Abstract

The present numerically study investigates the influence of the Hall current and constant heat flux on the Magneto hydrodynamic (MHD) natural convection boundary layer viscous incompressible fluid flow in the manifestation of transverse magnetic field near an inclined vertical permeable flat plate. It is assumed that the induced magnetic field is negligible compared with the imposed magnetic field. The governing boundary layer equations have been transferred into non-similar model by implementing similarity approaches. The physical dimensionless parameter has been set up into the model as Prandtl number, Eckert number, Magnetic parameter, Schmidt number, local Grashof number and local modified Grashof number. The numerical method of Nactsheim-Swigert shooting iteration technique together with Runge-Kutta six order iteration scheme has been used to solve the system of governing non-similar equations. The physical effects of the various parameters on dimensionless primary velocity profile, secondary velocity profile, and temperature and concentration profile are discussed graphically. Moreover, the local skin friction coefficient, the local Nusselt number and Sherwood number are shown in tabular form for various values of the parameters.

Highlights

  • Hall current has important contribution in the study of Magneto hydrodynamic (MHD) viscous flows

  • Aboeldahab and Elbarbary [6] studied the effect of the Hall current on the MHD free convection flow in the presence of foreign species over a vertical surface, where the flow is subjected to a strong external magnetic field

  • The effect of viscous incompressible fluid flow about an inclined plate with hall current is analyzed in the present study for constant heat flux

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Summary

Introduction

Hall current has important contribution in the study of MHD viscous flows. It has many applications in problems of the Hall accelerators as well as in the flight MHD. Hossain et al [10] investigated the natural convection flow from a vertical permeable flat plate with the variable surface temperature, considering the temperature and transpiration rates to follow the power-law variation. Saha et al [11] studied the effect of Hall current on the steady laminar natural convection boundary layer flow of MHD viscous and incompressible fluids. Saha et al [12] examined the effect of Hall current on MHD natural convection flow from vertical permeable flat plate with uniform surface heat flux. In this study MHD Free Convection and Mass Transfer Flow of Viscous Incompressible Fluid about an inclined Plate with Hall Current and Constant Heat Flux is investigated

Mathematical Analysis
Results and Discussions
Conclusions
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