International Journal of Physical Sciences Vol. 2(4), pp. 046-060, April 2014 ISSN 2331-1827 ©2014 Academe Research Journals

Full Length Research Paper

Irreversibility analysis of magnetohydrodynamic flow over a stretching sheet with partial slip and convective boundary

Adnan Saeed Butt¹*, Asif Ali¹ and Ahmer Mehmood²

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

²Department of Mathematics (FBAS), International Islamic University, Islamabad, Pakistan.

*Corresponding author. E-mail: adnansaeedbutt85@gmail.com.

Accepted 28 March, 2014

Abstract

The aim of the present article is to study the inherent irreversible effects in magnetohydrodynamic (MHD) flow over a stretching sheet with partial slip and convective boundary. The non-linear partial differential equations governing the flow and heat transfer phenomenon are reduced to a set of non-linear ordinary differential equations with the help of suitable similarity transformations. The transformed equations are then solved analytically with the help of the homotopy analysis method. The expressions for the velocity and the temperature fields are obtained and are utilized to compute the entropy generation number  and the Bejan number . Both numerical and graphical results are presented and discussed for various physical parameters involved in the problem.

Key words: Boundary layer flow, stretching sheet, partial slip, convective boundary, entropy generation.