V3I7P73

Mathematical Modelling and Numerical Simulation of Time-Dependent Flow of a Viscous Reactive Fluid and their Application

Zayyanu M.^*, Dogondaji Z. A., Zayyanu S. Y., Saudat S.

Abstract

This study investigates an unsteady state Magnetohydrodynamic (MHD) free convection flow with the effects of Hartmann number and nonlinear heat generation. The study focuses on the coupled behavior of velocity and temperature fields in the presence of a transverse magnetic field. The governing partial differential equations for momentum and energy are formulated in dimensionless form and solved numerically using a finite difference method. The influence of key physical parameters such as the Hartmann Number (), Prandtl Number (), heat generation parameter (), activation energy parameter (), and thermal diffusion parameter () on velocity and temperature distributions is analyzed. The results shows that the magnetic field significantly suppresses fluid motion, while nonlinear heat generation enhances the temperature field. The study is relevant to engineering and industrial applications involving electrically conducting fluids, such as MHD generators, cooling of nuclear reactors, and metallurgical processes.

Keywords:

Magnetohydrodynamics (MHD), Unsteady Free Convection, Hartmann Number, Nonlinear Heat Generation, Finite Difference Method, Heat Transfer, Prandtl Number, Electrically Conducting Fluid.