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Prof. Reda Gamal Abd El –Rahman Khaled :: Publications:

Title:
Melting phenomenon in magneto hydro-dynamics steady flow and heat transfer over a moving surface in the presence of thermal radiation
Authors: Reda G. Abdel-Rahman, M. M. Khader, Ahmed M. Megahed
Year: 2013
Keywords: Lie group method; magneto hydro-dynamics; melting phenomenon; Newtonian fluid radiation; finite difference method
Journal: Chinese Physics B
Volume: 22
Issue: 3
Pages: 1674-1056
Publisher: Not Available
Local/International: International
Paper Link: Not Available
Full paper Not Available
Supplementary materials Not Available
Abstract:

The Lie group method is applied to present an analysis of the magneto hydro-dynamics (MHD) steady laminar flow and the heat transfer from a warm laminar liquid flow to a melting moving surface in the presence of thermal radiation. By using the Lie group method, we have presented the transformation groups for the problem with a part from the scaling group. The application of this method reduces the partial differential equations (PDEs) with their boundary conditions governing the flow and heat transfer to a system of nonlinear ordinary differential equations (ODEs) with appropriate boundary conditions. The resulting nonlinear system of ODEs is solved numerically using an implicit finite difference method (FDM). The local skin-friction coefficients and the local Nusselt numbers for different physical parameters are presented in a table.

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