Soret Effects in a Mhd Free Convective Flow Through a Porous Medium Bounded by an Infinite Vertical Porous Plate with Constant Heat Flux

Soret Effects in a Mhd Free Convective Flow Through a Porous Medium Bounded by an Infinite Vertical Porous Plate with Constant Heat Flux

D. Sarma* K.K. Pandit N. Ahmed

Department of Mathematics, Cotton College, Guwahati-781001, Assam, India

Department of Mathematics, Cotton College, Guwahati-781001, Assam, India

Dcpartment of Mathematics, Gauhati University, Guwahati-781014; Assam, India

Corresponding Author Email: 
dipaksarma11@yahoo.com
Page: 
65-70
|
DOI: 
https://doi.org/10.18280/ijht.320110
| | | | Citation

OPEN ACCESS

Abstract: 

An attempt has been made to investigate the Soret effects in a MHD free Convective Flow through a porous medium bounded by an infinite vertical porous plate with constant heat flux and a magnetic field of uniform strength is applied perpendicular to the plate. The governing equations are solved by regular perturbation technique. The expressions for the velocity distribution, temperature field, skin friction, and species concentration are obtained and the effects of the different parameters namely Soret number Sr. Hartmann number M, Grashof number for heat transfer Gr, Grashof number for mass transfer Gm, Prandtl number Pr on these fields are demonstrated graphically and the results are discussed. Increasing the Soret number Sr increases the velocity profile, temperature and concentration.

Keywords: 

MHD, electrically conducting, free convection, soret effect, permeability

1. Introduction
2. Mathematical Analysis
3. Results and Discussion
4. Conclusions
Nomenclature
  References

[1] Gebhart, B. and Pera, L. (1971): The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion, Int. J. Heat Mass Transfer, 14, pp. 2025.

[2] Soundalgekar, V.M. (1976): Effects of mass transfer on free convective flow of a dissipative incompressible fluid past an infinite vertical porous plate with suction, Pro. Indian Acad. Sci., 84(A), pp. 194.

[3] Acharya, M., Dash, G.C. and singh, L.P. (2000): Magnetic field effects on the free convection and mass transfer flow through porous medium with constant suction and constant heat flux, Indian J. pure appl. Math. 31(1), pp. 1-18.

[4] Raptis, A. and Kefousias, N.G. (1982): Magnetohydrodynamic free convection flow and mass transfer through a porous medium bounded by an infinite vertical porous plate with constant heat flux, Can. J. Phys., 60. Pp. 1725-1729.

[5] Darcy, H.P.G. (1856): Les Fontains publiques de la Ville de Dijon, Victor Dalmont, Parics.

[6] Wooding, R.A. ( 1957): Steady state free thermal convection of liquid in a saturated permeable medium. J. Fluid Mech., 2. Pp. 273-285.

[7] Brinkman, H.C. (1947a): A calculation of the viscous force exerted by a flowing fluid on a dense warm of particles, Appl. Sci Res., Al, pp. 27-34(1.5 .3).

[8] Sattar, M. A. and Alam, M. (1994): Thermal diffusion as well as transpiration effects on MHD free convection and mass transfer flow past an accelerated vertical porous plate, Indian J. Pure Appl. Math., 25(6); pp. 679-688.

[9] Ahmed, N. and Kalita, D (2009): Effect of thermal diffusion and magnetic field on an unsteady free convection flow with mass transfer through a porous medium in presence of a heat source, Int. J. of Math. Sci. & Engg. Appl., 3(2), pp. 267-287.

[10] Ferdows, M. and Chen, C. H. ( 2009 ): Heat and mass transfer on MHD free convection from a vertical plate in a porous medium with Dufour and Soret effects, Int. J. of Heat and Tech., 27(2), pp. 31-36.

[11] Jafari, M., Ghasemi, B., Raisi A. and Aminossadati S.M. ( 2010): Natural convection in two porous media separated by a solid wall, Int. J. of Heat and Tech., 28(1), pp. 95-102.