Abstract Air–water interfacial adsorption complicates per‐ and polyfluoroalkyl substance (PFAS) transport in vadose zones. Air–water interfaces can arise from pendular rings between soil grains and thin water films on grain surfaces, the latter of which account for over 90% of the total air–water interfaces for most field‐relevant conditions. However, whether all thin‐water‐film air–water interfaces are accessible by PFAS and how mass‐transfer limitations in thin water films control PFAS transport in soils remain unknown. We develop a pore‐scale model that represents both PFAS adsorption at bulk capillary and thin‐water‐film air–water interfaces and the mass‐transfer processes between bulk capillary water and thin water films (including advection, aqueous diffusion, and surface diffusion along air–water interfaces). We apply the pore‐scale model to a series of numerical experiments—constrained by experimentally determined hydraulic parameters and air–water interfacial area data sets—to examine the impact of thin‐water‐film mass‐transfer limitations in a sand medium. Our analyses suggest: (a) The mass‐transfer limitations between bulk capillary water and thin water films inside a pore are negligible due to surface diffusion. (b) However, strong mass‐transfer limitations arise in thin water films of pore clusters where pendular rings disconnect. The mass‐transfer limitations lead to early arrival and long tailing behaviors even if surface diffusion is present. (c) Despite the mass‐transfer limitations, all air–water interfaces in the thin water films were accessed by PFAS under the simulated conditions. These findings highlight the importance of incorporating the thin‐water‐film mass‐transfer limitations and surface diffusion for modeling PFAS transport in vadose zones.
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Milk Fracking
Flows along an interface due to a difference in surface tension, known as Marangoni flows, are important in an array of systems from microfluidic devices to plant vasculature. In this work, we investigate a Marangoni-driven phenomenon: star-like surface fracture on milk-air interfaces. We show this phenomenon can be reproduced using a simplified solution of only deionized water and beta-lactoglobulin, a milk protein that forms a thin, gel-like layer at a water-air interface. We report on experiments that show the number of fractures decreases as a function of interface age. We then model this system as an isotropic elastic medium weakened by a pressurized hypocycloidal bore and calculate the stress intensity factors at the hypocycloid crack tips. From this model, we obtain the stress fields for the geometry and a relationship between the expected number of star points and interface-age-dependent material properties of beta-lactoglobulin films. By analyzing high-speed videos taken under a microscope of stars in beta-lactoglobulin solutions, we provide preliminary evidence that these beta-stars closely resemble hypocycloids shortly after formation. We use this model to make a measurement of 9.7±2.5 kJ/m^2 for the equilibrium fracture energy of beta-lactoglobulin films. To our knowledge, this is the first measurement of the fracture energy of an adsorbed protein film. Finally, we note examples of other protein films that display these star-like patterns when dilated, indicating our model offers a general framework for understanding thin-film fracture in a variety of materials.
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- Award ID(s):
- 2340259
- PAR ID:
- 10675921
- Publisher / Repository:
- Williams College Special Collections
- Date Published:
- Format(s):
- Medium: X
- Institution:
- Williams College
- Sponsoring Org:
- National Science Foundation
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