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Effects of internal heat generation, thermal radiation, and buoyancy force on boundary layer over a vertical plate with a convective boundary condition

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)

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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.

Item Type: Article
Uncontrolled Keywords: thermal radiation; buoyancy force; internal heat generation; vertical plate; Biot number; boundary layer.
Subjects: Q Science > Q Science (General)
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Dr Philip Oladapo Olanrewaju
Date Deposited: 27 Jun 2011 11:17
Last Modified: 13 Dec 2011 21:13
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/290

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