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International Journal of Fluid Mechanics Research

Publicou 6 edições por ano

ISSN Imprimir: 2152-5102

ISSN On-line: 2152-5110

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INFLUENCE OF MAGNETIC FIELD ON THE STOKES FLOW THROUGH POROUS SPHEROID: HYDRODYNAMIC PERMEABILITY OF A MEMBRANE USING CELL MODEL TECHNIQUE

Volume 47, Edição 3, 2020, pp. 273-290
DOI: 10.1615/InterJFluidMechRes.2020030464
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RESUMO

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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CITADO POR
  1. Namdeo Ravendra Prasad, Gupta Bali Ram, Magnetic effect on the creeping flow around a slightly deformed semipermeable sphere, Archive of Applied Mechanics, 92, 1, 2022. Crossref

  2. Namdeo Ravendra Prasad, Gupta Bali Ram, Impact of Magnetic Field on the Flow of a Conducting Fluid Past an Impervious Spheroid Embedded in Porous Medium, International Journal of Applied and Computational Mathematics, 8, 3, 2022. Crossref

  3. Yaseen Moh , Rawat Sawan Kumar, Kumar Manoj, ANALYSIS OF MoS2-SiO2/WATER HYBRID NANOFLUID FLOW WITH LINEAR AND QUADRATIC THERMAL RADIATION INDUCED BY A STRETCHING/SHRINKING SURFACE IN A DARCY-FORCHHEIMER POROUS MEDIUM , Special Topics & Reviews in Porous Media: An International Journal, 13, 5, 2022. Crossref

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