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Thermodynamics of viscoelastic rate-type fluids with stress diffusion

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. Different interpretations of the stress diffusion mechanism lead to different evolution equations for the temperature. The derived models open up the possibility to study fully coupled thermomechanical problems involving viscoelastic rate type fluids with stress diffusion.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1063/1.5018172

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Publisher:
AIP Publishing
Journal:
Physics of Fluids More from this journal
Volume:
30
Issue:
2
Pages:
023101
Publication date:
2018-02-02
Acceptance date:
2018-01-08
DOI:
EISSN:
1089-7666
ISSN:
1070-6631


Keywords:
Pubs id:
pubs:701842
UUID:
uuid:b2b21555-e59d-4fa1-b0fe-631716864e2a
Local pid:
pubs:701842
Source identifiers:
701842
Deposit date:
2017-07-13

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