Homotopy analysis solution of MHD slip flow past an exponentially stretching inclined sheet with Soret-Dufour effects

C.S. Sravanthi
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引用次数: 24

Abstract

An analysis of steady MHD (magnetohydrodynamic) two dimensional free convective heat and mass transfer boundary layer flow of a viscous fluid towards an exponentially stretching inclined porous sheet in the presence of thermal radiation, Soret and Dufour effects with suction/blowing is presented. The Rossland approximation is used to describe the radiative heat transfer in the limit of optically thick fluids. Velocity slip, thermal slip and concentration slip are considered instead of no-slip condition at the boundary. Similarity transformations are used to convert the governing partial differential equations into non-linear ordinary differential equations. The resulting non-linear system has been solved analytically using an efficient technique namely homotopy analysis method (HAM). Expressions for velocity, temperature and concentration fields are developed in series form. The obtained results are presented through graphs for several sets of values of the parameters and salient features of the solutions are analyzed. A comparison of our HAM results with the available numerical results in the literature (obtained by Runge–Kutta and shooting methods) shows that our results are accurate for wide range of values of the parameters.

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具有Soret-Dufour效应的MHD滑移流通过指数拉伸倾斜板的同伦分析解
本文分析了在吸力/吹风作用下,粘性流体在热辐射、Soret和Dufour效应作用下向指数拉伸倾斜多孔板流动的二维自由对流换热传质边界层的稳态磁流体力学问题。用罗斯兰近似描述了光厚流体极限下的辐射传热。以速度滑移、热滑移和浓度滑移代替边界处的无滑移条件。利用相似变换将控制偏微分方程转化为非线性常微分方程。利用一种有效的技术——同伦分析法(HAM)对非线性系统进行了解析求解。速度场、温度场和浓度场的表达式采用串联形式。用图表示了几组参数值的结果,并分析了解的显著特征。将我们的结果与文献中可用的数值结果(龙格-库塔法和射击法)进行比较,结果表明,我们的结果在很宽的参数值范围内是准确的。
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