Heat transfer in a liquid film over an unsteady stretching surface with viscous dissipation in presence of external magnetic field

被引:138
作者
Abel, M. Subhas [1 ]
Mahesha, N. [1 ]
Tawade, Jagadish [1 ]
机构
[1] Gulbarga Univ, Dept Math, Gulbarga 585106, Karnataka, India
关键词
Liquid film; Unsteady stretching surface; Similarity transformation; Viscous dissipation; Prandtl number; Magnetic parameter; POWER-LAW FLUID; VISCOELASTIC FLUID; FLOW; SHEET; THERMOCAPILLARITY; SUCTION;
D O I
10.1016/j.apm.2008.11.021
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper presents a mathematical analysis of MHD flow and heat transfer to a laminar liquid film from a horizontal stretching surface. The flow of a thin fluid film and subsequent heat transfer from the stretching surface is investigated with the aid of similarity transformation. The transformation enables to reduce the unsteady boundary layer equations to a system of non-linear ordinary differential equations. Numerical solution of resulting non-linear differential equations is found by using efficient shooting technique. Boundary layer thickness is explored numerically for some typical values of the unsteadiness parameter S and Prandtl number Pr, Eckert number Ec and Magnetic parameter Mn. Present analysis shows that the combined effect of magnetic field and viscous dissipation is to enhance the thermal boundary layer thickness. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码:3430 / 3441
页数:12
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