Numerical simulation using the finite difference method for the flow and heat transfer in a thin liquid film over an unsteady stretching sheet in a saturated porous medium in the presence of thermal radiation

被引：1

作者：

Khader, M.M. ^{[1
]}

Megahed, Ahmed M. ^{[1
]}

机构：

[1] Department of Mathematics, Faculty of Science, Benha University, Benha

来源：

Journal of King Saud University - Engineering Sciences | 2013年 / 25卷 / 01期

关键词：

Finite difference method; Porous medium; Stretching surface; Thermal radiation; Thin film flow;

D O I：

10.1016/j.jksues.2011.10.002

中图分类号：

学科分类号：

摘要：

This paper is devoted to introduce a numerical simulation using finite difference method with the theoretical study for the problem of the flow and heat transfer over an unsteady stretching sheet embedded in a porous medium in the presence of a thermal radiation. The continuity, momentum and energy equations, which are coupled nonlinear partial differential equations are reduced to a set of two nonlinear ordinary differential equations, before being solved numerically using an implicit, iterative finite difference method (FDM). The accuracy of the proposed method is tested by performing various comparisons with previously published work and the results are found to be in an excellent agreement. The effects of various parameters like the Darcy parameter, the radiation parameter and the Prandtl number on the flow and temperature profiles as well as on the local skin-friction coefficient and the local Nusselt number are presented and discussed. © 2011

引用

页码：29 / 34

页数：5

共 24 条

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