On diffusive variants of some classical viscoelastic rate-type models

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–Man...

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Bibliographic Details
Main Authors: Dostalík, Mark, Průša, Vít, Skřivan, Tomáš
Format: Conference Proceeding
Language:English
Subjects:
Computational fluid dynamics
Diffusion effects
Diffusion rate
Thermodynamics
Viscoelastic fluids
Viscoelasticity
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Summary: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5109493