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Homogenization of a non-homogeneous heat conducting fluid
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SYSNO ASEP 0546793 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Homogenization of a non-homogeneous heat conducting fluid Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Lu, Y. (CN)
Sun, Y. (CN)Source Title Asymptotic Analysis. - : IOS Press - ISSN 0921-7134
Roč. 125, 3-4 (2021), s. 327-346Number of pages 20 s. Language eng - English Country NL - Netherlands Keywords non-homogeneous Navier–Stokes system ; homogenization ; heat-conducting fluid ; incompressible fluid ; Brinkman law Subject RIV BA - General Mathematics OECD category Pure mathematics Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000707755500004 EID SCOPUS 85117956706 DOI 10.3233/ASY-201658 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2022 Electronic address https://doi.org/10.3233/ASY-201658
Number of the records: 1