Periodic magnetohydrodynamic natural convection flow of a micropolar fluid with radiation

Abstract

This article is concerned with the problem of periodic magnetohydrodynamic (MHD) natural convection boundary-layer flow of a radiating micropolar fluid near a vertical surface. Such type of problems are posed by induction electromagnetic pumps and generators. The governing equations are reduced to a convenient form by the introduction of stream function formulations and are simulated by the implicit finite difference method along with the Keller-box scheme. The results of the surface shear stress, rate of heat transfer, distribution of couple stress, velocity profile, temperature profile and angular velocity profile are shown graphically for a range of parameters. Excellent agreement is found when present solutions are compared with the previous studies. It is shown that the heat transfer rate remains insensitive when magnetic field parameter, micropolar parameter and micro-inertia density parameter increases. Further, the micropolar parameter, K, has dominant effect on skin friction coefficient and couple stress coefficient.