TY  - JOUR
T1  - Thermodynamics of viscoelastic rate-type fluids with stress diffusion
A1  - Málek, Josef
A1  - Průša, Vít
A1  - Skřivan, Tomáš
A1  - Süli, Endre
JA  - Physics of Fluids
Y1  - 2018
VL  - 30
IS  - 2
M2  - doi: 10.1063/1.5018172
KW  - constitutive relations
KW  - stress diffusion
KW  - thermodynamics
KW  - viscoelastic fluids
N2  - 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.
M1  - Preprint project = MORE
M1  - Preprint year = 2017
M1  - Preprint number = 14
M1  - Preprint ID = MORE/2017/14
ER  -