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

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Abstract

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.

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Acknowledgements

The present work is supported by the Russian Foundation for Basic Research (19-08-00058).

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  1. Gubkin Russian State University of Oil and Gas (National Research University), Leninsky Prospect, 65-1, Moscow, Russia, 119991

    Daria Khanukaeva

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  1. Daria Khanukaeva
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Correspondence to Daria Khanukaeva.

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Communicated by Tim Colonius.

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Khanukaeva, D. Filtration of micropolar liquid through a membrane composed of spherical cells with porous layer. Theor. Comput. Fluid Dyn. 34, 215–229 (2020). https://doi.org/10.1007/s00162-020-00527-x

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