Homogenization of a non-homogeneous heat conducting fluid

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Homogenization of a non-homogeneous heat conducting fluid
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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