Tensorial implicit constitutive relations in mechanics of incompressible non-Newtonian fluids

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10313783" target="_blank" >RIV/00216208:11320/15:10313783 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jnnfm.2014.12.006" target="_blank" >http://dx.doi.org/10.1016/j.jnnfm.2014.12.006</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jnnfm.2014.12.006" target="_blank" >10.1016/j.jnnfm.2014.12.006</a>

Result language
angličtina
Original language name
Tensorial implicit constitutive relations in mechanics of incompressible non-Newtonian fluids
Original language description
The standard assumption in the phenomenological theory of constitutive relations for non-Newtonian fluids is that the Cauchy stress tensor is a function of the symmetric part of the velocity gradient. By discussing experimental data available in the literature we show that the classical framework is overly restrictive. A simple framework that goes beyond the standard approach is the novel concept of implicit constitutive relations. Here, the basic assumption is that the relation between the stress and the symmetric part of the velocity gradient is given by an implicit tensorial equation. We demonstrate that the implicit type constitutive relations are adequate for fitting the one dimensional (shear stress versus shear rate) experimental data, and we speculate about the possible form of the corresponding three dimensional (Cauchy stress tensor versus symmetric part of the velocity gradient) implicit constitutive relations. Using the representation theorem for isotropic tensorial functio
Czech name
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Czech description
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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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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)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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