On thermodynamics of incompressible viscoelastic rate type fluids with temperature dependent material coefficients

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10360838" target="_blank" >RIV/00216208:11320/17:10360838 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1016/j.ijnonlinmec.2017.06.011" target="_blank" >http://dx.doi.org/10.1016/j.ijnonlinmec.2017.06.011</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ijnonlinmec.2017.06.011" target="_blank" >10.1016/j.ijnonlinmec.2017.06.011</a>

Result language

angličtina

Original language name

On thermodynamics of incompressible viscoelastic rate type fluids with temperature dependent material coefficients

Original language description

We derive a class of thermodynamically consistent variants of Maxwell/Oldroyd-B type models for incompressible viscoelastic fluids. In particular, we study the models that allow one to consider temperature dependent material coefficients. This naturally calls for the formulation of a temperature evolution equation that would accompany the evolution equations for the mechanical quantities. The evolution equation for the temperature is explicitly formulated, and it is shown to be consistent with the laws of thermodynamics and the evolution equations for the mechanical quantities. The temperature evolution equation contains terms that are ignored or even not thought of in most of the practically oriented (computational) works dealing with this class of fluids. The impact of the additional terms in the temperature evolution equation on the flow dynamics is documented by the solution of simple initial/boundary value problems.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

International Journal of Non-Linear Mechanics

ISSN

0020-7462

e-ISSN

—

Volume of the periodical

2017

Issue of the periodical within the volume

95

Country of publishing house

GB - UNITED KINGDOM

Number of pages

16

Pages from-to

193-208

UT code for WoS article

000412378900020

EID of the result in the Scopus database

2-s2.0-85021974776