UNSTEADY MHD CONVECTION FLOW AND HEAT
TRANSFER PAST A VERTICAL INCLINED PLATE IN
A POROUS MEDIUM WITH VARIABLE PLATE
TEMPERATURE WITH SUCTION IN A SLIP FLOW REGIME
George Buzuzi1, Addlight N. Buzuzi2
1,2Department of Mathematics and Physics
Cape Peninsula University of Technology
P.O. Box 1906, Bellville 7535, SOUTH AFRICA

Abstract

The objective of the present study is to investigate the unsteady MHD free convective flow and heat transfer past an inclined plate with cosinusoidally flactuating temperature with suction in a boundary layer slip flow regime. The non-linear coupled partial differential equations are solved by pertubation technique about a small pertubation parameter $\epsilon$. By employing the perturbation approach the solutions are obtained for velocity, temperature, skin friction and Nusselt number in terms of parameters like Prandtl number ($P_r$), magnetic parameter ($M$), plate inclination angle ($\alpha$), thermal Grashof number($G_T$), suction parameter $(A)$ and rarefaction parameter $(k_p)$ and are discussed through graphical and tabular representations. It is noted that the effect of the rarefaction parameter, inclination angle and Prandtl number is to decrease the skin friction. It is also noted that the velocity decreases with increasing inclination angle.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 32
Issue: 2
Year: 2019

DOI: 10.12732/ijam.v32i2.4

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