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New exact solutions of Stokes' second problem for an MHD second grade fluid in a porous space

  • F. Ali
  • , M. Norzieha
  • , S. Sharidan
  • , I. Khan
  • , T. Hayat
  • Universiti Teknologi Malaysia
  • Quaid-I-Azam University
  • King Saud University

Research output: Contribution to journalArticlepeer-review

50 Scopus citations

Abstract

We investigate a problem describing the oscillating flow of an incompressible magnetohydrodynamic (MHD) second grade fluid in a porous half space. Exact solutions for sine and cosine oscillations are developed by applying the Laplace transform method. The total obtained solution is a sum of steady and transient solutions. Particular attention is given to the effects of magnetic and porous medium parameters on the velocity. It is shown that previous results for a non-porous medium and hydrodynamic fluid are the limiting cases of the present problem. The results for velocity are plotted and discussed carefully.

Original languageEnglish
Pages (from-to)521-525
Number of pages5
JournalInternational Journal of Non-Linear Mechanics
Volume47
Issue number5
DOIs
StatePublished - Jun 2012
Externally publishedYes

Keywords

  • Exact solutions
  • MHD fluid
  • Porous space
  • Stokes' second problem

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