Implementation Euler implicit scheme of unsteady magnetohydrodinamic micropolar fluid pass a sphere affected by mixed convection

Abstract

This paper considers the effect of mixed convection and magnetic field sphere in the unsteady magnetohydrodynamic micropolar fluid. For solving this problem, we develop dimensional governing equations from mass conservation law, energy conservation law, and Second Newton Law for momentum and angular momentum. We further convert them into non dimensional equations by using non dimensional variables. These non dimensional equations are further transformed into similarity equations using stream functions. Similarity equations are further solved numerically by implementing numerical method with euler implicit scheme. The result shows that the velocity and temperature will increase when parameter magnetic and mixed convection decrease. The higher magnetic parameter leads to higher microrotation of micropolar fluid particle. Whereas microrotation profile decrease with increasing mixed convection parameter.