Table of Contents
ISRN Mechanical Engineering
Volume 2011 (2011), Article ID 505673, 10 pages
http://dx.doi.org/10.5402/2011/505673
Research Article

Effect of Temperature-Dependent Variable Viscosity on Magnetohydrodynamic Natural Convection Flow along a Vertical Wavy Surface

Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka 1000, Bangladesh

Received 17 January 2011; Accepted 21 February 2011

Academic Editors: M. Al-Nimr, C.-Y. Huang, and G.-J. Wang

Copyright © 2011 Nazma Parveen and Md. Abdul Alim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The effect of temperature dependent variable viscosity on magnetohydrodynamic (MHD) natural convection flow of viscous incompressible fluid along a uniformly heated vertical wavy surface has been investigated. The governing boundary layer equations are first transformed into a nondimensional form using suitable set of dimensionless variables. The resulting nonlinear system of partial differential equations are mapped into the domain of a vertical flat plate and then solved numerically employing the implicit finite difference method, known as Keller-box scheme. The numerical results of the surface shear stress in terms of skin friction coefficient and the rate of heat transfer in terms of local Nusselt number, the stream lines and the isotherms are shown graphically for a selection of parameters set consisting of viscosity parameter ( πœ€ ), magnetic parameter ( 𝑀 ), and Prandtl number (Pr). Numerical results of the local skin friction coefficient and the rate of heat transfer for different values are also presented in tabular form.