Analysis of Magnetic Field between Two Different Permeable Membranes with Two Immiscible Fluids

In this paper the couette flow of two immiscible fluid flows passing through a parallel channel with isothermal wall in the presence of magnetic field has been investigated. The lower permeable membrane consists of predetermined thickness with large permeability and the upper membrane consists of unlimited thickness with small permeability. The flow in the lower permeable membrane is explained by using Brinkman equation and the flow in the upper permeable membrane is characterized by Darcy's law. Here the Navier-Stokes equations are used to govern the flow between the two membranes. The velocity in the presence of magnetic field of the fluids is calculated and the solution is obtained. The effects of different types of parameters like, Darcy number, Reynolds number, Viscosity ratio, the magnetic field, Slip parameter, etc. on the velocity field have been solved graphically, numerically and analyzed quantitatively.