On existence of weak solution to a model describing incompressible mixtures with thermal diffusion cross effects

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10314006" target="_blank" >RIV/00216208:11320/15:10314006 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1002/zamm.201300101" target="_blank" >http://dx.doi.org/10.1002/zamm.201300101</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/zamm.201300101" target="_blank" >10.1002/zamm.201300101</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On existence of weak solution to a model describing incompressible mixtures with thermal diffusion cross effects

Popis výsledku v původním jazyce

We present a model describing unsteady flows of a heat conducting mixture composed from L constituents in two and three dimensional bounded domain. We assume that the flow of the mixture is described only by the barycentric velocity, and that the fluid is non-Newtonian. In addition, we assume that the diffusion flux depends also on the temperature gradient, describing the Soret effect, and that the heat flux depends also on the chemical potentials gradient, describing the Dufour effect. We briefly showunder which assumptions on the constitutive equations the model obeys the first and the second laws of thermodynamics and for a large class of physically well-motivated constitutive relations we establish the existence of a weak solution. For simplicitywe restrict ourselves only onto the linear models, i.e., the diffusion and the heat flux depend linearly on the temperature and chemical potentials gradients. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Název v anglickém jazyce

On existence of weak solution to a model describing incompressible mixtures with thermal diffusion cross effects

Popis výsledku anglicky

We present a model describing unsteady flows of a heat conducting mixture composed from L constituents in two and three dimensional bounded domain. We assume that the flow of the mixture is described only by the barycentric velocity, and that the fluid is non-Newtonian. In addition, we assume that the diffusion flux depends also on the temperature gradient, describing the Soret effect, and that the heat flux depends also on the chemical potentials gradient, describing the Dufour effect. We briefly showunder which assumptions on the constitutive equations the model obeys the first and the second laws of thermodynamics and for a large class of physically well-motivated constitutive relations we establish the existence of a weak solution. For simplicitywe restrict ourselves only onto the linear models, i.e., the diffusion and the heat flux depend linearly on the temperature and chemical potentials gradients. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Druh

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

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

<a href="/cs/project/GA201%2F09%2F0917" target="_blank" >GA201/09/0917: Matematická a počítačová analýza evolučních procesů v nelineárních viskoelastických tekutinách</a><br>

Návaznosti

S - Specificky vyzkum na vysokych skolach<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

ZAMM Zeitschrift für Angewandte Mathematik und Mechanik

ISSN

0044-2267

e-ISSN

—

Svazek periodika

95

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

31

Strana od-do

589-619

Kód UT WoS článku

000355725900003

EID výsledku v databázi Scopus

2-s2.0-84930252519