Hydrodynamic Permeability of a Membrane Built up by Non-Homogenous Porous Cylindrical Particles


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Abstract

This paper concerns the evaluation of the hydrodynamic permeability of a membrane built up by non-homogeneous porous cylindrical particles using four known boundary conditions, such as Happel’s, Kuwabara’s, Kvashnin’s, Mehta-Morse/Cunningham’s. For different values of flow parameters, the variations of the hydrodynamic permeability are presented graphically and discussed. Some earlier results reported for the drag force and the hydrodynamic permeability, have been verified.

About the authors

Satya Deo

Department of Mathematics, University of Allahabad

Email: filippov.a@gubkin.ru
India, Allahabad, 211002

Pankaj Kumar Maurya

Department of Mathematics, University of Allahabad

Email: filippov.a@gubkin.ru
India, Allahabad, 211002

A. N. Filippov

Department of Higher Mathematics, National University of Oil and Gas “Gubkin University”

Author for correspondence.
Email: filippov.a@gubkin.ru
Russian Federation, Moscow, 119991

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