Abstract

An analysis of Thermophoresis effect on unsteady magneto-hydrodynamic free convection flow over an inclined porous plate with time dependent suction in presence of magnetic field with heat generation has been considered by employing Nachtsheim-Swigert shooting iteration technique along with sixth order Runge-Kutta integration scheme. Resulting non-dimensional velocity, temperature and concentration profiles are then presented graphically for different values of the parameters entering into the problem. Finally, the effects of the pertinent parameters on the skin-friction coefficient, the rate of heat transfer (Nusselt number) and wall deposition flux (Stanton number), which are of physical interest, are exhibited in tabular form.

Highlights

  • The free convection processes involving the combined mechanism of heat and mass transfer are encountered in many natural processes, in many industrial applications and in many chemical processing systems

  • An analysis of Thermophoresis effect on unsteady magneto-hydrodynamic free convection flow over an inclined porous plate with time dependent suction in presence of magnetic field with heat generation has been considered by employing Nachtsheim-Swigert shooting iteration technique along with sixth order Runge-Kutta integration scheme

  • Seddek [14] investigated finite element method for the effects of thermophoresis and chemical reaction on a boundary layer hydro magnetic flow with heat and mass transfer over a heat surface and found that the velocity, temperature and concentration profiles reduce with the increase of thermophoretic parameter

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Summary

Introduction

The free convection processes involving the combined mechanism of heat and mass transfer are encountered in many natural processes, in many industrial applications and in many chemical processing systems. Seddek [14] investigated finite element method for the effects of thermophoresis and chemical reaction on a boundary layer hydro magnetic flow with heat and mass transfer over a heat surface and found that the velocity, temperature and concentration profiles reduce with the increase of thermophoretic parameter. P. Arasu [19] analyzed the effects of thermophoresis particle deposition on non-Darcy MHD mixed convective heat and mass transfer past a porous wedge in the presence of suction or injection. The present paper is the investigation of the thermophoretic effects of an electrically conducting viscous incompressible fluid interaction with heat generation on the flow over an inclined porous plate in the presence of heat and mass transfer permitted by a transversely applied uniform magnetic field taking into account the Rosseland diffusion approximation. The investigation is based on known similarity analysis and the local similarity solutions are obtained numerically

Mathematical Analysis
C C C0 C δ 2n
Results and Discussion
Conclusions
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