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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Druckformat: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.2020030464
pages 273-290


Pramod Kumar Yadav
Department of Mathematics,Motilal Nehru National Institute of Technology Allahabad, Prayagraj, Uttar Pradesh 211004, India
Reviewer of Meccanica Journal and Member of Editorial Board of Applied Mathematics Journal


The present work concerns an analysis of the creeping flow of steady, axisymmetric Stokes flow of an electrically conducting, viscous, incompressible fluid through a swarm of porous spheroidal particles in the presence of a uniform magnetic field. Cell model technique has been used to model the problem. Four known boundary conditions, Happel's, Kuwabara's, Kvashnin's, and Cunningham's (Mehta-Morse's), are used to find the hydrodynamic permeability of the membrane built up by porous spheroidal particles by using the perturbation method. The stress jump boundary condition for tangential stresses, along with the continuity of normal stress and velocity components, is used at the fluid-porous interface. The variation of the dimensionless hydrodynamic permeability of the membrane with the stress jump coefficient, the Hartmann number, and the dimensionless permeability of the porous region and particle volume fraction are discussed. The presented model can be used for the evaluation of changing hydrodynamic permeability of a membrane under the influence of a uniform magnetic field in pressure-driven processes (nano-, reverse osmosis, and microfiltration).


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