On compatibility of the Natural configuration framework with GENERIC: Derivation of anisotropic rate-type models

Petr Pelech; Karel Tuma; Michal Pavelka; Martin Sipka; Martin Sykora

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arXiv · 2010.06903

On compatibility of the Natural configuration framework with GENERIC: Derivation of anisotropic rate-type models

Petr Pelech·Karel Tuma·Michal Pavelka·Martin Sipka·Martin Sykora

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Abstract

Within the framework of natural configurations developed by Rajagopal and Srinivasa, evolution within continuum thermodynamics is formulated as evolution of a natural configuration linked with the current configuration. On the other hand, withing the General Equation for Non-Equilibrium Reversible-Irreversible Coupling (GENERIC) framework, the evolution is split into Hamiltonian mechanics and (generalized) gradient dynamics. These seemingly radically different approaches have actually a lot in common and we show their compatibility on a wide range of models. Both frameworks are illustrated on~isotropic and anisotropic rate-type fluid models. We propose an interpretation of the natural configurations within GENERIC and vice versa (when possible).

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Petr Pelech, Karel Tuma, Michal Pavelka, Martin Sipka, Martin Sykora. 2021-06-03. On compatibility of the Natural configuration framework with GENERIC: Derivation of anisotropic rate-type models. https://arxiv.org/abs/2010.06903

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