Investigation of micropolar fluid flow between a porous disk and a nonporous disk using efficient computational technique

Abstract

In this paper, steady, laminar, incompressible, and two-dimensional micropolar flow between a porous disk and a nonporous disk is considered. By introducing suitable similarity transformations, the problem is reduced to a set of nonlinear boundary value problems. Optimal homotopy asymptotic method is employed to obtain the series solutions for velocity and microrotation distribution. The accuracy of results is examined by the fourth-order Runge–Kutta numerical method. The results are presented to study the velocity and rotation profiles for different physical parameters such as: Reynolds number, vortex viscosity parameter, spin gradient viscosity, and microinertia density parameter. As a result, the magnitude of the injection velocity has strong influence on the flow velocities and the microrotation.