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

  • Pavlos S. Stephanou ORCID logo EMAIL logo

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.


Corresponding author: Pavlos S. Stephanou, Department of Chemical Engineering, Cyprus University of Technology, P.O. Box 50329, 3603 Limassol, Cyprus, E-mail:

Acknowledgments

The author would like to thank Prof. Vlasis G. Mavrantzas for suggesting the modeling of anisotropic fluids using non-equilibrium thermodynamics.

  1. Research ethics: Not applicable.

  2. Author contributions: The author has accepted responsibility for the entire content of this manuscript and approved its submission.

  3. Competing interests: The author states no competing interests.

  4. Research funding: None declared.

  5. Data availability: Not applicable.

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Received: 2023-11-08
Accepted: 2024-04-17
Published Online: 2024-05-01

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