Vol. 10 No. 2 (2011): Mapana Journal of Sciences
Research Articles

Analytical Study of Creeping Flow Past a Composite Sphere: Solid Core With Porous Shell in Presence of Magnetic Field

  • D.V. Jayalakshmamma,
  • P.A. Dinesh,
  • M. Sankar
D.V. Jayalakshmamma
Vemana Institute of Technology, Bangalore 560 034
P.A. Dinesh
M.S. Ramaiah Institute of Technology, Bangalore 560 054
M. Sankar
East Point College of Engineering and Technology, Bangalore 560 049
DOI: https://doi.org/10.12723/mjs.19.2

Published 2021-08-26

Copyright (c) 2011

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Abstract

The two-dimensional creeping flow of an electrically conducting fluid past a multiple composite sphere consists of solid sphere with permeable porous shell in presence of applied transverse magnetic field is studied analytically using Stokes and Brinkman equations. The basic governing equations are solved using similarity solution method and closed forms of exact solutions are obtained. Stream lines are discussed for various Hartmann number ( ) and porous parameter ( ). It is observed that the fluid flow is suppressed in presence of magnetic field both in non-porous and porous regions and also the results obtained are in excellent agreement in the absence of the magnetic field

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