Filtration of micropolar liquid through a membrane composed of spherical cells with porous layer

This paper considers membranes of globular structure in the framework of the cell model technique. The flow of a micropolar fluid through a spherical cell consisting of a solid core, porous layer and liquid envelope is modeled using coupled micropolar and Brinkman-type equations. The solution is obt...

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Bibliographic Details
Published inTheoretical and computational fluid dynamics Vol. 34; no. 3; pp. 215 - 229
Main Author Khanukaeva, Daria
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2020
Springer
Springer Nature B.V
Subjects
Analysis
Boundary value problems
Classical and Continuum Physics
Computational Science and Engineering
Engineering
Engineering Fluid Dynamics
Hydrodynamics
Membranes
Micropolar fluids
Original Article
Permeability
Porous media
Micropolar fluid flow
Cell model
Hydrodynamic permeability
Porous medium
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Summary:This paper considers membranes of globular structure in the framework of the cell model technique. The flow of a micropolar fluid through a spherical cell consisting of a solid core, porous layer and liquid envelope is modeled using coupled micropolar and Brinkman-type equations. The solution is obtained in analytical form. Boundary value problems with different conditions on the hypothetical cell surface are considered and compared. The hydrodynamic permeability of the membrane is investigated as a function of micropolar and porous media characteristics.
ISSN:0935-4964
1432-2250
DOI:10.1007/s00162-020-00527-x