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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

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

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BK - Mechanika tekutin

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Journal of Non-Newtonian Fluid Mechanics

ISSN

0377-0257

e-ISSN

—

Svazek periodika

216

Číslo periodika v rámci svazku

FEBRUARY

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

9

Strana od-do

13-21

Kód UT WoS článku

000349879100002

EID výsledku v databázi Scopus

2-s2.0-84920280622