MAGNETOHYDRODYNAMIC (MHD) FLOW AND HEAT TRANSFER OF ELECTRICALLY CONDUCTING MICROPOLAR FLUID IN A PARALLEL PLATE CHANNEL WITH INDUCED MAGNETIC FIELD

The flow of micropolar fluids has very wide practical applications. Starting from biomedical engineering (drug delivery and tissue engineering), through industrial processes (lubrication) to environmental engineering (wastewater treatment and enhanced oil recovery). Due to that, laminar and fully developed MHD flow of a micropolar fluid is considered, between plates that extend in the direction x and z, and are at a distance h from each other. An external magnetic field of intensity B acts perpendicular to the flow direction. Due to the electrically conducting micropolar fluid fluid flow and the effect of the external magnetic field, the internal magnetic field of intensity Bx is induced in the direction of the fluid flow. During the flow of micropolar fluid between the parallel plates, they will be maintained at constant and different temperatures. The considered physical model of micropolar fluid flow, defined by partial differential equations, was analytically transformed to ordinary differential equations and solved in closed form under physically appropriate boundary conditions. The obtained solutions were used for further flow analysis. The results of the analysis are presented in the form of graphs, on which the influence of the characteristic dimensionless parameters on the basic physical parameters of the micropolar fluid is given. Based on the analysis given in the paper, unambiguous conclusions can be drawn regarding the very nature of the flow of micropolar fluids, with special reference to the influence of the induced magnetic field.