Numerical Study on Transient Flow of Micropolar Fluid in a Non-Darcy Porous Medium in the Presence of Magnetic Field

Abstract

A computational analysis on transient magnetohydrodynamics micropolar fluid flow through a non-Darcy porous medium has been investigated. A computer code based on finite difference technique was developed in Fortran programming language with the objective to analyze the behavior of fluid flow in a porous medium for the non-Darcy case. Two-dimensional mathematical model of the problem has been utilized to obtain the non-similar solutions. The finite difference technique was used to explicitly solve the dimensionless equations of fluid velocity, temperature, angular velocity, and concentration to study the behavior of the system for various parameters. In addition, the stability of the system has been performed and obtained that the system converged for the values of Prandtl and Schmidt number greater than and equal to 0.03. The behavior of the system was studied for non-dimensional time ranging from 0 to 80 for a small-time step of 0.005. The most significant influence of various parameters on fluid velocity, temperature, angular velocity, and concentration profiles within the boundary layer have represented graphically and discussed qualitatively. It was found that the system reached to a steady state at the time greater than or equal to 75.