Table of Contents 
ISRN Thermodynamics
Volume 2013, Article ID 790604, 10 pages
http://dx.doi.org/10.1155/2013/790604
Research Article

Similarity Solution of Heat and Mass Transfer for Natural Convection over a Moving Vertical Plate with Internal Heat Generation and a Convective Boundary Condition in the Presence of Thermal Radiation, Viscous Dissipation, and Chemical Reaction

S. Mohammed Ibrahim1 and N. Bhashar Reddy2

1Department of Mathematics, Priyadarshini College of Engineering and Technology, Nellore 524004, India
2Department of Mathematics, Sri Venkateswara University, Tirupat 517501, India

Received 14 April 2013; Accepted 7 July 2013

Academic Editors: R. R. Burnette, T. M. Inerbaev, and P. Trens

Copyright © 2013 S. Mohammed Ibrahim and N. Bhashar Reddy. 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

Steady laminar natural convection flow over a semi-infinite moving vertical plate with internal heat generation and convective surface boundary condition in the presence of thermal radiation, viscous dissipation, and chemical reaction is examined in this paper. In the analysis, we assumed that the left surface of the plate is in contact with a hot fluid while the cold fluid on the right surface of the plate contains a heat source that decays exponentially with the classical similarity variable. We utilized similarity variable to transform the governing nonlinear partial differential equations into a system of ordinary differential equations, which are solved numerically by applying shooting iteration technique along fourth-order Runge-Kutta method. The effects of the local Biot number, Prandtl number, buoyancy forces, the internal heat generation, the thermal radiation, Eckert number, viscous dissipation, and chemical reaction on the velocity, temperature, and concentration profiles are illustrated and interpreted in physical terms. A comparison with previously published results on the similar special cases showed an excellent agreement. Finally, numerical values of physical quantities, such as the local skin-friction coefficient, the local Nusselt number, and the local Sherwood number, are presented in tabular form.