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Slip effects on shearing flows in a porous medium

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Abstract

This paper deals with the magnetohydrodynamic (MHD) flow of an Oldroyd 8-constant fluid in a porous medium when no-slip condition is no longer valid. Modified Darcy’s law is used in the flow modelling. The non-linear differential equation with non-linear boundary conditions is solved numerically using finite difference scheme in combination with an iterative technique. Numerical results are obtained for the Couette, Poiseuille and generalized Couette flows. The effects of slip parameters on the velocity profile are discussed.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000, Pakistan

    M. Khan & T. Hayat

  2. Chair of Fluid Dynamics, Department of Mechanical Engineering, Darmstadt University of Technology, Hochschulstrasse 1, 64289, Darmstadt, Germany

    Y. Wang

Authors
  1. M. Khan
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  2. T. Hayat
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  3. Y. Wang
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Correspondence to M. Khan.

Additional information

The English text was polished by Keren Wang.

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Khan, M., Hayat, T. & Wang, Y. Slip effects on shearing flows in a porous medium. Acta Mech. Sin. 24, 51–59 (2008). https://doi.org/10.1007/s10409-007-0123-0

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  • DOI: https://doi.org/10.1007/s10409-007-0123-0

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