Hydrodynamic Radiating Fluid Flow Past an Infinite Vertical Porous Plate in Presence of Chemical Reaction and Induced Magnetic Field

Kibet Kiprop

doi:10.11648/j.ajam.20160402.11

Abstract

An investigation of the unsteady magnetohydrodynamic fluid flow with heat and mass transfer of a viscous, incompressible, electrically conducting and Newtonian fluid past a vertical plate embedded in a porous medium taking into account induced magnetic field, first order chemical reaction and thermal radiation effect is carried out. The dimensionless governing coupled, non-linear boundary layer partial differential equations are solved by an efficient and unconditionally stable finite difference scheme of the Crank-Nicholson type. A computer software is used to iteratively solve the partial differential equations. The numerical solutions for fluid velocity, induced magnetic field, species concentration and fluid temperatures are depicted graphically. The effect of various non-dimensional parameters on the fluid flow profiles are discussed and physical interpretation given. Applications of the study include laminar magneto aerodynamics, materials processing and MHD propulsion thermo-fluid dynamics.

Highlights

A fluid is a substance that continually flows under applied shear stress, regardless of its magnitude
The flow past a vertical plate has been studied by various researchers due to varied applications in MHD generators, plasma studies etc
Since the problem has been non-dimensionalized, the default values are chosen which are used to determine the changes which will bring to the fluid flow

Summary

Introduction

A fluid is a substance that continually flows under applied shear stress, regardless of its magnitude. The MHD problem is of great interest in current trends in mathematical modelling This is due to its many applications in engineering problems e.g. MHD generators, plasma studies. The flow past a vertical plate has been studied by various researchers due to varied applications in MHD generators, plasma studies etc. The natural convection flow of a conducting visco-elastic liquid between two heated vertical plates under the influence of transverse magnetic field has been studied by Sreehari Reddy et al [7]. In all these investigations, the viscous dissipation is neglected. The viscous dissipation heat in the natural convective flow is important, when the flow field is of extreme size or at low

Methods

Results

Conclusion