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Article
A Jeffrey-fluid model of blood flow in tubes with stenosis
In this paper, we discuss the two-layered Jeffrey-fluid model with mild stenosis in narrow tubes. The blood flow in narrow arteries is treated as a two-fluid model with the suspension of erythrocytes, leukocyt...
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Article
Effect of magnetic field on the hydrodynamic permeability of a membrane built up by porous spherical particles
In this paper, an analysis of steady, axi-symmetric Stokes flow of an electrically conducting viscous incompressible fluid through spherical particle covered by porous shell in presence of uniform magnetic fie...
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Article
Hydrodynamic permeability of a membrane composed of porous spherical particles in the presence of uniform magnetic field
This work concerns the flow of an incompressible viscous fluid past a porous sphere in presence of transverse applied uniform magnetic field, using particle-in-cell method. The Brinkman equations are used in p...
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Article
Cell model for hydromagnetic axial flow over a cylinder. Part I. transverse magnetic field
Using cell model initiated by Happel, the filtration problem across a membrane composed of an aggregate of parallel circular cylinders subject to a uniform transverse magnetic field is studied. The system is s...
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Article
On hydrodynamic permeability of a membrane built up by porous deformed spheroidal particles
This paper concerns the slow viscous flow of an incompressible fluid past a swarm of identically oriented porous deformed spheroidal particles, using particle-in-cell method. The Brinkman’s equation in the por...
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Article
Hydrodynamic permeability of biporous membrane
This paper concerns the hydrodynamic permeability of biporous medium built up by porous cylindrical particles located in another porous medium by using cell model technique. It is continuation of the previous ...
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Article
Effect of the magnetic field on the hydrodynamic permeability of a membrane
The present paper concerns the influence of the magnetic field on the permeability of a membrane of solid cylindrical particles covered with porous layer. Here, we have considered the flow along the axis of cy...
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Article
Hydrodynamic permeability of membranes built up by spherical particles covered by porous shells: effect of stress jump condition
This paper concerns the flow of an incompressible, viscous fluid past a porous spherical particle enclosing a solid core, using particle-in-cell method. The Brinkman’s equation in the porous region and the Sto...