TY  - JOUR
T1  - On diffusive variants of some classical viscoelastic rate-type models
A1  - Dostalík, Mark
A1  - Průša, Vít
A1  - Skřivan, Tomáš
JA  - AIP Conference Proceedings
Y1  - 2019
VL  - 2107
SP  - 020002
M2  - doi: 10.1063/1.5109493
KW  - stress diffusion
KW  - thermodynamics
KW  - viscoelastic fluids
N2  - We present a thermodynamically based approach to the design of models for viscoelastic fluids with stress diffusion effect. In particular, we show how to add a stress diffusion term to some standard viscoelastic rate-type models (Giesekus, FENE-P, Johnson–Segalman, Phan-Thien–Tanner and Bautista–Manero–Puig) so that the resulting models with the added stress diffusion term are thermodynamically consistent in the sense that they obey the first and the second law of thermodynamics. We point out the potential applications of the provided thermodynamical background in the study of flows of fluids described by the proposed models.
M1  - Preprint project = NCMM
M1  - Preprint year = 2019
M1  - Preprint number = 05
M1  - Preprint ID = NCMM/2019/05
ER  -