ANALYTICAL STUDY OF MICROPOLAR FLUID FLOW BETWEEN TWO POROUS DISKS

Abstract

The present article analyzesthe axisymmetric steady, incompressible and laminar flow of a micropolar fluid between two parallel stationary disks with uniform porosity where both disks are subjected to uniform suction. In this study higher-order, nonlinear partial differential equations are reconstructed into a system of nonlinear ordinary differential equations by using Von Karman’s similarity transformation. An analytical method,Homotopy Perturbation Method (HPM),is adopted to get the solution of obtained coupled nonlinear ordinary differential equations associated with boundary conditions. The behavior of the normal velocity, streamwise velocity components and the microrotation for severalparameters likesuction Reynolds number, vortex-viscosity, spin-gradient viscosity and micro-inertia densityhave been presented graphically. The validity of results obtained by HPM isverified by numerical results.The Maple software packageis usedfor calculation of velocity and the microrotation components.