International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

Accelerated flows of a magnetohydrodynamic (MHD) second grade fluid over an oscillating plate in a porous medium and rotating frame

Faisal Salah1,2, Zainal Abdul Aziz1* and Dennis Ling Chuan Ching3
  1Department of Mathematics, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Skudai, Johor, Malaysia. 2Department of Mathematics, Faculty of Science, University of Kordofan, Sudan. 3Department of Fundamental and Applied Sciences, Universiti Teknologi Petronas, Tronoh, Perak, Malaysia.
Email: [email protected]

  •  Accepted: 15 December 2011
  •  Published: 30 December 2011

Abstract

 

The aim of this paper is to determine the exact solutions for the velocity field related to the magnetohydrodynamic (MHD) and rotating flow of a second grade fluid in a porous medium induced by accelerated flows over an oscillating plate. This is accomplished by using the Fourier sine and Laplace transforms. Two explicit flow situations of the fluid are considered. In each case, both sine and cosine oscillations of the plate are incorporated. Finally, some graphical results of the fluid’s velocity profiles are presented correspondingly for different values of the emerging parameters. The physical interpretations for these parameters are discussed with the help of these graphical illustrations.

 

Key words: Fourier and Laplace transforms, accelerated flow, magnetohydrodynamic (MHD) second grade fluidporous medium, rotating frame.