Effects of Mass Transfer on Unsteady Hydromagnetic Convective Flow Past an Infinite Vertical Rotating Porous Plate with Heat Source

Thomas Mwathi Ngugi

doi:10.11648/j.ajam.20160403.11

Abstract

The effect of mass transfer on unsteady Hydromagnetic convective flow, of an incompressible electrically conducting fluid, past an infinite vertical rotating porous plate in presence of constant injection and heat source has been investigated. The non-linear partial differential equations governing the flow are solved numerically using the finite differences method. The effect of Hartmann's number, Grashof number for heat transfer, Grashof number for mass transfer, permeability parameter, Schmidt number, Heat source parameter, Prandtl number, Eckert number and rotational parameter on the flow field are presented graphically. A change on the parameters is observed to either increase, decrease or to have no effect on the profiles. The study has some useful information to engineers in the field of oil exploration, geothermal reservoirs, in petroleum and mineral industries, MHD generators, among many other areas.

Highlights

In the past research, researchers have studied a wide variety of flow problems. Subhas et al (2001) presented a numerical solution of two dimensional laminar boundary layer problems on free convection flow of an incompressible viscous-elastic fluid through a porous medium over a stretching sheet
It was observed among other things that the introduction of chemical species diffusion leads to an increase of horizontal velocity profile either when heating or cooling of the fluid
Rafael (2005) investigated fluid flow and heat transfer in a porous medium over a stretching surface with internal heat generation and by presence of suction, blowing and impermeability of the surface. He observed that velocity decreases and temperature increases with increasing permeability parameter

Summary

Introduction

Researchers have studied a wide variety of flow problems. Subhas et al (2001) presented a numerical solution of two dimensional laminar boundary layer problems on free convection flow of an incompressible viscous-elastic fluid through a porous medium over a stretching sheet. Rafael (2005) investigated fluid flow and heat transfer in a porous medium over a stretching surface with internal heat generation and by presence of suction, blowing and impermeability of the surface He observed that velocity decreases and temperature increases with increasing permeability parameter. Kinyanjui et al (1998) studied the MHD stokes problem for a vertical infinite plate in a dissipative rotating fluid with Hall current and they later investigated the effect of both Hall and Ion-slip currents on the flow of heat generating rotating fluid system They observed that for an Eckert value of 0.02, there was a decrease in the primary velocity profile with an increase in Rotational parameter. They observed that an increase in Hall parameter has no effect on the temperature profile but an increase in times causes an increase in the temperature profiles. Das et al (2006) estimated the mass transfer effects on unsteady flow past an accelerated vertical porous plate with suction employing finite difference analysis. Das et al (2007) investigated numerically the unsteady free convective MHD flow past an accelerated vertical plate with suction and heat flux. Naser and Elgazery (2008) analyzed numerically

Methods

Results

Conclusion