Jordan Musser, Madhava Syamlal, Mehrdad Shahnam, David Huckaby, Constitutive equation for heat transfer caused by mass transfer, Chemical Engineering Science, Volume 123, 17 February 2015, Pages 436-443, ISSN 0009-2509, http://dx.doi.org/10.1016/j.ces.2014.11.036.
Abstract: This paper presents a constitutive equation for the thermal heat transfer associated by mass transfer, applicable to both Eulerian–Eulerian and Eulerian– Lagrangian multiphase computational fluid dynamic models. The proposed equation was incorporated into the open-source multiphase CFD code MFIX (https://mfix.delta-change.com) to demonstrate that the numerical predictions match experimental data for the limiting cases of evaporation and condensation. The application of the proposed equation to two cases of a reacting carbon particle yields physically consistent expressions for the heats of reaction.
Keywords: Heat of reaction; Energy equation closure; Computational fluid dynamics (CFD); Multiphase flow