COMPARATIVE STUDY OF MICROPOLAR FLUID FLOW BETWEEN TWO DISKS

Abstract

A comparative approach is used to analyze the steady flow of a micropolar fluid between two parallel stationary disks with permeable walls. In this study higher-order non-linear partial differential equations are transformed into a system of non-linear ordinary differential equations by using Von Karman’s similarity transformation. Analytical methods, Adomian Decomposition Method (ADM) and Homotopy Perturbation Method (HPM) are adopted to get the solution of obtained non-linear ordinary differential equations. The performance of the streamwise velocity, normal velocity components, and the microrotation for various numeric values of vortex-viscosity (m_1), spin-gradient viscosity (m_2), micro-inertia density (m_3), and suction Reynolds number (R_o)  have been presented graphically. The validity of results obtained by ADM and HPM are verified by numerical results. MATLAB software is used for the calculation of velocity and the microrotation components and numerical results.