ANALYTICAL AND NUMERICAL STUDY OF MICROPOLAR FLUID FLOW IN A POROUS PLATE DUE TO LINEAR STRETCHING

Year 2018, Volume: 36 Issue: 4, 1181 - 1196, 01.12.2018

Nozar Akbarı Mosayeb Gholınıa Saber Gholınıa Soheil Dabbaghıan Hossein Javadı Davood Domairry Ganjı

Abstract

In this research, micropolar fluid flow of a porous plate due to Linear stretching is analyzed. The basic partial differential equations are reduced to nonlinear ordinary differential equations which are solved using Homotopy Perturbation Method (HPM). Comparison between results of Flex-PDE software and analytical method of the issue illustrates excellent precision in solving the nonlinear differential equation. Furthermore, impact of injection and suction velocity (∅), coupling parameter between velocity field and micro-rotation field (ε), vortex viscosity parameter (β) on micro-rotation, and fluid velocity profiles are examined. Conclusions indicate that: by increasing the ε parameter, the f'(η) value decreases. Also, the shear stress F''(0) values are gradually reduced with increasing β, while the opposite trend is observed in H' (0) variations.

Keywords

Micropolar fluid flow, injection and suction, homotopy perturbation method (HPM), porous plate.

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