Entropy Analysis of Implicit Heat Fluxes in Multi-Temperature Mixtures
Date
2024-08-24
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Entropy
Abstract
We propose new implicit constitutive relations for the heat fluxes of a two-temperature mixture of fluids. These relations are frame-indifferent forms. However, classical explicit forms of the stress tensors and the interaction forces (specified as explicit forms of constitutive relations) as given in mixture theory are used. The focus here is to establish constraints imposed on the implicit terms in the heat fluxes due to the Second Law of Thermodynamics. Our analysis establishes that the magnitude of the explicit entropy production is equal to or greater than that of the implicit entropy production.
Description
This article was originally published in Entropy. The version of record is available at: https://doi.org/10.3390/e26090723.
© 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Keywords
mixtures, entropy, two temperatures, non-Fourier conduction, Maxwell–Cattaneo model, constitutive modeling
Citation
Kirwan, A. D., Jr., and Mehrdad Massoudi. 2024. "Entropy Analysis of Implicit Heat Fluxes in Multi-Temperature Mixtures" Entropy 26, no. 9: 723. https://doi.org/10.3390/e26090723