Mathematical modeling of micropolar fluid flows through a thin porous medium

We study the flow of a micropolar fluid in a thin domain with microstructure, i.e., a thin domain with thickness ε which is perforated by periodically distributed solid cylinders of size a ε . A main feature of this study is the dependence of the characteristic length of the micropolar fluid on the...

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Bibliographic Details
Published inJournal of engineering mathematics Vol. 126; no. 1
Main Author Suárez-Grau, Francisco J.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.02.2021
Springer Nature B.V
Subjects
Applications of Mathematics
Computational fluid dynamics
Computational Mathematics and Numerical Analysis
Domains
Fluid flow
Mathematical and Computational Engineering
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Micropolar fluids
Porous media
Porous media flow
Theoretical and Applied Mechanics
Homogenization
Micropolar fluid flow
Darcy’s law
Thin-film fluid
Thin porous medium
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Summary:We study the flow of a micropolar fluid in a thin domain with microstructure, i.e., a thin domain with thickness ε which is perforated by periodically distributed solid cylinders of size a ε . A main feature of this study is the dependence of the characteristic length of the micropolar fluid on the small parameters describing the geometry of the thin porous medium under consideration. Depending on the ratio of a ε with respect to ε , we derive three different generalized Darcy equations where the interaction between the velocity and the microrotation fields is preserved.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0022-0833
1573-2703
DOI:10.1007/s10665-020-10075-2