Effects of variable properties on MHD heat and mass transfer flow near a stagnation point towards a stretching sheet in a porous medium with thermal radiation

doi:10.1088/1674-1056/21/5/054701

中国物理B ›› 2012, Vol. 21 ›› Issue (5): 54701-054701.doi: 10.1088/1674-1056/21/5/054701

Effects of variable properties on MHD heat and mass transfer flow near a stagnation point towards a stretching sheet in a porous medium with thermal radiation

A. M. Salem¹,Rania Fathy²

1. Department of Basic Science, Faculty of Computer & Informatics, Suez Canal University, Egypt;
2. Department of Mathematics, Faculty of Science, Zagazig University, Egypt

收稿日期:2011-08-13 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01

Effects of variable properties on MHD heat and mass transfer flow near a stagnation point towards a stretching sheet in a porous medium with thermal radiation

A. M. Salem^a)† and Rania Fathy^b)

a. Department of Basic Science, Faculty of Computer & Informatics, Suez Canal University, Egypt;
b. Department of Mathematics, Faculty of Science, Zagazig University, Egypt

Received:2011-08-13 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01

摘要/Abstract

摘要： The effect of variable viscosity and thermal conductivity on steady magnetohydrodynamic (MHD) heat and mass transfer flow of viscous and incompressible fluid near a stagnation point towards a permeable stretching sheet embedded in a porous medium are presented, taking into account thermal radiation and internal heat genberation/absorbtion. The stretching velocity and the ambient fluid velocity are assumed to vary linearly with the distance from the stagnation point. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The governing fundamental equations are first transformed into a system of ordinary differential equations using a scaling group of transformations and are solved numerically by using the fourth-order Rung--Kutta method with the shooting technique. A comparison with previously published work has been carried out and the results are found to be in good agreement. The results are analyzed for the effect of different physical parameters, such as the variable viscosity and thermal conductivity, the ratio of free stream velocity to stretching velocity, the magnetic field, the porosity, the radiation and suction/injection on the flow, and the heat and mass transfer characteristics. The results indicate that the inclusion of variable viscosity and thermal conductivity into the fluids of light and medium molecular weight is able to change the boundary-layer behavior for all values of the velocity ratio parameter λ except for λ=1. In addition, the imposition of fluid suction increases both the rate of heat and mass transfer, whereas fluid injection shows the opposite effect.

关键词: variable viscosity, variable thermal conductivity, stagnation point

Abstract: The effect of variable viscosity and thermal conductivity on steady magnetohydrodynamic (MHD) heat and mass transfer flow of viscous and incompressible fluid near a stagnation point towards a permeable stretching sheet embedded in a porous medium are presented, taking into account thermal radiation and internal heat genberation/absorbtion. The stretching velocity and the ambient fluid velocity are assumed to vary linearly with the distance from the stagnation point. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The governing fundamental equations are first transformed into a system of ordinary differential equations using a scaling group of transformations and are solved numerically by using the fourth-order Rung--Kutta method with the shooting technique. A comparison with previously published work has been carried out and the results are found to be in good agreement. The results are analyzed for the effect of different physical parameters, such as the variable viscosity and thermal conductivity, the ratio of free stream velocity to stretching velocity, the magnetic field, the porosity, the radiation and suction/injection on the flow, and the heat and mass transfer characteristics. The results indicate that the inclusion of variable viscosity and thermal conductivity into the fluids of light and medium molecular weight is able to change the boundary-layer behavior for all values of the velocity ratio parameter $\lambda$ except for $\lambda$=1. In addition, the imposition of fluid suction increases both the rate of heat and mass transfer, whereas fluid injection shows the opposite effect.

Key words: variable viscosity, variable thermal conductivity, stagnation point

中图分类号: (Boundary layer heat flow)

44.20.+b

44.30.+v (Heat flow in porous media) 44.40.+a (Thermal radiation)

A. M. Salem, Rania Fathy. Effects of variable properties on MHD heat and mass transfer flow near a stagnation point towards a stretching sheet in a porous medium with thermal radiation[J]. 中国物理B, 2012, 21(5): 54701-054701.

A. M. Salem and Rania Fathy . Effects of variable properties on MHD heat and mass transfer flow near a stagnation point towards a stretching sheet in a porous medium with thermal radiation[J]. Chin. Phys. B, 2012, 21(5): 54701-054701.

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Effects of variable properties on MHD heat and mass transfer flow near a stagnation point towards a stretching sheet in a porous medium with thermal radiation

Effects of variable properties on MHD heat and mass transfer flow near a stagnation point towards a stretching sheet in a porous medium with thermal radiation

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