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Effect of Magnetic Field on the Steady Viscous Fluid Flow Around a Semipermeable Spherical Particle

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Abstract

An analytical solution is presented for the steady axisymmetrical Stokes flow of an electrically conducting viscous incompressible fluid through a partially permeable sphere subjected to a uniform transverse magnetic field. The considered flow is divided into two regions, outer viscous fluid region and inner semipermeable region, which are governed by modified Stokes and Darcy’s law respectively due to the presence of magnetic field in the flow regions. The boundary conditions used at the interface are continuity of normal component of velocity, vanishing of tangential component of velocity and continuity of pressure at the surface in contact with the fluid and the semipermeable sphere. An expression for drag force acting on the semipermeable sphere in presence of magnetic field is obtained. Enhancement of drag force exerted on the particle is seen on application of magnetic field. The effect of Hartmann numbers, permeability parameter on the hydrodynamic drag force were discussed. Some renowned results are obtained as the limiting cases.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Raipur, Chhattisgarh, 492010, India

    Madasu Krishna Prasad & Tina Bucha

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  1. Madasu Krishna Prasad
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  2. Tina Bucha
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Correspondence to Madasu Krishna Prasad.

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This article is part of the topical collection “Recent Advances in Mathematics and its Applications” edited by Santanu Saha Ray.

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Krishna Prasad, M., Bucha, T. Effect of Magnetic Field on the Steady Viscous Fluid Flow Around a Semipermeable Spherical Particle. Int. J. Appl. Comput. Math 5, 98 (2019). https://doi.org/10.1007/s40819-019-0668-1

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  • DOI: https://doi.org/10.1007/s40819-019-0668-1

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