International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2533

Unsteady magnetohydrodynamic (MHD) thin film flow of a third grade fluid with heat transfer and no slip boundary condition down an inclined plane

Aiyesimi Y. M. 1, Okedayo G. T. 2 and Lawal O. W.1*
1Department of Mathematics, Federal University of Technology Minna, Niger State, Nigeria. 2Department of Mathematics, Ondo State University of Science and Technology Okitipupa, Ondo State, Nigeria.
Email: [email protected]

  •  Accepted: 19 April 2013
  •  Published: 23 May 2013

Abstract

An investigation is made for unsteady magnetohydrodynamic (MHD) thin film flow of a third grade fluid down an inclined plane. The non-linear partial differential equation governing the flow and heat transfer are reduced to a system of non-linear algebraic equations using implicit finite difference approximation to obtain velocity and temperature profile. The effect of various physical parameter on both velocity and temperature profile obtained are studied through several graphs. It is noticed that the velocity and temperature profile decreases due to increase in third grade parameter and magnetic parameter.

 

Key word: Non-Newtonian fluid, magnetohydrodynamic (MHD) flow, third grade fluid, implicit finite difference approximation, heat transfer.