On compatibility of the natural configuration framework with general equation for non-equilibrium reversible–irreversible coupling (GENERIC): Derivation of anisotropic rate-type models

Autor:	P. Pelech, K. Tůma, M. Pavelka, M. Šípka, M. Sýkora
Rok vydání:	2022
Předmět:	Complex fluids mathematical foundations Applied Mathematics Mechanical Engineering General Chemical Engineering Condensed Matter Physics 76A05 non-Newtonian flows 76A15 76A02 viscous flows 76A10 general fluid mechanics rheology General Materials Science
Zdroj:	Journal of Non-Newtonian Fluid Mechanics. 305:104808
ISSN:	0377-0257
DOI:	10.1016/j.jnnfm.2022.104808
Popis:	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).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03c0048b2d4164f4994f05b6e4991a57 https://doi.org/10.1016/j.jnnfm.2022.104808 Zobrazit plný text záznamu Full Text from ScienceDirect