Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2768

Full Length Research Paper

On spectral-homotopy analysis solutions of steady magnetohydrodynamic (MHD) flow and heat transfer from a rotating disk in a porous medium

  A. A. Khidir and P. Sibanda*
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X01 Scottsville 3209, Pietermaritzburg, South Africa.
Email: [email protected]

  •  Accepted: 06 June 2012
  •  Published: 31 August 2012

Abstract

 

 

In this paper, a new computational technique was used to solve a system of nonlinear second order equations that govern the steady magnetohydrodynamic(MHD) flow of a viscous incompressible and electrically conducting fluid past a rotating disk in a porous medium. Approximate analytic solutions are found and the effects of ohmic heating and viscous dissipation on the fluid properties are determined. The results are presented graphically.

Key words: Magnetohydrodynamic (MHD) flow, heat transfer, rotating disk, porous medium, Chebyshev spectral method, spectral-homotopy analysis method.