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Thermodynamics of viscoelastic rate-type fluids with stress diffusion
Type of publication: Article
Citation:
Publication status: Published
Journal: Physics of Fluids
Volume: 30
Number: 2
Year: 2018
DOI: 10.1063/1.5018172
Abstract: We propose thermodynamically consistent models for viscoelastic fluids with a stress diffusion term. In particular, we derive variants of compressible/incompressible Maxwell/Oldroyd-B models with a stress diffusion term in the evolution equation for the extra stress tensor. It is shown that the stress diffusion term can be interpreted either as a consequence of a nonlocal energy storage mechanism or as a consequence of a nonlocal entropy production mechanism, while different interpretations of the stress diffusion mechanism lead to different evolution equations for the temperature. The benefits of the knowledge of the thermodynamical background of the derived models are documented in the study of nonlinear stability of equilibrium rest states. The derived models open up the possibility to study fully coupled thermomechanical problems involving viscoelastic rate-type fluids with stress diffusion.
Preprint project: MORE
Preprint year: 2017
Preprint number: 14
Preprint ID: MORE/2017/14
Keywords: constitutive relations, stress diffusion, thermodynamics, viscoelastic fluids
Authors Málek, Josef
Průša, Vít
Skřivan, Tomáš
Süli, Endre
Added by: [KT]
Total mark: 0
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