, due to its substantial oxygen content and moderate heat output, glycerol is a feasible biofuel option for combustion, aiming to decrease carbon emissions <ref type="bibr">[7,</ref><ref type="bibr">8]</ref>. On the other hand, crude glycerol from biodiesel contains methanol <ref type="bibr">[9]</ref><ref type="bibr">[10]</ref><ref type="bibr">[11]</ref><ref type="bibr">[12]</ref>, which has a high octane number, high performance, and low emissions <ref type="bibr">[8,</ref><ref type="bibr">13]</ref>. Additionally, methanol can be produced from biomass <ref type="bibr">[8,</ref><ref type="bibr">13]</ref>. Efficiently combusting glycerol and methanol blends can reduce the cost of purifying crude glycerol, which contains 60-70% glycerol and 23.4-37.5% methanol by weight <ref type="bibr">[5]</ref>. Moreover, by blending methanol with glycerol, the viscosity of the blend reduces significantly compared to pure glycerol <ref type="bibr">[8]</ref>. However, it is ~3&#215; viscous than diesel <ref type="bibr">[14]</ref>, which is difficult to burn by using the AB injector <ref type="bibr">[8]</ref>.</p><p>In the present era, there is a worldwide inclination towards implementing strict emissions regulations to reduce global warming <ref type="bibr">[8]</ref>. Scientists are actively engaged in efforts to minimize emissions through the implementation of clean and efficient combustion approaches <ref type="bibr">[8]</ref>. Fine spray generation, which helps to evaporate the spray quickly and mix with air homogeneously, is a pre-requisite for clean and complete combustion <ref type="bibr">[8]</ref>. However, the atomization capability of the conventional AB atomizer is limited. The AB atomizer introduces a fuel at a relatively lower velocity while injecting air at a higher velocity through the injector <ref type="bibr">[8,</ref><ref type="bibr">15]</ref>. It first produces a liquid jet core or film at the injector exit, which breaks further downstream by creating long ligaments, short streaks, and large droplets gradually by shear layer instabilities between the liquid fuel and the high-velocity air <ref type="bibr">[8,</ref><ref type="bibr">[15]</ref><ref type="bibr">[16]</ref><ref type="bibr">[17]</ref>. When ligaments and larger droplets move further in the flow direction, aerodynamic forces by the relative velocity of the ligaments and droplets with the surrounding air break the ligaments and droplets into smaller droplets, which is called secondary atomization <ref type="bibr">[8,</ref><ref type="bibr">18,</ref><ref type="bibr">19]</ref>. However, for liquid fuels with even a slight increase in viscosity and surface tension force, shear layer instabilities are suppressed, hindering the liquid disintegration to yield larger droplets and ligaments that do not fully vaporize <ref type="bibr">[19,</ref><ref type="bibr">20]</ref>. Hence, they burn in diffusion mode locally, resulting in high local flame temperature and pollutant emissions <ref type="bibr">[7,</ref><ref type="bibr">8,</ref><ref type="bibr">16,</ref><ref type="bibr">17,</ref><ref type="bibr">21]</ref>. For instance, sustainable aviation fuel C-3 has almost 2.5 times higher viscosity of conventional jet fuel Jet A <ref type="bibr">[22,</ref><ref type="bibr">23]</ref>. Due to the limited atomization capability of AB injector while atomizing C-3, it exhibited the lowest ignition capability among the tested fuels, including Jet A-1, A-2, A-3, C-1, C-2, C-3, C-4, C-5, and C-7 <ref type="bibr">[23]</ref>.</p><p>Gan&#225;n-Calvo (2005) developed the flow-blurring (FB) atomizer with a significantly enhanced atomization efficiency <ref type="bibr">[8,</ref><ref type="bibr">24]</ref>. Compared to the conventional AB atomizers that atomize by external air-liquid interaction, the FB atomizer uses a unique internal geometry to incur rapidly formed internal two-phase flow with entrapped air bubbles. While crossing the injector exit, the air bubbles expand and burst robustly due to the dramatic pressure drop. This tears the surrounding liquid into fine droplets immediately at the injector exit, defined as primary atomization. Hence, the FB atomizer offers a significantly larger total droplet surface area, ranging from five to fifty times greater than the AB atomizer <ref type="bibr">[24]</ref>. Due to the fundamentally varied primary atomization mechanism, the FB atomizer has a broader range of fine spray generation capability irrespective of viscosity <ref type="bibr">[8,</ref><ref type="bibr">16,</ref><ref type="bibr">22,</ref><ref type="bibr">25]</ref>. It generates droplets with smaller diameter and more uniform droplet size distribution. For water, the Sauter mean diameter (SMD) is 5-25 &#181;m for FB and 5-45 &#181;m for AB &#8805;2 cm downstream of the injector exit <ref type="bibr">[8,</ref><ref type="bibr">21]</ref>. This creates a shorter atomization complete length (for FB ~2.67 D downstream from the injector exit with diameter of D and AB &gt; 50D from the injector exit) <ref type="bibr">[26]</ref>. FB generates fine droplets for a variety of liquids: water <ref type="bibr">[26]</ref>, diesel <ref type="bibr">[27]</ref>, biodiesel <ref type="bibr">[28]</ref>, vegetable oil <ref type="bibr">[27]</ref>, Jet A-2 <ref type="bibr">[29]</ref>, JP-5 <ref type="bibr">[29]</ref>, viscous sustainable aviation fuel C-3 <ref type="bibr">[22,</ref><ref type="bibr">29]</ref>, and even thin ligaments for extremely viscous glycerol at the injector immediate exit <ref type="bibr">[30]</ref>. As a result, the FB injection resulted in clean, lean-premixed, and complete combustion of diesel <ref type="bibr">[31]</ref>, biodiesel <ref type="bibr">[31]</ref>, vegetable oil (VO) <ref type="bibr">[31]</ref>, and even straight glycerol <ref type="bibr">[7]</ref> (~&gt;200&#215; more viscous than diesel) without preheating the fuel or the air. However, though the primary atomization generates fine droplets for distinct fuels, thin ligaments are observed for extremely viscous glycerol at the injector immediate exit <ref type="bibr">[8,</ref><ref type="bibr">30]</ref>. <ref type="bibr">Jiang et al. (2015)</ref> observed that larger droplets are generated at the spray periphery while atomizing water by using the FB injector <ref type="bibr">[26]</ref>. Additionally, for high-viscosity glycerol, small ligaments, in addition to droplets, are generated at the injector exit. These ligaments and larger droplets undergo a longer secondary atomization length than low-viscosity water <ref type="bibr">[8,</ref><ref type="bibr">30]</ref>. This causes a long fuel prevaporization and fuel-air mixing zone, leading to a further-lifted-off flame that is subject to blow-off <ref type="bibr">[8]</ref>. <ref type="bibr">Sharma et al. (2024)</ref> investigated the effects of atomizing air to liquid mass ratio (ALR) and swirl number for preheated glycerol at 400 K and preheated air at 500 K in a swirl stabilized combustor by using the FB injector <ref type="bibr">[32]</ref>. They found the lift-off height increases with the increase of ALR and swirl number <ref type="bibr">[32]</ref>. FB was also utilized to combust preheated vegetable oil and glycerol at 400 K with preheated air at 500 K in a swirl stabilized combustor <ref type="bibr">[33]</ref>. It was observed that with the increase in swirl number, flame stability increases <ref type="bibr">[33]</ref> with cleaner combustion compared to the counter-swirl AB injector.</p><p>In order to further enhance the secondary atomization, our group recently developed a novel twin-fluid injector called a swirl burst (SB) injector by innovatively introducing swirling atomizing air (AA) with the FB concept <ref type="bibr">[17,</ref><ref type="bibr">34,</ref><ref type="bibr">35]</ref>. It creates stronger shear layer interactions by forming the radial and tangential velocity components of the AA via uniquely designed swirling vane channels to disintegrate the large droplets and/or ligaments rapidly at the injector nearfield by secondary atomization <ref type="bibr">[8,</ref><ref type="bibr">17,</ref><ref type="bibr">36,</ref><ref type="bibr">37]</ref>. Thus, the SB injector generates more uniform and finer droplets with diverged spray angles <ref type="bibr">[8,</ref><ref type="bibr">35,</ref><ref type="bibr">[37]</ref><ref type="bibr">[38]</ref><ref type="bibr">[39]</ref><ref type="bibr">[40]</ref> than an FB injector <ref type="bibr">[29,</ref><ref type="bibr">34,</ref><ref type="bibr">35]</ref>. The atomization length of the SB injector is half of the FB injector; thus, the SB yielded lower lifted-off and more compact flames of straight VO, signifying enhanced flame stability and compactness <ref type="bibr">[8,</ref><ref type="bibr">34]</ref>. In addition, combustion efficiency is further improved for SB compared to FB: for non-preheated straight VO, completeness of combustion was found to be 98% by using the SB injector whereas 95% completeness was found by using the FB injector <ref type="bibr">[8,</ref><ref type="bibr">17]</ref>. The SB injector achieved complete, lean-premixed combustion of straight algae oil (AO) (~16&#215; more viscous than diesel) with ultra-low CO (6-8 ppm) and NOx (6 ppm) emissions at an equivalence ratio of 0.65 and air-to-liquid mass ratio (ALR) of 4.34, proving the fine atomization capability of the SB injector <ref type="bibr">[8,</ref><ref type="bibr">36]</ref>. Furthermore, computational simulation and modeling provide insight into the fundamental two-phase atomization mechanism underlying the ultra-fine spray formation and clean combustion using the FB injection concept that shares the same primary atomization mechanism with the SB atomization. <ref type="bibr">Murugan et al. (2020)</ref> found that the two-phase flow pattern of the FB injector is investigated numerically by large eddy simulation (LES) <ref type="bibr">[41]</ref>. They observed that the threshold ALR for the working principle of FB injector is 0.6 <ref type="bibr">[41]</ref>. Ling and Jiang (2024) investigated the internal twophase flow dynamics and break-up mechanism of the FB atomization concept using a twodimensional (2D) rectangular section <ref type="bibr">[42]</ref>. They identified the threshold Weber number and dynamic pressure ratio at which a bubbly-jet region is generated, which is a transition regime between the AB-jet regime and the FB-jet regime formed near the liquid tube tip inside the atomizer <ref type="bibr">[42]</ref>. <ref type="bibr">Nasim et al. (2023)</ref> found that air penetration depth upstream of the liquid channel tip increases as the ratio of the gap between the liquid flow tube exit and atomizer exit (H) to the center liquid channel's inner diameter (D) decreases for the SB injector <ref type="bibr">[43]</ref>. In addition, the numerical method utilized by <ref type="bibr">Cravero et al. (2024)</ref> has the potential to establish the correlation between the injector swirl geometry and the turbulence phenomena of the two-phase atomization <ref type="bibr">[44]</ref>. The recirculation length of the two-phase flow, if any, can also be numerically simulated by the 3-dimensional large eddy simulation <ref type="bibr">[45]</ref>.</p><p>To reduce NOx and particulate matter emissions, dual-fuel combustion is being explored in combustion systems. <ref type="bibr">Papagiannakis et al. (2004)</ref> used natural gas (NG) in a dual-fuel diesel engine with the pilot diesel ignition and observed ~50-200 ppm less NOx while running at 2500 rpm and ~100-800 ppm less NOx while running at 1500 rpm compared to direct diesel combustion in a compression ignition (CI) engine <ref type="bibr">[46]</ref>. By using methane (CH4) in a dual-fuel diesel-methane combustion <ref type="bibr">Guido et al. (2018)</ref> found less soot and almost a 40% reduction in particles found in the combustion gas products <ref type="bibr">[47]</ref>. They also observed ~0.02-0.35 mg/L less soot concentration of dual-fuel compared to diesel combustion <ref type="bibr">[46]</ref>. Moreover, in spark-ignition (SI) engines, dual-fuel combustion can reduce emissions and enhance performance by reducing fuel consumption <ref type="bibr">[48]</ref>. Iorio et al. (2013) discovered ~0.012 g/kg lower CO, ~15 g/kg lower NOx and ~2-5 g/kg less particulate emission by utilizing methane-gasoline dual fuel combustion compared to gasoline combustion in a SI engine <ref type="bibr">[49]</ref>. Similarly, by utilizing biodiesel and NG dual-fuel combustion in a radial swirl gas turbine at an equivalence ratio of 0.5, found ~10 ppm less NOx compared to biodiesel combustion <ref type="bibr">[50]</ref>. Chong et al. (2020) demonstrated ~1.5 g/kWh less NO at an equivalence ratio of 0.65 by using diesel-NG dual fuel combustion compared to diesel combustion in a model gas turbine combustor <ref type="bibr">[51]</ref>. Additionally, using an FB injector, Jiang et al. (2014) combusted pure glycerol with methane in a 7 kw model gas turbine combustor and found that flame length becomes almost half when methane flow is increased from 4.14 slpm to 7.12 slpm with a constant heat release rate (HRR) of 7.9 kW <ref type="bibr">[7,</ref><ref type="bibr">8]</ref>. Also, due to the high temperature, ~1800-2000 K, at a distance of 8 cm from the injector exit for 55% of methane by HRR, fuel pre-vaporization is faster compared to the 32% methane by HRR in glycerol and methane co-combustion at an ALR of 2.23, resulting in more homogeneous air-fuel mixing and more complete combustion with less pollutant emissions <ref type="bibr">[7]</ref>. Thus, for 55% methane by HRR in the co-combustion of glycerol and methane, carbon monoxide (CO) emission is ~20 ppm and NOx emission is ~10 ppm less than the 32% methane by HRR <ref type="bibr">[7]</ref>.</p><p>In our previous study, by using an SB injector, we achieved ultra-low CO and NOx concentrations and promising combustion efficiency of G/M blends in the ratios of 50/50, 60/40, and 70/30, as well as at different ALRs for 50/50 ratio of G/M (1.5-3.0) <ref type="bibr">[8,</ref><ref type="bibr">52]</ref>. Nearcomplete combustion was achieved for 50/50 with relatively lower combustion efficiency for 60/40 and 70/30 by HRR <ref type="bibr">[8,</ref><ref type="bibr">52]</ref>. To further improve the combustion efficiency, the present study is concentrated on analyzing the effect of methane amount through the combustion swirler on the dual-fuel combustion performance (methane and 60/40 G/M blend by HRR) at a constant ALR of 3.0 using the SB injector for the liquid portion <ref type="bibr">[8]</ref>. G/M blend of 60/40 ratio represents crude glycerol <ref type="bibr">[5]</ref>. Additionally, the impact of ALRs on the G/M of 60/40 methane main flame of the dual-fuel combustion is investigated with the small quantity of premixed methane of 1 kW <ref type="bibr">[8]</ref>. The equivalence ratio and total HRR are kept constant at 0.75 and 7.0 kW, respectively <ref type="bibr">[8]</ref>. Flame images, concentration of CO and NOx in the combustion gas products, and combustion gas products and combustor wall temperature are also studied to determine the global combustion characteristics of the dual-fuel G/M of 60/40 methane combustion <ref type="bibr">[8]</ref>. The novelty of this work mainly resides in (1) achieving lean premixed combustion with near zero NOx and CO emissions of the dual-fuel G/M 60/40-methane with the methane amount of 0-3.0 kW, without fuel nor air preheating, (2) investigating the optimum methane amount to enhance the efficiency of the duel-fuel combustion of G/M 60/40-methane blends, and (3) acquiring complete combustion of G/M 60/40-methane blends with a small amount of methane at 1 kW by using the novel SB injector at two-phase mass ratio of 2, enabling use of waste crude glycerol as a biofuel.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.">Experimental Setup</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.1.">Working Principle of Swirl Burst Injector</head><p>Figure <ref type="figure">1</ref> illustrates the SB injector's working principle <ref type="bibr">[8,</ref><ref type="bibr">17,</ref><ref type="bibr">36]</ref>. Key geometrical properties of the SB injector are provided in Table <ref type="table">1</ref>. Liquid fuel passes through the center channel, and atomizing air (AA) flows through the annulus around the center liquid channel <ref type="bibr">[8,</ref><ref type="bibr">24]</ref>. The geometric conditions are: (i) center liquid channel inner diameter, D is equal to the exit orifice diameter; (ii) the gap between the liquid flow tube exit and atomizer exit (H) will be equal to or less than 0.25 times of the center liquid channel diameter <ref type="bibr">[8,</ref><ref type="bibr">24]</ref>. While leaving the gap H, AA flows in the radial direction <ref type="bibr">[8]</ref>. When the geometric conditions are achieved <ref type="bibr">[12,</ref><ref type="bibr">24,</ref><ref type="bibr">36]</ref>, a stagnation point develops between the center liquid fuel tube tip and the injector exit, and a small part of the AA penetrates a very short distance of the liquid fuel flow channel, which creates turbulence and forms bubbles slightly downstream of the liquid fuel flow exit channel, resulting in significantly turbulent two-phase flow passing through the injector exit <ref type="bibr">[8,</ref><ref type="bibr">24]</ref>. The air bubbles leaving the atomizer exit in the flow direction burst and break into fine droplets due to a significant pressure drop <ref type="bibr">[8,</ref><ref type="bibr">17]</ref>. The remaining major portion of AA flows through the injector exit with a very high momentum which helps the secondary atomization by shear layer instabilities at the interface of the liquid parts and fast-moving air <ref type="bibr">[8,</ref><ref type="bibr">36]</ref>. This process was first introduced in the FB atomization concept. In the SB injector, it innovatively integrates the advantage of the FB injection and the swirling flow to further enhance the secondary atomization. Like the FB injector, a stagnation point is developed at the same location. From the stagnation point, a small amount of air penetrates the liquid channel, and the remaining larger quantity of air moves toward the injector exit with a swirling motion through the swirl grooves and helps with the secondary atomization through shearing between the surface of droplets and swirling air <ref type="bibr">[8,</ref><ref type="bibr">17,</ref><ref type="bibr">36]</ref>. The swirling flow is characterized by the injector swirl number (SN), which is a non-dimensional number determined by Equation ( <ref type="formula">1</ref>) <ref type="bibr">[8,</ref><ref type="bibr">53,</ref><ref type="bibr">54]</ref>.</p><p>where swirler hub diameter is denoted by &#119889; &#8462; , tip diameter is denoted by &#119889; &#119905; , &#120572; represents the exit vane angle of the swirler. The vane angle &#120572; is the angle between the axial plane of the curved vane and tangent to the exit of the curved vane.  </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.2.">Experimental Setup of the Model Dual-Fuel Gas Turbine Combustor</head><p>The objectives of the current study are to investigate (1) the effect of methane amount (0 to 3 kW by HRR) on the combustion performance of the dual-fuel (gaseous and liquid fuel) flame when methane is introduced through the combustor swirler and G/M of 60/40 (by HRR) is used as the liquid fuel blend and atomized by an SB injector at a constant ALR of 3.0; and (2) the effect of ALR on the dual-fuel G/M of 60/40-methane combustion by using the SB injector at a constant 1 kW of methane <ref type="bibr">[8]</ref>. All the experiments are conducted at the constant equivalence ratio of 0.75 and the total HRR of 7.0 kW <ref type="bibr">[8]</ref>. Global flame characteristics are investigated by analyzing the visual flame images, carbon monoxide (CO), and nitrogen oxide (NOx) concentrations in the combustion gas products at the combustor exit <ref type="bibr">[8]</ref>. The combustion gas product temperature and the combustor outer wall temperature are measured to evaluate the combustion completeness <ref type="bibr">[8]</ref>.</p><p>For our current investigation, a lab-scale 7-kW swirl-stabilized gas turbine combustor was used as per Figure <ref type="figure">2a</ref>,b <ref type="bibr">[8]</ref>. To ensure dry, clean air supply to the combustor, the compressed air goes through water traps and filters, and then is divided into PA and AA <ref type="bibr">[8]</ref>. The Mass Flow Controller (MFC) from Alicat MC-series controls the PA and AA supply with an uncertainty of 0.8% of the reading and &#177;0.2% of the full range <ref type="bibr">[8]</ref>. The MFC model number for PA is MCP-250SLPM-D with a range of 0-250 SLPM, and for AA, the model number is MCP-100SLPM-D with a range of 0-100 SLPM <ref type="bibr">[8]</ref>. The AA is introduced through a check valve, located at the downstream of the MFC to prevent the backflow. Before starting the experiment, methane gas is used to preheat the combustor <ref type="bibr">[8]</ref>. Methane flows from the source tank and is introduced through a valve <ref type="bibr">[8]</ref>. Flow was controlled by MFC of model no. MCP-50SLPM-D with a range of 0-50 SLPM <ref type="bibr">[8]</ref>. Methane is mixed with PA in the mixing chamber. A ball valve is used to flow methane to the mixing chamber, while a second ball valve remains closed to prevent methane flow to the atomizer. Finally, the mixture of PA and methane passes through a 45&#176; straight vane swirler with SN of 0.77 to the quartz combustor. It is to be mentioned that throughout the experiment, methane is premixed with the PA in the mixing chamber shown in Figure <ref type="figure">2a</ref> and then introduced to the quartz combustor through a combustor swirler. The cylindrical quartz tube of the combustor has a length of 45 cm and a diameter of 7.62 cm <ref type="bibr">[8]</ref>. Glycerol and methanol are stirred by using a magnetic stirrer with a speed of up to 3000 rpm for the mixing. The mixed fuel is introduced to the atomizer via a peristaltic pump: Cole-Parmer Masterflex L/S (EW-77921-75), Masterflex LLC, Barrington, Illinois, USA, with a range of 0-88 mLPM and an uncertainty of &#177;0.1% of the range, is used <ref type="bibr">[8]</ref>. A pulsation damper is used between the fuel pump and the SB injector <ref type="bibr">[8]</ref>. The research objectives of the current study are twofold: (1) it investigates the effect of premixed methane amount (0 to 3 kW by HRR) on the combustion performance of G/M of 60/40-methane dual-fuel combustion, and (2) it explores the impact of ALRs on the G/M of 60/40-methane dual-fuel combustion with 1 kW methane by using SB injector <ref type="bibr">[8]</ref>. A comparison of the physical and chemical properties of pure glycerol, methanol, and G/M of 60/40 blend with diesel is provided in Table 2 <ref type="bibr">[8]</ref>. Table <ref type="table">3</ref> exhibits the experimental conditions for different amounts of premixed methane in the G/M of 60/40-methane dualfuel combustion with a constant ALR of 3.0 and equivalence ratio of 0.75 <ref type="bibr">[8]</ref>. Constant HRR of 7 kW and an equivalence ratio of 0.75 are maintained throughout the process for the tested cases <ref type="bibr">[8]</ref>. For the effect of ALR through the liquid fuel injector on the dual fuel combustion, the AA flow rate is varied to achieve ALRs of 2.0, 2.5, and 3.0 while keeping an HRR of 7 kW and an equivalence ratio of 0.75 as constant. To analyze global combustion characteristics, CO and nitrogen oxides (NOx) concentrations in the combustion gas products are measured by an ENERAC (700 series) emission gas analyzer. For NOx detection, the range is 0-150 ppm and 0-1500 ppm (dual mode) with a resolution of 0.1 ppm and an uncertainty of &lt;&#177;1% of the reading. CO is measured by a four-electrode electrochemical sensor with a range of 0-150 ppm and 0-2000 ppm (dual mode), the resolution of 0.1 ppm, and the uncertainty of &#177;1-2% of the reading <ref type="bibr">[8]</ref>. The flame images are meticulously captured by using a Canon EOS M50 Mark II, Canon U.S.A. Inc., Huntington, NY, USA, with an aperture setting f/4.5, light sensitivity settings of International Organization for Standardization (ISO)-6400 (ISO)-6400 <ref type="bibr">[60]</ref>, an exposure time of 1/125 s, and a focal length of 17 mm <ref type="bibr">[8]</ref>. A R-type thermocouple with a range of -50-1480 &#176;C and uncertainty of &#177;1.5 &#176;C or &#177;0.25% of the reading is used to measure the combustion products gas temperature at 2.54 cm upstream of the combustor exit in the radial direction of the quartz combustor tube <ref type="bibr">[8]</ref>. To measure the surface temperature of the quartz combustor tube, a LS-84D thermometer with a J-type thermocouple (Omega HPS-HT-J-12-SMP-M) with a range of 0-760 &#176;C and uncertainty of (&#177;0.5% of reading + 0.7 &#176;C) is used <ref type="bibr">[8]</ref>. The temperature of the combustion products gas is measured at the combustor exit (2.54 cm upstream the opening) at nine equidistant radial locations. Combustor wall temperature is measured at nine equidistant axial locations. Both temperatures are continuously monitored. At each measured location, the temperature stabilizes after several minutes within a fluctuating range with ~6-8 K variation from the lowest to the peak value. To minimize thermocouple error, the average of the upper and lower bounds of the fluctuating temperature data is recorded.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.">Results and Discussion</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.">The Effect of Methane Amount in the Dual-Fuel Combustion</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.1.">Global Flame Characteristics for Various Methane Amount in the Dual-Fuel Combustion</head><p>The Effect of Methane Amount on Visual Flame Images In this study, the effect of methane amount on global combustion characteristics of the dual-fuel flames is analyzed in terms of visual flame image, thermal characteristics and CO, and NOx concentrations of the combustion gas products. Properties of 60/40 G/M are illustrated in Table 2 <ref type="bibr">[8]</ref>. The kinematic viscosity of 60/40 G/M is ~2&#215; that of diesel fuel, making it difficult to be finely atomized using a conventional AB injector due to the AB injector's sensitivity to small change in fuel properties <ref type="bibr">[8]</ref>. Instead, the current work employs the SB injection that has demonstrated high viscosity tolerance as aforementioned <ref type="bibr">[8]</ref>. Figure <ref type="figure">3</ref> shows the flame images of 60/40 G/M and 60/40 G/M methane dual-fuel with the varying methane amount of 0.2 kW to 3.0 kW, where total HRR is maintained at 7 kW with ALR of 3.0 and equivalence ratio of 0.75 <ref type="bibr">[8]</ref>. Each visual flame image is captured at an exposure time of 0.008 s, which significantly exceeds the chemical time scales of elementary reactions, e.g., at the order of magnitude of ~10 -4 s for OH* <ref type="bibr">[61]</ref>. Hence, each flame image is an ensemble flame image of a time averaging process of fast-changing chemical kinetics and varying flame stages within the exposure time. The ensemble flame images thus illustrate average flame lift-off height and flame length. The image brightness is increased by 50% to analyze the flame qualitatively <ref type="bibr">[8]</ref>. Blue chemiluminescence of the flames reflects complete combustion of CH* <ref type="bibr">[35,</ref><ref type="bibr">61]</ref>. Therefore, in all cases, the predominant blue flames suggest that the complete and clean combustion is achieved for the high-viscosity pure-liquid 60/40 G/M fuel blend and the dual-fuel combustion of G/M of 60/40 and methane by using a powerful SB injector even without fuel or air pre-heating and with an uninsulated combustor <ref type="bibr">[8]</ref>. It is to be noted that the red color on the quartz combustor is the result of the reflection of the flame zone on the quartz combustor wall. Fuel pre-vaporization and fuel-air mixing likely occurs in the dark region upstream of the flame which signifies mainly lean-premixed combustion attained by the ultra-fine SB atomization <ref type="bibr">[8]</ref>. The highly illuminated portion at the middle of the flame illustrates the high-temperature primary reaction zone <ref type="bibr">[8]</ref>. It is observed that the lift-off height of the pure-liquid G/M of 60/40 fuel is ~10 cm, for G/M of 60/40 methane dual-fuel at 0.2 kW methane is ~8 cm, which decreases gradually with the increase in the amount of the methane and becomes ~5 cm for the flame with 3 kW premixed methane <ref type="bibr">[8]</ref>. Flame length also becomes shorter with the increment of methane amount with more radially distributed flame: pure-liquid G/M of 60/40 fuel flame length is ~12 cm (y = ~10-22 cm); for G/M of 60/40-methane dual-fuel at 0.2 kW methane, flame length is ~11 cm (y = ~8-19 cm); and at 3 kW, methane length is ~8 cm (y = ~5-13 cm) <ref type="bibr">[8]</ref>. The possible reasons mainly contributing to these trends are: (1) the addition of highly reactive methane enhances the reaction rates resulting in less lift-off height with a shorter flame length; (2) thus the local flame temperature is also increased in return, vaporizing the liquid droplets faster by quickly providing more thermal feedback that expedites complete pre-vaporization of droplets; (3) the rapidly vaporized liquid fuel mixes with oxidizer quickly and more homogeneously, thus leading to rapid reactions with a higher flame temperature in return; and (4) to keep the HRR constant, with the increase in methane, liquid fuel flow rate, and AA flow rate decrease for the constant ALR of 3.0 <ref type="bibr">[8]</ref>. Hence, the injection velocity decreases, causing less lift-off height <ref type="bibr">[62,</ref><ref type="bibr">63]</ref>. Thus, the flame is stabilized closer to the combustor swirl with more residence time for complete combustion <ref type="bibr">[8]</ref>. Note that high-fidelity measurements of the flow-turbulence-chemistry interaction in the combustion field are needed to further validate these possible reasons, which is beyond the scope of the current global flame characterization. The flames are not radially symmetric, possibly due to the turbulent nature of the flame and/or imperfections in the manufacturing of the combustion swirler vanes, leading to uneven primary air flow. , (e) 0.8, (f) 1.0, (g) 1.5, (h) 2.0, (i) 2.5, and (j) 3.0 kW at a constant ER of 0.75, ALR of 3 and total HRR of 7 kW using the SB injector <ref type="bibr">[8]</ref>.</p><p>Figure <ref type="figure">4</ref> exhibits the quartz glass outer wall uncorrected surface temperature <ref type="bibr">[8]</ref>. From Figure <ref type="figure">3</ref>, it is observed that the most illuminating zone, representing the primary reaction zone is at the middle of the flame which is consistently substantiated by the quartz glass outer wall temperature profile <ref type="bibr">[8]</ref>. Temperature increases from the dump plane up to the middle of the quartz combustor and then decreases in the downstream direction of the combustor <ref type="bibr">[8]</ref>. It is also observed that the location of the highest wall temperature shifts in the downstream direction with the decrease of methane amount in the combustor supporting the increased lift-off height and shorter flame length with the decrease in methane amount, as per Figure <ref type="figure">3 [8]</ref>. The Effect of Methane Amount on Emissions in Combustion Gas Products Figure <ref type="figure">5a</ref> presents the radial temperature profile (uncorrected) of the combustion gas products at the combustor exit <ref type="bibr">[8]</ref>. For all cases, temperature profiles follow a similar trend with lower temperature in the near wall zone compared to the middle of the combustor due to the convection and radiation heat loss of the uninsulated combustor wall to the surrounding <ref type="bibr">[8]</ref>. The temperature profiles are not perfectly symmetric on both sides of the combustor, possibly due to the unevenly distributed primary air through the imperfectly manufactured combustion swirl and/or the turbulent nature of the flame. Temperature increases slightly with the increase in premixed methane mainly due to the high reactivity and flame speed of the methane <ref type="bibr">[8]</ref>. This trend can also be substantiated by the estimated adiabatic flame temperature in Figure <ref type="figure">6</ref>, which is 1887.7 K without methane, whereas with 3.0 kW methane, it increases up to 1909.6 K <ref type="bibr">[8]</ref>. Though the difference in estimated adiabatic flame temperature from the case without methane to the dual-fuel flame with 3 kW methane is 21.9 K, the difference in gas product temperature at the combustor exit is higher than 21.9 K. This can be likely attributed to (1) the different volumes and length of the flame without methane and those with varying amounts of methane, as in Figure <ref type="figure">3</ref>, at the constant total HRR of 7 kW, resulting in various local flame temperature, gas product temperature, and combustor wall temperature; (2) various amounts of heat loss from the uninsulated combustor to the surroundings through convective and radiative heat transfer. Figure <ref type="figure">5b</ref> shows the CO emissions are &#8804;2 ppm irrespective of the methane amount in the combustor for all the tested cases <ref type="bibr">[8]</ref>. Figure <ref type="figure">5c</ref> illustrates NOx concentration in the combustion products. Estimated adiabatic flame temperature from without methane to 3 kW methane in the dual-fuel combustion of glycerol/methanolmethane is 1887.7 K to 1909.6 K. Additionally, the uninsulated combustor wall temperature ranges approximately between 750 K to 900 K for all the cases in the reaction zone, where the flame temperature and the combustor wall temperature peak shown in Figure <ref type="figure">4</ref>. Hence, there is considerable heat loss through the quartz combustor wall to the ambient air by radiation and convection. As a result, the flame temperature is significantly lower than 1800 K, above which thermal NOx forms <ref type="bibr">[61]</ref>. Note that there might be minimal thermal NOx, less than the resolution (0.1 ppm) of the NOx measurement capacity of the emission gas analyzer. Therefore, the thermal NOx is ~0 in the current study without fuel nitrogen. Thus, the near-zero concentrations of CO and NOx suggest nearly complete and thus clean combustion achieved for the highly viscous G/M blends with/without methane. This can be again explained by the fact that the SB injector generates very fine droplets, leading to fast pre-evaporation and thus subsequently mainly lean-premixed and complete combustion <ref type="bibr">[8,</ref><ref type="bibr">40]</ref>. CO2 concentration in the gas products at the combustor exit is illustrated in Figure <ref type="figure">5d</ref>. From pure-liquid G/M of 60/40 fuel to G/M of 60/40 methane dual-fuel combustion, the radial profiles of CO2 emissions almost overlap. CO2 increases with an increase in premixed methane up to 2 kW, then reduces slightly at higher methane flows. This is likely due to the increment of highly reactive methane; more O2 participates in the reaction, generating more CO2 in the exhaust gas, with an increment in combustion completeness. Note that the CO2 profiles qualitatively represent the trend and may not the exact values as the sensor of the emission analyzer detects and measures CO, NOx, and O2 but calculates CO2 using the O2 values and the internal algorithm based on preset fuels that are not the current fuel blend.  </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.2.">Combustion Completeness Estimation for the Varying Methane Amount</head><p>The temperature of the combustion gas products is measured by an R-type thermocouple, which is prone to error due to significant heat loss by the bead to the surrounding through radiation mostly <ref type="bibr">[8,</ref><ref type="bibr">64]</ref>. To minimize the error of the thermocouple, corrected gas temperature is estimated by using Equation ( <ref type="formula">2</ref>) <ref type="bibr">[8,</ref><ref type="bibr">64]</ref>.</p><p>where &#119879; &#119892; is true gas temperature; &#119879; &#119905; is thermocouple reading; &#119879; &#119904; is ambient temperature, which is 22.2 &#176;C, &#120576; &#119887; is the emissivity of the thermocouple bead, which is a function of combustion gas product temperature and thermocouple bead materials. It is estimated based on the correlation of R-type thermocouple and combustion gas products temperature, as per the referenced studies <ref type="bibr">[65]</ref><ref type="bibr">[66]</ref><ref type="bibr">[67]</ref>; estimated values of the thermocouple bead emissivity are 0.136, 0.139, 0.138, 0.138, 0.138, 0.139, 0.141, 0.141, 0.142, and 0.142 without methane and 0.2 kW, 0.4 kW, 0.6 kW, 0.8 kW, 1.0 kW, 1.5 kW, 2.0 kW, 2.5 kW, and 3.0 kW with methane, respectively <ref type="bibr">[65]</ref><ref type="bibr">[66]</ref><ref type="bibr">[67]</ref>. &#120590; is the Stefan-Boltzmann constant, and forced convective heat transfer coefficient &#8462; &#119905; of the combustion gas product flow is approximated using air properties <ref type="bibr">[64]</ref>. The estimated values of &#8462; &#119905; are 29.249 W/m 2 K, 29.828 W/m 2 K, 29.6989 W/m 2 K, 29.456 W/m 2 K, 29.329 W/m 2 K, 29.314 W/m 2 K, 29.420 W/m 2 K, 29.348 W/m 2 K, 29.265 W/m 2 K, and 29.076 W/m 2 K without methane and 0.2 kW, 0.4 kW, 0.6 kW, 0.8 kW, 1.0 kW, 1.5 kW, 2.0 kW, 2.5 kW, and 3.0 kW with methane, respectively <ref type="bibr">[64]</ref>. Total energy released by the combustion is equal to the energy carried away by the combustion gas and heat loss to the surroundings by the combustor wall, as per Equations (3)-( <ref type="formula">5</ref>) <ref type="bibr">[8,</ref><ref type="bibr">17]</ref>.</p><p>where, &#119876; &#119905;&#119900;&#119905;&#119886;&#119897; is the total energy released from the combustion process; &#119876; &#119892;&#119886;&#119904; is the energy carried away by the combustion gases; &#119876; &#119897;&#119900;&#119904;&#119904;&#119890;&#119904; are the energy losses by convection and radiation heat transfer from the combustion gases through the combustor outer wall to the surroundings; &#119898; &#119892; is the mass flow rate of the combustion gases which is equal to the total mass of fuel and gas; &#119862; &#119875; &#119886;&#119894;&#119903; is the isobaric specific heat capacity of the combustion gases at the combustion gas temperature, &#119879; &#119892; ; air properties are used for the combustion products in this simple estimate. The estimated values of &#119862; &#119875; &#119886;&#119894;&#119903; are 1.255 kJ/kgK, 1.262 kJ/kgK, 1.261 kJ/kgK, 1.260 kJ/kgK, 1.259 kJ/kgK, 1.259 kJ/kgK, 1.265 kJ/kgK, 1.265 kJ/kgK, 1.265 kJ/kgK, and 1.263 kJ/kgK without methane and 0.2 kW, 0.4 kW, 0.6 kW, 0.8 kW, 1.0 kW, 1.5 kW, 2.0 kW, 2.5 kW, and 3.0 kW with methane, respectively <ref type="bibr">[64]</ref>; &#119879; &#119908; is the combustor outer wall surface temperature of corresponding surface area &#119860; &#119904; ; &#120590; is the Stefan-Boltzmann's constant; &#119879; &#119904;&#119906;&#119903;&#119903; is the surrounding or ambient temperature, which is 22.2 &#176;C, the ambient temperature of the laboratory environment where experiment is conducted; &#120576; &#119892;&#119897;&#119886;&#119904;&#119904; is the emissivity of quartz glass that is a function of combustor wall temperature &#119879; &#119908; and quartz glass average thickness of 2.136 mm <ref type="bibr">[68]</ref>; for the wall temperature in 9 axial locations as illustrated in Figure <ref type="figure">4</ref>, for each case from 0 kW methane to 3 kW methane, 9 estimated emissivity data points are obtained by using Ref. <ref type="bibr">[68]</ref>; &#8462; &#119886; is the natural convective heat transfer coefficient of the surrounding air for the heat loss from the combustor wall to the ambient air <ref type="bibr">[69]</ref> and is a function of temperature; again, for the wall temperature in 9 axial locations as illustrated in Figure <ref type="figure">4</ref>, for each case from without methane to 3 kW methane, 9 estimated the natural convective heat transfer coefficient data points are obtained by using Ref. <ref type="bibr">[69]</ref>.</p><p>Irrespective of the methane amount in the dual-fuel combustion, this simple estimation indicates a combustion completeness of ~100% compared to the lower efficiency of pure-liquid fuel combustion of G/M 60/40 <ref type="bibr">[14]</ref>. It is to be mentioned that air properties were used for the combustion products in this simple estimate. Due to the above assumptions made, this estimation serves as a qualitative indicator rather than an absolute measure. In addition, the asymmetry of the flame in the radial direction might affect the combustor product gas temperature at the combustor exit and the combustor wall temperature measurement, thus the estimation of combustion completeness. The actual degree of combustion completeness may vary slightly. Regardless of this simple estimate, the measured combustion exhaust temperature and concentration, as well as the blue flame chemiluminescence for complete combustion of CH* <ref type="bibr">[36,</ref><ref type="bibr">61]</ref>, combinedly suggest the ~100% complete combustion achieved in the current study. In addition, our previous study showed that owing to the fine atomization capability of FB injector, sharing the same primary atomization by bubble bursting with the SB injection, highly viscous pure glycerol (~250 times more viscous than diesel) was atomized finely <ref type="bibr">[30]</ref> and a relatively low CO (&lt;40 ppm) was achieved in an insulated lab scale 7-kW combustor while co-combusting 68% or 45% of pure glycerol by HRR with the remaining HRR from methane at the ALR of 2.23 <ref type="bibr">[7]</ref>. With further advanced atomization capability of the SB injector, clean, lean premixed (LPM), and near-complete combustion was achieved for straight algae oil and vegetable oil which are more viscous than 60/40 G/M blend <ref type="bibr">[17,</ref><ref type="bibr">36]</ref>. In our present study, it is observed that ~100% combustion completeness is achieved by introducing premixed methane through the combustor swirler. This is due to the high reactivity and adiabatic flame temperature of methane <ref type="bibr">[61]</ref> that helps to fully vaporize the droplets in addition to the fine atomization capability of the powerful SB injector.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2.">The Effect of ALR</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2.1.">Global Flame Characteristics for Various ALRs of G/M of 60/40 Methane Dual-Fuel Combustion</head><p>The Effect of ALR on Visual Flame Images Prior studies showed that an increase in ALR leads to finer atomization with very low CO emissions, &#8804;4 ppm, for ALR values of 3.0 for 50/50 G/M ratio fuel combustion <ref type="bibr">[8,</ref><ref type="bibr">14]</ref>. In this study, the effect of ALR is observed for high-viscosity G/M of 60/40 blend with methane (1 kW) dual-fuel combustion by using a novel SB injector at a constant total HRR of 7 kW and an equivalence ratio of 0.75 <ref type="bibr">[8]</ref>. For all the ALRs, the main blue flame indicates clean combustion <ref type="bibr">[35]</ref> of high-viscosity 60/40 G/M blend <ref type="bibr">[8]</ref>. In the dark region upstream of the flame, pre-vaporization and fuel-air mixing occurs, which indicates the achievement of lean premixed combustion <ref type="bibr">[8]</ref>. Thus, the SB injector finely atomizes highviscosity fuel without pre-heating <ref type="bibr">[8]</ref>. It is observed that an increase in ALR results in a shorter flame length <ref type="bibr">[8]</ref> and a slightly shorter flame lift-off height. Figure <ref type="figure">7</ref> shows that for ALR of 2.0, flame length is ~16 cm (y = ~7-23 cm), at ALR of 2.5, it becomes ~15 cm (y = ~5-20 cm), and for ALR of 3.0 it becomes 11 cm (y = ~5-16 cm) <ref type="bibr">[8]</ref>. The probable main reasons behind this trend are: (1) for the low ALRs, droplets are slightly bigger than those at a higher ALR and may travel further downstream along the combustor due to a higher momentum, leading to a longer flame length; (2) at the higher ALR, droplets become smaller, evaporate faster, and combust with a shorter residence time resulting in a less lifted and more compact flame <ref type="bibr">[8]</ref>. Figure <ref type="figure">8</ref> depicts the uninsulated quartz combustor wall temperature (uncorrected) <ref type="bibr">[8]</ref>. Quartz combustor outer wall temperature increases to the peaks and then decreases along the axial direction. Note that the flames are radially asymmetric as per Figure <ref type="figure">7</ref>, which may result in an increased uncertainty of the combustor outer wall temperature.  </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>The Effect of ALR on Emissions in Combustion Gas Products</head><p>Figure <ref type="figure">9a</ref> shows that a slight decrease in ALR results in higher temperature compared to higher ALRs <ref type="bibr">[8]</ref>. This might be due to (1) some of the slightly larger droplets at ALR of 2.0 burn at diffusion combustion mode without complete vaporization, resulting in slightly higher local temperature and thus higher local CO and NOx concentrations, as in Figure <ref type="figure">9b</ref>,c compared to ALR of 2.5 and 3.0; (2) for the lower ALR of 2.0, the lower AA at the constant liquid flow rate compared to that of ALRs of 2.5 and 3.0 results in a lower injection velocity, i.e., the droplet velocity <ref type="bibr">[8]</ref>. This allows a longer residence time of the droplets in the combustor, though they might be relatively larger <ref type="bibr">[8]</ref>. Thus, the fuel may burn more completely with higher heat released, leading to higher combustion product temperatures <ref type="bibr">[8]</ref>. For all the ALRs the CO concentrations are less than 3 ppm and NOx &lt; 2 ppm which are illustrated in Figure <ref type="figure">9b</ref> and Figure <ref type="figure">9c</ref> respectively. The ultra-low CO and NOx emissions are achieved for a high-viscosity 60/40 G/M blend by using the novel SB injector, indicating near complete combustion <ref type="bibr">[8]</ref>. Additionally, CO emission is uniform throughout the radial direction of the combustor exit again suggesting the generation of very fine and/or uniform droplet size by the SB injector <ref type="bibr">[8]</ref>. For the ALR of 2.0, the combustion gas product temperature is slightly higher compared to the ALRs of 2.5 and 3.0, which possibly led to a slight increase in NOx at ALR of 2.0. From Figure <ref type="figure">10a</ref>, it is evident that carbon dioxide concentration is higher for an ALR of 2.0 compared to ALRs of 2.5-3.0. This trend signifies more complete combustion at an ALR of 2.0. This may be because at the lower ALR, the injection velocity is lower, which leads to more residence time for the fuel to combust completely. Figure <ref type="figure">10b</ref> represents oxygen concentrations in the gas products at the combustor exit. Oxygen composition is lower for an ALR of 2.0 compared to other ALRs, showing an adverse trend compared to the CO2 profiles as expected. More oxygen consumption generates more complete combustion with increased CO2 in the product, with less remaining oxygen in the combustion gas products. </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2.2.">Combustion Completeness Estimation for the Varying ALRs</head><p>The total generated heat is estimated by adding the heat loss to the surroundings through an uninsulated quartz combustor by radiation and convection with the energy carried away by the combustion gas products <ref type="bibr">[8,</ref><ref type="bibr">17,</ref><ref type="bibr">70]</ref>. Thermocouple error is minimized by considering thermocouple bead heat loss to the surroundings through radiation as per Equation ( <ref type="formula">2</ref>) <ref type="bibr">[8,</ref><ref type="bibr">17]</ref>. Total energy produced is estimated by using Equations ( <ref type="formula">3</ref>)-( <ref type="formula">5</ref>) <ref type="bibr">[8,</ref><ref type="bibr">17]</ref>. The specific heat capacity of the combustion gases &#119862; &#119875; &#119886;&#119894;&#119903; is estimated at the true gas temperature, &#119879; &#119892; <ref type="bibr">[8]</ref>. For the ALRs of 2.0, 2.5 and 3.0, the simple combustion completeness estimation results in ~100%. Again, this estimation provides qualitative information due to the assumptions made. However, again in combination of the simple estimation and the very low CO and NOx emissions as per Figure <ref type="figure">9b</ref>,<ref type="figure">c</ref>, it can be concluded that due to a very fine atomization capability of the SB injector, at ALRs of 2.5 to 3.0, more complete combustion is achieved.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.">Conclusions</head><p>In the present study, glycerol/methanol (G/M) blends, representing waste crude glycerol from biodiesel production, are co-combusted with methane to achieve clean and complete combustion, compared to the baseline case of pure-liquid G/M combustion. This simultaneously allows us to explore renewable energy and minimize the burden of waste management. The novel SB injector is utilized to finely atomize the highly viscous G/M 60/40 blend for clean combustion without fuel preheating. Methane is added due to its high reactivity and high energy density to facilitate thermal feedback to vaporize the fine droplets quickly and combust cleanly <ref type="bibr">[8]</ref>, further overcoming the high evaporation and auto-ignition temperature of the glycerol component. In this study, the SB injector achieved ultra-clean combustion with CO concentration &#8804; 2 ppm and ~0 ppm NOx concentration without preheating the viscous G/M and the dual-fuel burner, irrespective of methane amount from 0-3.0 kW at the total HRR of 7.0 kW. The visual flame images indicate that the increase in premixed methane via the combustion swirler results in shortened flame lift-off height and flame length with increased gas product temperature. Less lifted and more compact flames are obtained with the increase in ALR from 2.0 to 3.0. Near-zero CO and NOx concentrations are obtained for the ALRs of 2.0, 2.5, and 3.0 with a small amount of methane (1 kW), indicating the fine atomization capability of the SB injector. In addition, the simple estimate of combustion completeness, CO and NOx concentrations, and the blue flames combinedly suggest that with 1 kW of methane, at the ALRs of 2.5 and 3.0, almost-complete combustion is achieved for the main flame of glycerol/methanol blend 60/40. Hence, the optimum ALR is 2.5 for the current experimental setup and conditions since an ALR of 2.5 has lower atomizing air flow compared to that at an ALR of 3.0. This requires less energy input for complete combustion. In summary, the dual-fuel combustor with the novel SB injector achieved lean-premixed, complete or near complete combustion of a highly viscous glycerol/methanol blend of 60/40 with/without methane and without fuel or air preheating in an uninsulated combustor. Thus, the novel SB injector coupled with/without co-combustion of a small amount of premixed methane potentially enables direct use of the crude glycerol for ultra-clean energy generation from the biofuel production waste, eliminating the expenditure of post-processing of waste crude glycerol <ref type="bibr">[8]</ref>. The primary advantages and limitations of the current study are summarized in Table <ref type="table">4</ref>.</p><p>Table 4. Advantages and limitations of the current study.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Advantages</head><p>Limitations Without air nor fuel pre-heating, achieving lean-premixed combustion with near zero NOx and CO emissions of the dual-fuel G/M 60/40methane with the methane amount of 0-3.0 kW.</p><p>Approximation of the properties of combustion products as air properties, that leads to the qualitative estimate of the combustion completeness.</p><p>Determining the optimum methane amount to enhance the efficiency of the dual-fuel combustion of G/M 60/40-methane blends.</p><p>Use of unburned hydrocarbon measurement device can provide more accurate results of combustion completeness. Achieving complete combustion of G/M 60/40methane blends with a small amount of methane at 1 kW by using the novel SB injector at an ALR of 2.5, enabling use of waste crude glycerol as a biofuel.</p><p>Current simple flame color imaging could not provide more insight into the flame characteristics compared to other advanced optical diagnostics.</p><p>Future work will further investigate the reacting spray physics including the droplet size and velocity distribution and correlate with the downstream combustion characteristics to elucidate the fundamental physicochemical characteristics of the spray combustion using the SB injection.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Nomenclature</head><p>AA atomizing air or gas AB air blast ALR air or gas to liquid mass ratio AO algae oil CH4 methane CO carbon monoxide D diameter of the center liquid fuel channel and the injector exit FB flow blurring G/M glycerol/methanol LPM lean premixed combustion H gap between the center liquid fuel channel tip and injector exit HRR heat release rate MFC mass flow controller MLPM milliliter per minute NG natural gas NOx nitrogen oxides (including NO and NO2) PA primary air SB swirl burst SLPM standard liter per minute SMD Sauter mean diameter SN swirl number VO vegetable oil &#119889; &#8462; hub diameter &#119889; &#119905; tip diameter &#120572; exit vane angle Nomenclature AA = atomizing air or gas AB = air blast ALR = air or gas to liquid mass ratio AO = algae oil CH4 = methane CO = carbon monoxide D = center liquid fuel channel diameter FB = flow blurring G/M = glycerol/methanol LPM = lean pre-mixed combustion LFG = Landfill Gas H = gap between the center liquid fuel channel tip and injector exit HRR = heat release rate MFC = Mass Flow Controller MLPM = milliliter per minute NG = natural gas NOx = nitrogen oxide (included NO and NO2) PA = primary air or gas SAA = swirling atomizing air SB = swirl burst SLPM = standard liter per minute SMD = Sauter mean diameter SN = swirl number VO = vegetable oil &#119889; &#8462; = hub diameter &#119889; &#119905; = tip diameter &#120572; = exit vane angle</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>I. Introduction</head><p>Alternative and sustainable energy sources, particularly biodiesel, are becoming more and more vital as fossil fuel reserves continue to be depleted. Transesterification, which uses oils and fats sourced from plants or animals, is the primary process to produce biodiesel <ref type="bibr">[1]</ref>. Biodiesel, an attractive sustainable drop-in fuel, can replace diesel in current combustion systems due to its similarities to conventional diesel <ref type="bibr">[2,</ref><ref type="bibr">3]</ref>. The production of biodiesel in the European Union (EU) increased significantly from 6.129 million tons in 2007 to 14.11 million tons in 2018 <ref type="bibr">[4,</ref><ref type="bibr">5]</ref>. Crude glycerol, which makes up around 10% of the entire weight of biodiesel, is often treated as waste byproduct of biodiesel production, due to the high cost of purification <ref type="bibr">[6]</ref>. Glycerol is a viable biofuel option due to its significant oxygen content and moderate heat release, even though it has a low calorific value, high viscosity, and high surface tension <ref type="bibr">[7]</ref>. Crude glycerol also contains methanol <ref type="bibr">[8]</ref><ref type="bibr">[9]</ref><ref type="bibr">[10]</ref>, which has high octane value, low emission profile, and can be sourced from biomass <ref type="bibr">[11]</ref>. Methanol lowers glycerol's viscosity but not sufficiently for conventional AB injector that has low viscosity tolerance <ref type="bibr">[7]</ref>. Efficient combustion of glycerol-methanol blends (G/M) may reduce purification costs and improve fuel utilization. However, with a nearly neutral balance of CO2 emissions, biogas is the most affordable renewable energy source. Landfill gas (LFG), a form of biogas that may find application in industrial furnaces, gas turbines, and internal combustion engines <ref type="bibr">[12]</ref>. LFG produced from the anaerobic decomposition of municipal solid waste, primarily consists of about 50-55% methane (CH4), 40-45% carbon dioxide (CO2) along with other trace gases <ref type="bibr">[13]</ref>. Because of its potential for pollution, flammability, and greenhouse gas emissions, LFG poses significant environmental risks <ref type="bibr">[12]</ref><ref type="bibr">[13]</ref><ref type="bibr">[14]</ref>. Traditionally, landfill gas is managed by flaring, effectively wasting its substantial energy potential <ref type="bibr">[13]</ref>. Although LFG can provide both environmental and economic benefits while used in engines and gas turbines, its high CO2 content challenges flame stability and combustion <ref type="bibr">[14]</ref>. Combining LFG with G/M blends could support sustainable and cleaner energy applications.</p><p>Nowadays, there is a global push to prevent global warming by enforcing stringent emissions regulations. Efficient and clean combustion requires thorough fuel air mixing. As to liquid fuels, effective atomization and generation of fine sprays are required to enable quick fuel evaporation and thus homogenous fuel and air mixing, achieving clean and efficient combustion. Rapid evaporation and uniform fuel-air mixing are achieved by fine sprays, which greatly lower emissions of pollutants such soot, carbon monoxide (CO), and nitrogen oxides (NOx) <ref type="bibr">[7,</ref><ref type="bibr">15]</ref>. Commonly seen in combustion systems, air-blast (AB) atomizers inject fuel at relatively low velocities and atomizing air at high velocities, first creating a liquid core at the injector exit that later break into ligaments and droplets due to aerodynamic shear layer instabilities <ref type="bibr">[16]</ref><ref type="bibr">[17]</ref><ref type="bibr">[18]</ref>. However, high-viscosity fuels like glycerol with significantly suppressed shear layer instabilities while interacting with surrounding air due to its high viscosity and surface tension, resulting in incomplete atomization, requiring preheating to decrease viscosity, yet burn incompletely with high pollutant emissions, leading to inefficiencies in operation and combustion <ref type="bibr">[19]</ref><ref type="bibr">[20]</ref><ref type="bibr">[21]</ref>.</p><p>When compared to conventional atomizers, the Flow-Blurring (FB) atomizer, which was first created by Gan&#225;n-Calvo, offers higher atomization capabilities and produces droplets with up to fifty times the surface area of AB atomizers <ref type="bibr">[19]</ref>. It generates fine droplets, rather than a typical jet core of AB atomization, immediately at the injector exit <ref type="bibr">[20]</ref>. This is because of the special design of FB atomizers, in which atomizing air (AA) circulates across an annular zone while liquid flows through a central channel. The critical geometric parameters of the FB concept are that the center liquid channel inner diameter (D) must be equal to the exit orifice diameter, and the distance between the liquid flow tube exit and injector exit (H) must be equal to or less than 0.25 times of the center liquid channel diameter <ref type="bibr">[19]</ref>. A fraction of AA enters the liquid channel just upstream, creating a turbulent two-phase flow and producing bubbles that burst when they leave the atomizer, generating tiny droplets due to a significant pressure drop <ref type="bibr">[18]</ref>. This primary atomization is followed by a secondary atomization phase, where high-velocity AA further breaks droplets and ligaments. <ref type="bibr">Jiang et al. (2015)</ref> observed that thin ligaments accompanied by many fine droplets are formed at the injector immediate exit for high viscosity glycerol (~&gt;200 times more viscous than diesel) and subsequently go through secondary atomization <ref type="bibr">[20]</ref>. Regardless of viscosity, FB can generate considerably finer sprays with a wider range of capabilities <ref type="bibr">[7,</ref><ref type="bibr">21]</ref> compared to AB injectors. For example, it can produce droplets with a smaller diameter and more uniform size (for water SMD 5-25 for FB and 5-45 for AB) <ref type="bibr">[22]</ref>, as well as a shorter atomization complete length (for FB ~2.67D and AB &gt; 50D from the injector exit) <ref type="bibr">[23]</ref>. Compared to traditional AB injectors, the FB atomizer produces fine, steady sprays with much smaller droplet sizes and does not require fuel preheating, demonstrating exceptional atomization performance even with high-viscosity fuels <ref type="bibr">[24]</ref>.</p><p>The Swirl Burst (SB) injector, recently developed by our group by integrating swirling atomizing air (SAA) with the FB concept, significantly enhances secondary atomization efficiency and thus fuel evaporation, as well as fuel-air mixing <ref type="bibr">[18,</ref><ref type="bibr">[25]</ref><ref type="bibr">[26]</ref><ref type="bibr">[27]</ref>. Strong aerodynamic shear interactions are produced near the injector exit by the swirling motion of the atomizing air, which quickly breaks down ligaments and the large droplets produced during primary atomization into finer droplets <ref type="bibr">[18,</ref><ref type="bibr">25]</ref>. In comparison to the FB injector, the SB injector's atomization length is likewise shorternearly half for a variety of high viscosity fluids, such as biodiesel (similar viscosity to diesel), straight vegetable oil (VO), and straight algae oil (AO) (~15-16 times more viscous than diesel) <ref type="bibr">[25,</ref><ref type="bibr">26]</ref> -resulting in lean pre-mixed combustion (LPM) and a short flame length. Additionally, SB has greater combustion efficiency than FB. For VO, combustion completeness was 98% when using the SB injector and 95% while using the FB injector <ref type="bibr">[18]</ref>. The SB injector's fine atomization capabilities were demonstrated by its extremely low CO (6-14 ppm) and NOx (0-13 ppm) emissions even for straight AO combustion, which is nearly 16 times more viscous fuel than diesel <ref type="bibr">[25]</ref>.</p><p>In our previous study, SB injector achieved ultra-clean combustion of G/M blends in the HRR ratios of 50/50, 60/40, and 70/30, especially with almost complete combustion efficiencies (~99.5%) of 50/50 G/M at ALR of 1.5 at a constant HRR of 7kW <ref type="bibr">[24]</ref>. Our SB injector also achieved ultra-clean combustion with CO concentration &#8804; 2 ppm and ~0 ppm NOx concentration without preheating the viscous G/M 60/40 ratio (by HRR) blend, representing typical composition of crude glycerol <ref type="bibr">[6]</ref>, co-combusting with methane <ref type="bibr">[28]</ref>. Near-zero emissions were achieved at ALRs of 2.0, 2.5, and 3.0, with ALR 2.5 selected as optimal due to its lower air input requirement than ALR 3 <ref type="bibr">[28]</ref>. In this study, we extend that work by investigating the effect of simulated LFG which is made up of 50/50 CH&#8324;/CO&#8322; by volume on the combustion of the 60/40 ratio of G/M by HRR using the SB injector. Without pre-heating, cocombustion behavior is evaluated via flame imaging, CO and NOx concentrations in gas products, and temperature profiles of the exhaust and combustor wall. The current study also signifies the characteristics of dual-waste fuel combustion.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>II. Research Objective</head><p>The objective of our current study is to analyze the effects of varying amounts of simulated LFG flowing through the combustion swirler on the combustion performance of dual waste fuel composition i.e., G/M (liquid) and LFG (gaseous) fuels utilizing the SB injector while maintaining a constant ALR of 2.5 for the liquid portion. Dual-waste fuel combustion is investigated with an LFG quantity ranging from 0 to 7 kW, without fuel nor air preheating. G/M 60/40 by HRR blend was used to represent waste crude glycerol. The study is conducted using simulated LFG with the CH4 and CO2 volumetric ratio of 50/50 in the fuel feed, a typical range under realistic conditions. The equivalence ratio and total HRR are kept constant at 0.75 and 7 kW respectively. The effect of the composition of the liquid and gaseous fuels on dual waste fuel combustion are evaluated via flame images, concentration of CO, and NOx in the exhaust gas, and exhaust gas and combustor wall temperature.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>III. Experimental Setup</head><p>The working principle and concept of SB are illustrated in Fig 1 . To improve spray quality and combustion performance, the Swirl Burst (SB) injector utilizes a two-stage atomization process that combines swirling atomizing air (AA) with FB concept <ref type="bibr">[18,</ref><ref type="bibr">25,</ref><ref type="bibr">27,</ref><ref type="bibr">29,</ref><ref type="bibr">30]</ref>. Under certain geometric conditions mentioned in introduction <ref type="bibr">[19]</ref>, atomizing air first enters an annular channel around the central liquid fuel tube and partially bifurcates, allowing a small amount of air to return to the liquid tube tip. In the liquid tube tip, this AA backflow quickly produces a bubbly two-phase zone. A quick drop in pressure causes the bubbles to expand and burst as they exit the injector and generate fine droplets, which is defined as the primary atomization. The second stage improves shear interactions between air and liquid by allowing the residual atomizing air to escape through specially designed swirling grooves in the chamfered injector orifice. The secondary breakup of any ligaments and bigger droplets, via shear layer instabilities between the two phases, is greatly facilitated by this swirling action, which further reduces droplet size <ref type="bibr">[27,</ref><ref type="bibr">29,</ref><ref type="bibr">30]</ref>.  <ref type="bibr">[18,</ref><ref type="bibr">25,</ref><ref type="bibr">29]</ref> The injector swirl number (ISN), representing swirl intensity, is defined by the three parameters that define geometry of these swirling grooves: hub diameter (dh), tip diameter (dt), and swirl vane angle <ref type="bibr">[27,</ref><ref type="bibr">[29]</ref><ref type="bibr">[30]</ref><ref type="bibr">[31]</ref>. It is a non-dimensional number representing the axial flux of swirl momentum divided by the axial flux of axial momentum times equivalent nozzle radius and determined by Equation (1) <ref type="bibr">[31]</ref>. To ensure fine atomization and effective combustion, the current study uses an SB injector configuration with an internal liquid tube diameter (D) of 1.5 mm, a gap (H) of 0.375 mm, and an injector swirl number (ISN) of 2.4 <ref type="bibr">[24,</ref><ref type="bibr">31]</ref>.</p><p>As shown in Fig. <ref type="figure">2</ref>, a lab-scale 7kW swirl stabilized gas turbine combustor was employed for our current study. The compositions of G/M ratio and CH4/CO2 in LFG are kept constant at 60/40 by HRR and 50/50 by volume respectively. The liquid HRR composition ratio and gaseous fuel volume ratio are decided to represent the waste crude glycerol <ref type="bibr">[8]</ref><ref type="bibr">[9]</ref><ref type="bibr">[10]</ref><ref type="bibr">28]</ref> and LFG <ref type="bibr">[13]</ref> at their general realistic condition. A comparison of the related properties of pure glycerol and methanol with their blend and methane is provided in Table <ref type="table">1</ref>. The effect of varying amounts of LFG ranging from 0 to 7 kW on the combustion performance of non-preheated 60/40 (by HRR) G/M blend is studied. Then the amount of HRR contributed by the liquid-gaseous waste fuel varies throughout the experiment. The compressed air is separated into primary air (PA) and atomizing air (AA) after passing through water traps and filters to ensure a dry, clean air supply to the combustor. The Alicat MC-series Mass Flow Controller (MFC) regulates the PA and AA supply with an uncertainty of 0.8% of the reading and &#177; 0.2% of the full range. The MFC model numbers for PA and AA are MCP-250SLPM-D and MCP-100SLPM-D, respectively, with a range of 0-250 and 0-100 SLPM respectively. The combustor was preheated with methane gas before the experiment's start. Methane flowed through a valve from the methane tank, and the MFC, model number MCP-50SLPM-D, controlled the flow between 0 and 50 SLPM with an uncertainty of 0.8% of the reading and &#177; 0.2% of the full range. After methane and PA are mixed, the mixture is sent to the quartz combustor via a 45&#186; curved vane swirler with swirl number (SN) of 0.77. The combustor's cylindrical quartz tube is 45 cm in length and 7.62 cm in diameter. A peristaltic pump, the Cole-Parmer Masterflex L/S (EW-77921-75), with a range of 0-88 mLPM and an uncertainty of &#177; 0.1% of the reading, was used to pump the liquid fuel to the injector. Between the injector and the fuel pump, a pulsation damper was employed. The ISN is 2.4.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Fig. 2 Schematic diagram of the experimental set-up</head><p>The ENERAC (700 series) emission gas analyzer was used to detect the concentrations of CO and NOx in the exhaust gas to examine global combustion characteristics. For NOx detection, the resolution was 0.1 ppm, the uncertainty was less than &#177;1% of the reading, and the range was 0-150 ppm and 0-1500 ppm (dual mode). For CO detection, the precision was 0.1 ppm, the uncertainty was &#177;1-2% of the reading, and the range was 0-150 ppm and 0-2000 ppm (dual mode). The lower range mode was used for both CO and NOx detection as the emission was near zero during the experiments. The exit gas temperature was measured at 1 inch upstream of the combustor exit in the radial direction of the quartz combustor tube using a K-type thermocouple with a range of 0-1100&#186;C and an uncertainty of 2&#186;C. An LS-84D thermometer with a J-type thermocouple (Omega HPS-HT-J-12-SMP-M) with a range of 0-760&#186;C and an uncertainty of (&#177;0.5% of reading + 0.7 &#186;C) was used to monitor the surface temperature of the quartz combustor tube.</p><p>Table 1 Selected properties of the fuels used [10,29,32,33]. Property Methane Methanol Glycerol G/M of 60/40 Blend Chemical Formula CH4 CH4O C3H8O3 N/A Lower heating value, LHV (MJ/kg) 48 19.90 15.80 17.22 Density at 25 o C (kg/m 3 ) 0.77 791 1260 1045.46 Kinematic Viscosity at 25 o C (mm 2 /s) 17.07 0.59 965.8 2 Auto-ignition temperature ( o C) 650 464 370 N/A Vaporization temperature ( o C) -156 64.70 290 N/A Heat of vaporization (kJ/kg) 215-276 726.10 662.00 N/A Stoichiometric air/fuel ratio (mol/mol) 17 7.14 16.66 10.92</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>IV. Results and Discussion</head><p>Flame images for the co-combustion of the dual waste fuel with varying composition of liquid (G/M)-gaseous (LFG) fuels at a constant 7 kW HRR are shown in Figure <ref type="figure">3</ref>. The flame lift-off height gradually decreases as the LFG HRR rises from 0 to 7 kW. The highest lift-off (~10 cm) is seen in the pure liquid waste fuel -G/M blend flame. When methane from LFG is introduced, the flame anchors closer to the swirler, lowering the lift-off height to about 5 cm at 4 kW of LFG. By 7 kW LFG, the flame finally anchors at the swirler outlet. At the same time, flame length reduces from about 14 cm (pure G/M) to around 5 cm (7 kW LFG), suggesting that the flame structures are more compact and radially broader. This transition reflects improved combustion reaction speed and dynamics driven by the high reactivity of methane, which enhances thermal feedback and promotes rapid vaporization of the G/M blend. Faster droplet vaporization leads to more uniform fuel-air mixing, enabling earlier ignition and shorter, and more stabilized flames.</p><p>However, carbon dioxide adversely affects combustion efficiency and significantly decreases the laminar burning speed of methane-air mixtures due to its high heat capacity and chemical effects <ref type="bibr">[34]</ref>. Increased carbon dioxide concentration from Fig. <ref type="figure">3</ref>(a) -(m) leads to increased flame thickness, thus the observed broader flames with higher LFG component, i.e. more CO2, and reduced flame temperature <ref type="bibr">[35,</ref><ref type="bibr">36]</ref>. While methane acts as combustion promoter, carbon dioxide acts as combustion moderator. The combined effect of methane and carbon dioxide on dual waste fuel co-combustion will be further evaluated by the temperature and emission profiles at the combustion exit in this study. The HRR of the swirl stabilized gas turbine combustor was also maintained at 7.0 kW with ALR 2.5 and the equivalence ratio 0.75.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>V. Conclusion</head><p>The current research investigates the effect of simulated LFG on the global combustion characteristics of dualwaste fuel composed of 60/40 G/M blend by HRR (liquid), representing crude glycerol, and simulated LFG (gaseous fuel) by utilizing the fuel-flexible SB injector with ultra-fine atomization capability. Methane and carbon dioxide have completely opposite effects on combustion performance. Visual flame images have qualitatively illustrated in Fig. <ref type="figure">3</ref>(a) -(m). Since emission regulations are becoming stringent all over the world, global combustion characteristics in terms of CO, NOx emissions will also be investigated for the different quantity of LFG in combustion of G/M blend. Efficiently and cleanly burning G/M will reduce the cost of glycerol extraction from crude glycerol biofuel, and waste crude glycerol along with the waste biogas LFG can also be utilized to generate power with the reduction of waste processing cost and environmental impact.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Investigation of Effect of Fluid Properties on Near-Field Spray Characteristics of a Two-Phase Swirl Burst Injector</head><p>Md Shakil Ahmed 1 , Presley Mogote 2 , Kamel Fezzaa 3 , Samuel Clark 4 and Lulin Jiang 5 * 1,2,5 Department of Mechanical Engineering, Baylor University, Waco, TX 76798, USA 3,4 X-Ray Imaging Group, Advanced Photon Source, Argonne National Lab, Argonne, IL 60439, USA</p><p>Effective atomization dictates clean and efficient liquid fuel combustion. A novel twin-fluid swirl burst injector combining reverse internal and external swirls (SBCR) injector has previously produced fine and stable sprays for water at the injector immediate exit, rather than a typical jet of conventional atomizers that are highly sensitive to slight fuel property variations. Based on superior SBCR this study investigates the effect of fluid properties on the SBCR spray behavior at a constant air-to-liquid mass ratio (ALR) of 2.0. Three working fluids were chosen to reflect a wide range of viscosities and surface tensions characteristic of conventional and bio-derived fuels: 100% water, 100% glycerol and a 50%/50% glycerol/water blend by mass. These fluids were selected because of their differing rheological characteristics as well as their applicability in real-world combustion systems looking for sustainable substitutes for fuels generated from fossil fuels. Under the same operating conditions, droplet size distribution, breakup dynamics, and spray stability will be evaluated using high-speed X-ray imaging and frequency-domain analysis. This study will examine the critical role of fluid properties in governing spray behavior and highlight the SBCR injector's robust performance across a wide range of rheologies. The study supports SBCR configuration as a promising candidate for future low-emission, fuel-flexible combustion systems capable of handling distinct fossil fuels and next-generation alternative fuels. 1,2 Graduate Research Assistant, Department of Mechanical Engineering, Baylor University 3 Supporting Author, Physicist at Argonne National Laboratory 4 Supporting Author, Advanced Photon Source Scientist at Argonne National Laboratory 5 Assistant Professor, Department of Mechanical Engineering, Baylor University, and AIAA Senior member * Corresponding Author Email: Lulin_Jiang@baylor.edu 2 AA = atomizing air SB = Swirl Burst ISN = Injector Swirl Number SBP = Swirl Burst Primary with enhanced primary atomization SBS = Swirl Burst Secondary with enhanced secondary aotmization SBCR = Swirl Burst injector combining reverse internal and external swirls SMD = Sauter Mean Diameter FFT = Fast Fourier Transformation</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>I. Nomenclature</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>II. Introduction</head><p>Global energy demands are rising because of widespread population increase and rising living standards in many areas. Growing worldwide energy usage presents problems for energy security and greatly contributes to environmental deterioration <ref type="bibr">[1]</ref>. Because of their affordability, sustainability, and lower carbon footprint, alternative fuels -especially bio-derived ones like glycerol -have grown in popularity as worries about the depletion of fossil fuels and environmental degradation grow on a worldwide scale. However, due to its high viscosity and autoignition temperature, glycerol, a by-product of the manufacturing of biodiesel, is difficult to use directly in combustion systems without undergoing significant preprocessing or chemical modification due to the limited atomization capability of conventional atomizers <ref type="bibr">[2,</ref><ref type="bibr">3]</ref>.</p><p>When used with viscous fuels, conventional air-blast (AB) and pressure-swirl (PS) injectors, which mostly rely on shear-layer instabilities to break up fuel streams/films discharged from the injector orifice, are not very effective. Fuels like glycerol have high viscosities, which greatly reduce the shear-driven atomization mechanism and cause inadequate fuel-air mixing and inefficient combustion <ref type="bibr">[4]</ref>. Insufficient atomization of viscous fuels lead to inconsistent droplet size distribution with large droplets, which undergo incomplete fuel pervaporation and result in poor fuel air mixing. Consequently, it leads to incomplete and/or diffusion combustion emitting pollutants and decreasing combustion efficiency. Thus, fuel preheating and air preconditioning were necessary in many earlier experiments to address these issues, which increased system complexity and energy costs as well as decreased operational efficiency.</p><p>Using internal two-phase interactions and bubble-bursting events slightly upstream the injector exit, flow-blurring (FB) atomization proved to be a reliable substitute that could produce finer sprays <ref type="bibr">[5]</ref>. Without requiring fuel or air preheating, FB injectors have achieved fine atomization across a variety of fuels, including straight glycerol and straight vegetable oil <ref type="bibr">[3,</ref><ref type="bibr">6]</ref>, showing its significantly higher fuel property independence than that of the conventional AB or PS atomizers. Compared to the conventional AB injector atomizing liquid by shear layer instabilities, the FB atomization involves primary atomization by bubble bursting and liquid column breakup due to a sudden pressure drop at the injector exit, and the secondary atomization by shear layer instabilities between the high-velocity air and the liquid droplets in the near field <ref type="bibr">[7]</ref>. As a result, FB injectors are now seen as potentially viable options for fuelflexible combustion systems. Nevertheless, restrictions were noted even with FB injectors, where high-viscosity fuels were more likely to cause ligament persistence and reduced breakup efficiency <ref type="bibr">[3]</ref>.</p><p>To overcome these residual difficulties, the first version of Swirl Burst (SB) injector concept was designed to enhance secondary atomization, called Swirl Burst Secondary (SBS). By incorporating swirl-inducing geometries at the chamfered FB injector exit, the SB design enhances atomization through intensified shear-layer instabilities and thus improved breakup of large droplets <ref type="bibr">[8]</ref>. Furthermore, the Swirl Burst Injector combining reverse internal and external swirls (SBCR) has a reverse-oriented internal swirl that counteracts the external swirl. The internal and external swirls are to enhance the primary and secondary atomization respectively. The atomizing air (AA)'s radial and tangential velocity are increased by this interaction, improving the internal and external two-phase mixing. Consequently, the spray stabilizes from our previous study, fine and consistent droplet dispersion across the spray field for water is achieved by the SBCR injector <ref type="bibr">[9]</ref>.</p><p>This study expands on these developments by systematically investigating how physical characteristics of the fluid-viscosity, surface tension, and density-affect near-field spray characteristics and temporal stability in the SBCR injector under a controlled ALR of 2.0. The study will quantitatively investigate spray characteristics using high-speed X-ray imaging, Cumulative Density Function (CDF) plots, Sauter Mean Diameter (SMD) contouring, and spray dynamics by Fast Fourier Transform (FFT) frequency-domain analysis, using three working fluids of increasing viscosity: 100% water, 50%/50% glycerol/water, and 100% glycerol. The findings will provide critical insight into how the SBCR injector can facilitate fuel-flexible, clean, and stable combustion with a range of liquid fuel types.</p><p>ImageJ software with a variety of plug-ins and macros is used in the image processing procedure. The Retinex filter is used to improve the contrast and color restoration of raw X-ray images, and then the BaSiC plugin is used to correct the illumination <ref type="bibr">[9]</ref>. The median Z-Project and subtraction method is used to eliminate lens static distortions <ref type="bibr">[9]</ref>. The CSBDeep plugin's Noise2Void function is used to remove background noise by training a custom de-noising model <ref type="bibr">[9]</ref>. The TrackMate plugin for droplet tracking and data export is then used to threshold and analyze the cleaned photos <ref type="bibr">[9]</ref>. To evaluate spray characteristics and stability, MATLAB programs subsequently transformed the data into droplet distribution plots, Sauter Mean Diameter (SMD) contour maps, and Fourier transforms etc.  Figure <ref type="figure">4</ref> shows the cumulative density function (CDF) profiles which are based on the droplet count for three different fluid types at an ALR of 2.00 for the SBCR injector. From the plots, 90% droplets are below ~28 &#181;m for all the fluids at all the axial locations. This consistent trend indicates that the SBCR injector effectively generates fine sprays, demonstrating its robust atomization performance independent of fuel properties. The ability to maintain such fine droplet characteristics across varying fluid properties highlights the injector's versatility and effectiveness due to efficient atomization. The SBCR injector's capacity to consistently deliver fine sprays across various fluid types is especially advantageous for applications involving high-viscosity or bio-derived fuels, where conventional atomizers often fail to achieve comparable spray quality. Overall, the plots validate the SBCR injector's superior atomization performance and its potential for broad applicability in advanced combustion and spray-based systems.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>V. Results and Discussion</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>VI. Conclusion</head><p>Motivated by the growing demand for fuel-flexible, low-emission combustion technologies, this study proposes an in-depth analysis into the effect of fluid properties on the spray performance of the SBCR injector at a fixed ALR of 2.00. The study uses water and bio-derived fuels to examine atomization issues that arise in real-world applications by choosing fluids with a broad variety of viscosities and surface tensions, specifically 100% water, 50%/50% glycerol/water, and 100% glycerol. The study will measure droplet size distributions and spray dynamics by combining frequency-domain analysis and high-speed X-ray imaging. This proposed study will advance knowledge of the connection between twin-fluid swirl-assisted injectors' atomization efficiency and fuel physical characteristics. These results are anticipated to help the broader goal of incorporating alternative fuels into future energy solutions with enhanced stability and lower emissions, as well as direct the best use of SBCR designs for advanced combustion systems.</p></div><note xmlns="http://www.tei-c.org/ns/1.0" place="foot" n="1" xml:id="foot_0"><p>Graduate Assistant, Department of Mechanical Engineering, Mdfahadhossain_Mish1@baylor.edu</p></note>
			<note xmlns="http://www.tei-c.org/ns/1.0" place="foot" n="2" xml:id="foot_1"><p>Graduate Assistant, Department of Mechanical Engineering, Opeyemi_Eso1@baylor.edu</p></note>
			<note xmlns="http://www.tei-c.org/ns/1.0" place="foot" n="3" xml:id="foot_2"><p>Assistant Professor, Department of Environmental Science, Yang_Li3@baylor.edu</p></note>
			<note xmlns="http://www.tei-c.org/ns/1.0" place="foot" n="4" xml:id="foot_3"><p>Professor, Department of Mechanical Engineering, Alex_Yokochi@baylor.edu</p></note>
			<note xmlns="http://www.tei-c.org/ns/1.0" place="foot" n="5" xml:id="foot_4"><p>Assistant Professor, Department of Mechanical Engineering, AIAA Senior member, Lulin_Jiang@baylor.edu * Corresponding Author Email: Lulin_Jiang@baylor.edu</p></note>
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