Numerical Study on the Unsteady MHD Flow of Immiscible Non-Newtonian and Newtonian Fluids Through a Vertical Porous Pipe

Abstract

This research aims to investigate the mixed convective flow and heat transfer occurring within a vertical pipe filled with porous media, involving immiscible micropolar and Newtonian fluids. Additionally, the effects of magnetohydrodynamics are taken into account. To solve the coupled system of governing differential equations, the Crank-Nicolson finite difference numerical method is employed. Furthermore, Newton's method is utilized to address the nonlinear difference equations underlying the system. The study examines numerical results concerning fluid velocities, microrotation, and fluid temperatures across various engineering parameters. Moreover, the research delves into the variations observed in volumetric flow rate, skin friction coefficient, and Nusselt number.