%0 Journal Article
%T Internal Heat Generation Effect on Thermal Boundary Layer with a Convective Surface Boundary Condition
%J American Journal of Fluid Dynamics
%@ 2168-4715
%D 2012
%I 
%R 10.5923/j.ajfd.20120201.01
%X In this study, we examine the combined effects of internal heat generation and a convective boundary condition on the laminar boundary layer flow over a flat plate. It is assumed that lower surface of the plate is in contact with a hot fluid while a stream of cold fluid flows steadily over the upper surface with a heat source that decays exponentially. Using a similarity variable, the governing non-linear partial differential equations have been transformed into a set of coupled non-linear ordinary differential equations, which are solved numerically by applying shooting iteration technique together with fourth order Runge-Kutta integration scheme. The effects of Prandtl number, local Biot number, and the internal heat generation parameter on the velocity and temperature profiles are illustrated and interpreted in physical terms. A comparison with previously published results on special case of the problem shows excellent agreement
%K Blassius flow
%K Convective boundary condition
%K internal heat generation
%K Shooting method
%U http://article.sapub.org/10.5923.j.ajfd.20120201.01.html