Numerical solution of steady viscous flow of a micropolar fluid driven by injection between two porous disks

Abstract

Steady, laminar, incompressible and two-dimensional flow of a micropolar fluid between two porous coaxial disks is considered. To describe the working fluid, we use the micropolar model given by Eringen. The governing equations of motion are reduced to a set of non-linear coupled ordinary differential equations using Berman’s similarity transformation. The SOR iterative method is used to solve the differential equations numerically. For higher order accuracy, the results obtained are further refined and enhanced by Richardson’s extrapolation method. The results of micropolar fluids are compared on different grid sizes.