Table of Contents
Journal of Computational Engineering
Volume 2014 (2014), Article ID 712147, 13 pages
http://dx.doi.org/10.1155/2014/712147
Research Article

Natural Convection Flow along an Isothermal Vertical Flat Plate with Temperature Dependent Viscosity and Heat Generation

1School of Engineering & Applied Science, Department of Electrical & Computer Engineering, North South University, Dhaka 1229, Bangladesh
2Department of Mathematics, Jahangirnagar University, Dhaka, Bangladesh
3Institute of Natural Sciences, United International University, Dhaka 1209, Bangladesh
4Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh

Received 12 November 2013; Revised 23 April 2014; Accepted 23 April 2014; Published 27 May 2014

Academic Editor: Clement Kleinstreuer

Copyright © 2014 Md. Mamun Molla et al. 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 purpose of this study is to investigate the natural convection laminar flow along an isothermal vertical flat plate immersed in a fluid with viscosity which is the exponential function of fluid temperature in presence of internal heat generation. The governing boundary layer equations are transformed into a nondimensional form and the resulting nonlinear system of partial differential equations is reduced to a convenient form which are solved numerically using an efficient marching order implicit finite difference method with double sweep technique. Numerical results are presented in terms of the velocity and temperature distribution of the fluid as well as the heat transfer characteristics, namely, the wall shear stress and the local and average rate of heat transfer in terms of the local skin-friction coefficient, the local and average Nusselt number for a wide range of the viscosity-variation parameter, heat generation parameter, and the Rayleigh number. Increasing viscosity variation parameter and Rayleigh number lead to increasing the local and average Nusselt number and decreasing the wall shear stress. Wall shear stress and the rate of heat transfer decreased due to the increase of heat generation.