Homogenization of a non-homogeneous heat conducting fluid

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00546793" target="_blank" >RIV/67985840:_____/21:00546793 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.3233/ASY-201658" target="_blank" >https://doi.org/10.3233/ASY-201658</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3233/ASY-201658" target="_blank" >10.3233/ASY-201658</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Homogenization of a non-homogeneous heat conducting fluid

Popis výsledku v původním jazyce

We consider a non–homogeneous incompressible and heat conducting fluid confined to a 3D domain perforated by tiny holes. The ratio of the diameter of the holes and their mutual distance is critical, the former being equal to ε3, the latter proportional to ε, where ε is a small parameter. We identify the asymptotic limit for ε→0, in which the momentum equation contains a friction term of Brinkman type determined uniquely by the viscosity and geometric properties of the perforation. Besides the inhomogeneity of the fluid, we allow the viscosity and the heat conductivity coefficient to depend on the temperature, where the latter is determined via the Fourier law with homogenized (oscillatory) heat conductivity coefficient that is different for the fluid and the solid holes. To the best of our knowledge, this is the first result in the critical case for the inhomogenous heat–conducting fluid.

Název v anglickém jazyce

Homogenization of a non-homogeneous heat conducting fluid

Popis výsledku anglicky

We consider a non–homogeneous incompressible and heat conducting fluid confined to a 3D domain perforated by tiny holes. The ratio of the diameter of the holes and their mutual distance is critical, the former being equal to ε3, the latter proportional to ε, where ε is a small parameter. We identify the asymptotic limit for ε→0, in which the momentum equation contains a friction term of Brinkman type determined uniquely by the viscosity and geometric properties of the perforation. Besides the inhomogeneity of the fluid, we allow the viscosity and the heat conductivity coefficient to depend on the temperature, where the latter is determined via the Fourier law with homogenized (oscillatory) heat conductivity coefficient that is different for the fluid and the solid holes. To the best of our knowledge, this is the first result in the critical case for the inhomogenous heat–conducting fluid.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Asymptotic Analysis

ISSN

0921-7134

e-ISSN

1875-8576

Svazek periodika

125

Číslo periodika v rámci svazku

3-4

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

20

Strana od-do

327-346

Kód UT WoS článku

000707755500004

EID výsledku v databázi Scopus

2-s2.0-85117956706