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   Kurzawski, Andrew J. ; Ezekoye, Ofodike A. ( May 2020 , Journal of Heat Transfer)

   Abstract In fire hazard calculations, knowledge of the heat-release rate (HRR) of a burning item is imperative. Typically, room-scale calorimetry is conducted to determine the HRRs of common combustible items. However, this process can be prohibitively expensive. In this work, a method is proposed to invert for the HRR of a single item burning in a room using transient heat flux measurements at the walls and ceiling near the item. The primary device used to measure heat flux is the directional flame thermometer (DFT). The utility of the inverse method is explored on both synthetically generated and experimental data using two so-called forward models in the inversion algorithm: fire dynamics simulator (FDS) and the consolidated model of fire and smoke transport (CFAST). The fires in this work have peak HRRs ranging from 200 kW to 400 kW. It was found that FDS outperformed CFAST as a forward model at the expense of increased computational cost and that the error in the inverse reconstruction of a 400 kW steady fire was on par with room-scale oxygen consumption calorimetry. 

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   https://doi.org/10.1029/2018JE005800  

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   Rocky planets with high levels of internal heat production experience high rates of melting and extensive volcanic resurfacing in the heat pipe mode of planetary heat transport. On Earth, this took place prior to the onset of plate tectonics during the first billion or more years. The extraction of melt from a planetary mantle affects the mantle dynamics, the temperature structure of the interior, the viscosity of mantle material, and the timescales of thermal equilibration in the mantle, and therefore, developing a quantitative parameterization for heat transport by volcanism is necessary to calculate the thermal histories of terrestrial planets efficiently. In this work, we develop a quantitative parameterization of heat transport in planetary mantles including the effect of melting. The heat flux due to melting, the internal temperature of the mantle, the temperature of the lid base, the lid thickness, and the heat flux due to conduction were calculated using the parameterization for different cases of solidus gradient and surface melting temperatures, and the values were compared with the results of numerical simulations for validation. The good fit achieved (<15% relative error) over a large range of melt fluxes with no additional parameters indicates that the parameterization usefully and accurately models the process of mantle convection including melting.

    

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