Počet záznamů: 1
Homogenization of a non-homogeneous heat conducting fluid
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SYSNO ASEP 0546793 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Homogenization of a non-homogeneous heat conducting fluid Tvůrce(i) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Lu, Y. (CN)
Sun, Y. (CN)Zdroj.dok. Asymptotic Analysis. - : IOS Press - ISSN 0921-7134
Roč. 125, 3-4 (2021), s. 327-346Poč.str. 20 s. Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova non-homogeneous Navier–Stokes system ; homogenization ; heat-conducting fluid ; incompressible fluid ; Brinkman law Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics Způsob publikování Omezený přístup Institucionální podpora MU-W - RVO:67985840 UT WOS 000707755500004 EID SCOPUS 85117956706 DOI 10.3233/ASY-201658 Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2022 Elektronická adresa https://doi.org/10.3233/ASY-201658
Počet záznamů: 1