Effects of Dufour and Modified Forchhemier for Hydromagnetic Free Convective Heat and Mass Transfer Flow along a Permeable Inclined porous Plate with Heat Generation and Thermophoresis

M.J Uddin,M Enamul Karim

doi:10.19026/rjaset.6.4179

Abstract

This study presents the numerical simulations to investigate the effects of the magnetic field parameter, Modified Forchhemier number, Prandtl number, Modified Darcy number, the Local Grashof number, the Dufour number and the Schmidt number on steady two-dimensional, laminar, hydromagnetic flow with heat and mass transfer over a semi-infinite, permeable inclined plate in the presence of thermophoresis and heat generation is carefully considered and equipped numerically. A similarity transformation is used to shrink the governing non-linear partial differential equations into ordinary differential equations. The obtained locally similar equations are then solved numerically by applying Nachtsheim-Swigert shooting iteration technique with sixth-order Runge-Kutta integration scheme. Comparisons with previously published study are performed and the results are found to be in very good agreement. Numerical results for the dimensionless velocity, temperature and concentration profiles are reported graphically as well as for the skin-friction coefficient, wall heat transfer and particle deposition rates are investigated for an assortment of values of the parameters inflowing into the problem.

Highlights

The problems of free convective and heat transfer flows through a porous medium under the influence of a magnetic field have been attracted the attention of a number of researchers because of their possible applications in many branches of science and technology, such as its applications in transportation cooling of re-entry vehicles and rocket boosters, crosshatching on ablative surfaces and film vaporization in combustion chambers
The velocity acquired by the particles is called the thermophoretic velocity and the force experienced by the suspended particles due to the temperature gradient is known as the thermophoretic force
In this study we have studied numerically the effects of thermophoresis and heat generation on hydromagnetic free convection heat and mass transfer flow past a continuously moving semi-infinite inclined permeable porous plate

Summary

Introduction

The problems of free convective and heat transfer flows through a porous medium under the influence of a magnetic field have been attracted the attention of a number of researchers because of their possible applications in many branches of science and technology, such as its applications in transportation cooling of re-entry vehicles and rocket boosters, crosshatching on ablative surfaces and film vaporization in combustion chambers. Flow through a porous medium have numerous engineering and geophysical applications, for example, in chemical engineering for filtration and purification process; in agriculture engineering to study the underground water resources; in petroleum technology to study the movement of natural gas, oil and water through the oil reservoirs. In view of these pragmatic applications, many researchers have studied MHD free convective heat and mass transfer flow in a porous medium; some of them are Raptis and Kafoussias (1982) and Kim (2004).

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