Olanrewaju, P. O. and Gbadeyan, J.A. and Hayat, T
Effects of internal heat generation, thermal radiation, and buoyancy force on boundary
layer over a vertical plate with a convective boundary condition.
South African Journal of Science.
(In Press)
Abstract
In this paper we analyze the effects of internal heat generation, thermal radiation, and buoyancy
force on the laminar boundary layer about a vertical plate in a uniform stream of fluid under a
convective surface boundary condition. In the analysis, we assumed that left surface of the plate
is in contact with a hot fluid while a stream of cold fluid flows steadily over the right surface
with a heat source that decays exponentially. Similarity variable method is applied to the
governing non-linear partial differential equations. The transformed into a set of coupled nonlinear
ordinary differential equations are solved numerically by applying shooting iteration
technique together with fourth order Runge-Kutta integration scheme. The effects of Prandtl
number, local Biot number, the internal heat generation parameter, thermal radiation, and the
local Grashof number on the velocity and temperature profiles are illustrated and interpreted in
physical terms. A comparison with previously published results in special case of the problem
shows an excellent agreement.
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