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

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.

Keywords: variable viscosity variable thermal conductivity stagnation point

Received: 13 August 2011
Revised: 27 April 2012
Accepted manuscript online:

PACS:	44.20.+b	(Boundary layer heat flow)
	44.30.+v	(Heat flow in porous media)
	44.40.+a	(Thermal radiation)

Cite this article:

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 2012 Chin. Phys. B 21 054701

[1]	Hiemenz K 1911 J. Dingl. Polytech. 326 321
[2]	Eckart E R G 1942 Die Berechnung des warmeuberg-angs in der laminaren Grenzschicht umstromter koper VDI Forsch 416
[3]	Ramachandran N, Chen T S and Armaly B F 1988 ASME J. Heat Trans. 110 373
[4]	Devi C D S, Tajhar H S and Nath G 1991 Heat Mass Trans. 26 71
[5]	Lok Y Y, Amin N, Campean D and Pop I 2005 Int. J. Num. Methods Heat Fluid Flow 15 654
[6]	Chiam T C 1994 J. Phys. Soc. Jpn. 63 2443
[7]	Mahapatra T R and Gupta A S 2001 Acta Mech. 152 191
[8]	Mahapatra T R and Gupta A S 2002 Heat Mass Trans. 38 517
[9]	Nazar R, Amin N, Filip D and Pop I 2004 Int. J. Nonlinear Mech. 39 1227
[10]	Nazar R, Amin N, Filip D and Pop I 2004 Int. J. Eng. Sci. 42 1241
[11]	Boutros Y Z, Abd-el Malek M B, Badran N A and Hassan H S 2006 Meccanica 41 681
[12]	Ishak A, Nazar R and Pop I 2006 Magnetohydrodynamics 42 17
[13]	Ishak A, Nazar R and Pop I 2006 Meccanica 41 509
[14]	Hossan M A and Takhar H S 1996 Heat Mass Trans. 31 243
[15]	Pop S R, Grosan T and Pop I 2004 Technische Mechanick 25 100
[16]	Layek G C, Mukhopadhyay S and Samad S K 2007 Int. Comm. Heat Mass Trans. 34 347
[17]	Dulal P 2009 Meccanica 44 145
[18]	Adrian P 2010 Heat Mass Trans. 46 831
[19]	Cebeci T and Bradshaw P 1984 Physical and Computational Aspects of Convective Heat Transfer (New York:Springer)
[20]	Chamkha A J 2004 Int. J. Eng. Sci. 42 217
[21]	Seddeek M A and Salama F A 2007 Comput. Mater. Sci. 40 186
[22]	Salem A M 2007 Phys. Lett. A 369 315
[23]	Hassanian L A and Alarabi T H 2009 Commun. Nonlinear Sci. Numer. Simulat. 14 1366
[24]	Ibrahim F S, Mansour M A and Hamad M A A 2005 Elect. J. Differential Eq. 39 1
[25]	Ibrahim F S, Mansour M A and Hamad M A A 2007 J. Egyption Math. Soc. 15 233
[26]	Pandey M, Pandey M B D and Sharma V D 2009 Appl. Math. Comp. 215 681
[27]	Jalil M, Asghar S and Mushtaq M 2010 Math. Prob. Eng. 2010 264901
[28]	Hamad M A A and Ismail A I 2010 Appl. Math. Sci. (in press)
[29]	Youssef Z B, Abdel-Malek M B, Badran N A and Hossam H S 2006 Meccanica 41 681
[30]	Prasad K V, Vajravelu K and Datti P S 2010 Int. J. Thermal Sciences 49 603
[31]	Layek G C, Mukhopadhyay S and Samad S K A 2006 Math. Modeling and Analysis 11 187
[32]	Na T Y 1979 Computational Method in Engineering Boundary Value Problems (New York:Academic press)
[33]	Gebhart B, Jaluria Y, Mahajan R L and Summakia B 1988 Buoyancy-Induced Flow and Transport (New York:Hemisphere Pub. Group)

[1]	Partial slip effect on non-aligned stagnation point nanofluid over a stretching convective surface S. Nadeem, Rashid Mehmood, Noreen Sher Akbar. Chin. Phys. B, 2015, 24(1): 014702.
[2]	Group solution for an unsteady non-Newtonian Hiemenz flow with variable fluid properties and suction/injection H. M. El-Hawary, Mostafa A. A. Mahmoud, Reda G. Abdel-Rahman, Abeer S. Elfeshawey. Chin. Phys. B, 2014, 23(9): 090203.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

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

Cite this article:

Online attention