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  4. Inconsistency between the micropolar theory and non-equilibrium thermodynamics in the case of polar fluids
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Inconsistency between the micropolar theory and non-equilibrium thermodynamics in the case of polar fluids

Journal
Journal of Non-Equilibrium Thermodynamics
Date Issued
May 1, 2024
Author(s)
Stephanou, Pavlos S.  
DOI
10.1515/jnet-2023-0106
Abstract
The balance equation of angular momentum in anisotropic fluids includes a couple stress contribution, also responsible for an antisymmetric contribution to the force stress tensor. We herein derive all balance equations for the simplest anisotropic fluid, i.e., a polar fluid, using the GENERIC formalism of non-equilibrium thermodynamics. In doing so, we find that there is an inconsistency between the internal energy density evolution equation derived using non-equilibrium thermodynamics and the one usually considered in micropolar theory.
Subjects

polar fluid

asymmetric stress ten...

couple stress

micropolar theory

non-equilibrium therm...

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