• Media type: Text; E-Book; Report
  • Title: On compatibility of the natural configuration framework with general equation for non-equilibrium reversible-irreversible coupling (GENERIC): Derivation of anisotropic rate-type models
  • Contributor: Pelech, Petr [Author]; Tůma, Karel [Author]; Pavelka, Michal [Author]; Šípka, Martin [Author]; Sýkora, Martin [Author]
  • imprint: Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2021
  • Issue: published Version
  • Language: English
  • DOI: https://doi.org/10.34657/8612; https://doi.org/10.20347/WIAS.PREPRINT.2856
  • ISSN: 2198-5855
  • Keywords: non-Newtonian flows ; viscous flows ; rheology ; mathematical foundations ; Complex fluids ; general fluid mechanics
  • Origination:
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  • Description: 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).
  • Access State: Open Access