具有温度依赖粘度的多孔介质中流体稳态MHD对流的Dufour和soret效应:同伦分析方法

A.J. Omowaye, A.I. Fagbade, A.O. Ajayi
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引用次数: 27

摘要

本文提出了粘性不可压缩导电流体通过嵌入在多孔介质中的半无限移动渗透板的二维稳定磁流的解析解方法。假定流体的性质是恒定的,除了流体粘度随温度成反线性函数变化。利用相似变换将边界层方程转化为耦合的常微分方程。用同伦分析方法求解得到的耦合常微分方程。在控制相关物理参数的情况下,研究了Dufour和Soret的联合效应,并以图形表示。
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Dufour and soret effects on steady MHD convective flow of a fluid in a porous medium with temperature dependent viscosity: Homotopy analysis approach

This paper presents an analytical method of solution to steady two-dimensional hydromagnetic flow of a viscous incompressible, electrically conducting fluid past a semi-infinite moving permeable plate embedded in a porous medium. It is assumed that the fluid properties are constant except for the fluid viscosity which vary as an inverse linear function of temperature. The boundary layer equations are transformed in to a coupled ordinary differential equations with the help of similarity transformations. The resulting coupled ordinary differential equations were solved using the Homotopy Analysis Method (HAM). The combined effects of Dufour and Soret was investigated and presented graphically with controlling pertinent physical parameters.

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