Analytical study of the non orthogonal stagnation point flow of a micro polar fluid

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• 作者：M. Ali. Abbas^a ; Naeem Faraz^a ; ^b ; ; Yan-Qin Bai^a ; Yasir Khan^c
• 关键词：Micro polar fluid ; Hiemenz flow ; Homotopy perturbation method (HPM)
• 刊名：Journal of King Saud University - Science
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：29
• 期：1
• 页码：126-132
• 全文大小：660 K
• 卷排序：29

文摘

In this paper we consider the steady two dimensional flow of micro polar fluids on a flat plate. The flow under discussion is the modified Hiemenz flow for a micro polar fluid which occurs in the hjkns + skms boundary layer near an orthogonal stagnation point. The full governing equation reduced to a modified Hiemenz flow. The solution to the boundary value problem is governed by two non dimensional parameters, the material parameter K and the ratio of the micro rotation to skin friction parameter n. The obtained nonlinear coupled ordinary differential equations are solved by using the Homotopy perturbation method. Comparison between numerical and analytical solutions of the problem is shown in tables form for different values of the governing parameters K and n. Effects of the material parameter K on the velocity profile and microrotation profiles for different cases of n are discussed graphically as well as numerically. Velocity profile decreases as the material parameter K increases and the microrotation profile increases as the material parameter K increases for different cases of n.