Differential transformation method for studying flow and heat transfer due to stretching sheet embedded in porous medium with variable thickness, variable thermal conductivity,and thermal radiation

M.M.KHADER; A.M.MEGAHED

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Differential transformation method for studying flow and heat transfer due to stretching sheet embedded in porous medium with variable thickness, variable thermal conductivity,and thermal radiation

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This article presents a numerical solution for the flow of a Newtonian fluid over an impermeable stretching sheet embedded in a porous medium with the power law surface velocity and variable thickness in the presence of thermal radiation. The flow is caused by non-linear stretching of a sheet. Thermal conductivity of the fluid is assumed to vary linearly with temperature. The governing partial differential equations(PDEs) are transformed into a system of coupled non-linear ordinary differential equations(ODEs) with appropriate boundary conditions for various physical parameters.The remaining system of ODEs is solved numerically using a differential transformation method(DTM). The effects of the porous parameter, the wall thickness parameter, the radiation parameter, the thermal conductivity parameter, and the Prandtl number on the flow and temperature profiles are presented. Moreover, the local skin-friction and the Nusselt numbers are presented. Comparison of the obtained numerical results is made with previously published results in some special cases, with good agreement. The results obtained in this paper confirm the idea that DTM is a powerful mathematical tool and can be applied to a large class of linear and non-linear problems in different fields of science and engineering.

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《应用数学和力学：英文版》 |2014年第11期|1387-1400|共14页
作者
M.M.KHADER; A.M.MEGAHED;
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作者单位

Department of Mathematics and Statistics;

College of Science;

Al-Imam Mohammad Ibn Saud Islamic University (IMSIU);

Department of Mathematics;

Faculty of Science;

Benha University;

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原文格式 PDF
正文语种 chi
中图分类化学流体力学;
关键词
Newtonian fluid; stretching sheet; differential transformation method(DTM); thermal radiation; variable thermal conductivity; variable thickness;

Differential transformation method for studying flow and heat transfer due to stretching sheet embedded in porous medium with variable thickness, variable thermal conductivity,and thermal radiation

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