Melting phenomenon in magneto hydro-dynamics steady flow and heat transfer over a moving surfacein the presence of thermal radiation

doi:10.1088/1674-1056/22/3/030202

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30202-030202.doi: 10.1088/1674-1056/22/3/030202

Melting phenomenon in magneto hydro-dynamics steady flow and heat transfer over a moving surfacein the presence of thermal radiation

Reda G. Abdel-Rahman, M. M. Khader, Ahmed M. Megahed

Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt

收稿日期:2012-07-04 修回日期:2012-08-27 出版日期:2013-02-01 发布日期:2013-02-01

Melting phenomenon in magneto hydro-dynamics steady flow and heat transfer over a moving surfacein the presence of thermal radiation

Reda G. Abdel-Rahman, M. M. Khader, Ahmed M. Megahed

Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt

Received:2012-07-04 Revised:2012-08-27 Online:2013-02-01 Published:2013-02-01
Contact: M. M. Khader E-mail:mohamedmbd@yahoo.com

摘要/Abstract

摘要： 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.

关键词: Lie group method, magneto hydro-dynamics, melting phenomenon, Newtonian fluid radiation, finite difference method

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.

Key words: Lie group method, magneto hydro-dynamics, melting phenomenon, Newtonian fluid radiation, finite difference method

中图分类号: (Lie algebras of Lie groups)

02.20.Sv

47.15.-x (Laminar flows) 44.40.+a (Thermal radiation) 44.10.+i (Heat conduction)

Reda G. Abdel-Rahman, M. M. Khader, Ahmed M. Megahed. Melting phenomenon in magneto hydro-dynamics steady flow and heat transfer over a moving surfacein the presence of thermal radiation[J]. 中国物理B, 2013, 22(3): 30202-030202.

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Melting phenomenon in magneto hydro-dynamics steady flow and heat transfer over a moving surfacein the presence of thermal radiation

Melting phenomenon in magneto hydro-dynamics steady flow and heat transfer over a moving surfacein the presence of thermal radiation

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