多孔介质中的粘性流体在径向伸展薄片间作磁流体动力学流动时的Dufour和Soret效应

M·納瓦茲; T·哈亚特; A·阿尔舍德

doi:10.3879/j.issn.1000-0887.2012.11.006

多孔介质中的粘性流体在径向伸展薄片间作磁流体动力学流动时的Dufour和Soret效应

doi: 10.3879/j.issn.1000-0887.2012.11.006

空间技术学院人文与科学系,伊斯兰堡 44000,巴基斯坦;
真纳大学数学系,伊斯兰堡 44000,巴基斯坦;

详细信息

中图分类号: O361.3;O357.1
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出版历程
- 收稿日期: 2011-12-23
- 修回日期: 2012-06-26
- 刊出日期: 2012-11-15

Dufour and Soret Effects on MHD Flow of Viscous Fluid Between Radially Stretching Sheets in a Porous Medium

¹Department of Humanities and Sciences, Institute of Space Technology P.O.Box. 2750, Islamabad 44000, Pakistan;²Department of Mathematics, QuaidIAzam University 45320, Islamabad 44000, Pakistan;³Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 80253, Saudi Arabia

摘要

摘要: 在一个充满不可压缩、粘性、导电流体的多孔介质空间中，以两个无限伸展的薄片为边界，研究Dufour和Soret数对其间二维磁流体动力学稳定流动的影响，数学分析是在有粘性耗散、Joule热和一级化学反应下进行．通过适当的变换，将动量、能量和浓度定律所表示的偏微分控制方程组，变换为常微分方程组．利用同伦分析法（HAM）求解该方程组，保证了级数解的收敛性．分析了显现参数对无量纲速度、温度和浓度场的影响，同时对表面摩擦因数、Nusselt数和Sherwood数的影响进行了分析．
- 磁流体动力学流动 /
- 径向伸展 /
- Soret和Dufour效应 /
- 多孔介质 /
- 表面摩擦因数
Abstract: The Dufour and Soret effects on the two dimensional MHD steady flow of electrically conducting viscous fluid bounded by infinite sheets were examined. An incompressible viscous fluid filled the porous space. Mathematical analysis was performed in the presence of viscous dissipation, Joule heating and first order chemical reaction. By means of suitable transformations, the governing partial differential equations through momentum, energy and concentration laws were transformed into the ordinary differential equations. The resulting equations were solved by homotopy analysis method (HAM). Convergence of the series solutions was ensured. The effects of emerging parameters on the dimensionless velocities, temperature and concentration fields were analyzed. Skin friction coefficient, Nusselt number and Sherwood number were also analyzed.
- MHD flow /
- radial stretching /
- Soret and Dufour effects /
- porous medium /
- skin friction coefficient

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