ON MODELS FOR VISCOELASTIC MATERIALS THAT ARE MECHANICALLY INCOMPRESSIBLE AND THERMALLY COMPRESSIBLE OR EXPANSIBLE AND THEIR OBERBECK-BOUSSINESQ TYPE APPROXIMATIONS
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10145553" target="_blank" >RIV/00216208:11320/13:10145553 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S0218202513500516" target="_blank" >http://dx.doi.org/10.1142/S0218202513500516</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218202513500516" target="_blank" >10.1142/S0218202513500516</a>
Alternative languages
Result language
angličtina
Original language name
ON MODELS FOR VISCOELASTIC MATERIALS THAT ARE MECHANICALLY INCOMPRESSIBLE AND THERMALLY COMPRESSIBLE OR EXPANSIBLE AND THEIR OBERBECK-BOUSSINESQ TYPE APPROXIMATIONS
Original language description
Viscoelastic fluid like materials that are mechanically incompressible but are compressible or expansible with respect to thermal stimuli are of interest in various applications ranging from geophysics and polymer processing to glass manufacturing. Herewe develop a thermodynamical framework for the modeling of such materials. First we illustrate the basic ideas in the simpler case of a viscous fluid, and after that we use the notion of natural configuration and the concept of the maximization of the entropy production, and we develop a model for a Maxwell type viscoelastic fluid that is mechanically incompressible and thermally expansible or compressible. An important approximation in fluid mechanics that is frequently used in modeling buoyancy drivenflows is the Oberbeck-Boussinesq approximation. Originally, the approximation was used for studying the flows of viscous fluids in thin layers subject to a small temperature gradient. However, the approximation has been used almost witho
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BK - Liquid mechanics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
ISSN
0218-2025
e-ISSN
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Volume of the periodical
23
Issue of the periodical within the volume
10
Country of publishing house
SG - SINGAPORE
Number of pages
34
Pages from-to
1761-1794
UT code for WoS article
000321774700001
EID of the result in the Scopus database
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