Group method analysis of magneto-elastico-viscous flow along a semi-infinite flat plate with heat transfer

Authors:
M. M. Helal;M. B. Abd-el-Malek
Affiliations:
Department of Engineering Mathematics and Physics, Faculty of Engineering, Zagazig University, Zagazig, Egypt;Department of Mathematics, School of Engineering and Science, The American University in Cairo, Cairo, 11511, Egypt and Department of Engineering Mathematics and Physics, Faculty of Engineering, A ...
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

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Abstract

The group theoretic method is applied for solving problem of the flow of an elastico-viscous liquid past an infinite flat plate in the presence of a magnetic field normal to the plate. The application of one-parameter transformation group reduces the number of independent variables, by one, and consequently the system of governing partial differential equations with boundary conditions reduces to a system of ordinary differential equations with appropriate corresponding conditions. Numerical solution of the velocity field and heat transfer have been obtained. The effect of the magnetic parameter M on velocity field, shear stress, temperature fields and heat transfer has been discussed.