Unsteady MHD Free Convective Flow Past an Inclined Parabolic Accelerated Plate with Hall Current, Radiation Effects and Variable Temperature in a Porous Medium

Gilbert Magiboi Nalisi

doi:10.11648/j.ijmfs.20170302.11

Abstract

We analyze the effects of hall current and radiation on unsteady hydromagnetic free convection flow of a viscous incompressible electrically conducting fluid past an inclined parabolic accelerated plate in a porous medium by applying a transverse magnetic field which makes an angle α to the inclined plate.The fluid is assumed to be viscous, incompressible and electrically conducting with a strong magnetic field. Using the modified Ohm’s law and the Bossinesq approximation the governing equations of the problem are reduced to local non-similarity boundary layer equations using suitable transformation.The dimensionless governing equations of flow field are solved numerically by Crank-Nicolson finite difference method for different values of governing flow parameters. The velocity and temperature profiles are shown through graphs.

Highlights

A current carrying conductor in a magnetic field experiences a force that tends to move it perpendicularly to the field
The problem of two-dimensional fluid flow in the presence of hall current and radiation effects under the influence of uniform magnetic field applied normal to the flow is formulated and solved numerically
It is found that increasing the Prandtl number results in a decrease in the temperature profile

Summary

Introduction

A current carrying conductor in a magnetic field experiences a force that tends to move it perpendicularly to the field. Sarkar B.C (2013) considered Hall effects on unsteady MHD free convective flow past an accelerated moving vertical plate with viscous dissipations. Amenya R.O. et al (2013) studied MHD free convection flow past a vertical infinite porous plate in the presence of transverse magnetic field with constant heat flux.Amos. M. (2015) considered viscous dissipation effects on MHD flow past a parabolic started plate with variable temperature and mass diffusion.Sharma G.K (2016) et al studied Unsteady Flow through Porous Media Past on Moving Vertical Plate with Variable Temperature in the Presence of Inclined Magnetic Field. Gaurav K.S et al (2016) considered unsteady flow through porous media past a moving vertical plate with variable temperature in the presence of inclined magnetic field. Continuity Equation incompressible, optically thin radiating fluid through a porous medium taking Hall current into account, under (1)

Energy Equation

Numerical Procedure

Result and Discussion

Conclusion