Dufour and Soret Effect on Unsteady MHD Free Convection and Mass Transfer Flow Past an Impulsively Started Vertical Porous Plate Considering with Heat Generation

Document Type : Full Lenght Research Article




The erratic natural convection and mass transit flow of a viscous incompressible as well as electrically conducting fluid over an impetuously started immeasurable vertical flat plate immersed in the porous medium may occur in many engineering applications. By virtue of these various applications, in the present article, we have considered Soret and Dufour effects on erratic Magnetohydrodynamic natural convection fluid flow. With aid of similarity transformation, the partial differential equations of the flow, which are non - linear, are converted into a group of ordinary differential equations. Later on, those equations are linearized and solved by making use of numerical technique called implicit finite difference method. The derived results of velocity, temperature and concentration profiles are demonstrated through graphs for various values of the physical parameters, which influences the fluid flow. The temperature distribution of the fluid increases with increase in Dufour number, whereas the concentration profiles decreases with the increase in Dufour number or decrease in Soret number.Lastly, the impact of various parameters on local-skin friction, local-Nusselt number, and local-Sherwood number are also presented in the tabular form.


Main Subjects

[1]   Aboeldahab, E. M.  and Elbarbary, E. M. E., 2001, ‘Hall current effect on Magneto hydrodynamic Free Convection Flow Past A Semi-Infinite vertical Plate with Mass Transfer’ INT. J. ENGNG. SCI., vol. 39, pp.1641-165
[2]   Anghel, M., Takhar, H. S.  and Pop. I, 2000, ‘Dufour and Soret effects on Free Convection Boundary layer Over a Vertical Surface Embedded in a Porous Medium’, STUDIA UNIVERSITATIS BABES-BOLYAI, MATHEMATICA, vol. XLV, pp. 11-21.
[3]   Eckert, E. R. G. and Drake, R. M., 1972,  ‘Analysis of Heat and Mass Transfer’, MCGRAW-HILL, NEW YORK.
[4]   Hasimoto, H. 1956, ‘Boundary Layer Growth on a Flat plate with Suction or injection’, J. PHYS. SOC. JAPAN., vol. 12,  pp.68-72.
[5]   Jha, B. K. and Singh, A. K. 1990, ‘Soret Effects on Free Convection and Mass transfer flow in the Stokes Problem for an Infinite vertical plate’ ASTROPHYS. SPACE SCI., vol. 173, pp.251-255.
[6]   Kafoussias, N. G.,1992, ‘MHD Thermal-Diffusion Effects on Free convective and Mass Transfer Flow over an infinite vertical moving plate’, ASTROPHYS. SPACE SCI., vol.192, pp.11-19.
[7]   Kafoussias, N. G.  and Williams, E. W., 1995, ‘Thermal-diffusion and Diffusion-thermo Effects on Mixed free forced convective and Mass Transfer boundary layer flow with the temperature dependent viscosity’, INT. J. ENGNG. SCI., vol. 33, pp.1369-1384.
[8]   Kim, Y. J. 2004, ‘Heat and Mass Transfer in MHD Micro polar flow over a vertical moving porous medium’, TRANSPORT IN POROUS MEDIA, vol. 56,  pp.17-37.
[9]   Megahead, A. A., KOMY, S. R. and Afify, A. A., 2003, ‘Similarity Analysis in Magneto hydrodynamics Hall Effects on Free convection flow and Mass Transfer past a Semi-Infinite vertical flat plate’, INER. JOUR. NON-LINEAR MECHA., vol. 38, pp.513-520.
[10] Postelnicu, A., 2004, ‘Influence of a Magnetic field on Heat and Mass transfer by Natural Convection from vertical surfaces in porous media considering Soret and Dufour Effects’, INT. J. HEAT MASS TRANSFER, vol. 47, pp.1467-1472.
[11] Rahman, M. M. and Sattar, M. A.,1999, ‘MHD free convective and Mass transfer flow with Oscillatory plate velocity and constant Heat source in a rotating frame of reference’, DHAKA UNIV. J. SCI., vol. 49(1),  pp.63-73.
[12] Raptis, A. and Kafoussias, N.G.,1982, ‘Magneto hydrodynamics free convection flow and Mass transfer through porous medium bounded by an infinite vertical porous plate with constant Heat flux’, CAN. J. PHYS., vol. 60, pp.1725-1729.
 [13] Sattar, M. A. and Hossain, M. M., 1992, ‘Unsteady Hydro magnetic free convection flow with Hall Current and Mass transfer along an accelerated porous plate with time dependent temperature and concentration’, CAN. J. PHYS., vol. 70,  pp.68-72.
[14] Sattar, M. A., Rahman, M. M. and Alam, M. M., 2000, ‘Free convection flow and Heat Transfer through a porous vertical flat plate immersed in a porous medium with variable suction’, J. ENERGY HEAT AND MASS TRANSFER, vol. 22,  pp. 17-21.
[15] Schlichting, H., 1968, ‘Boundary Layer Theory’, 6th Edition, MCGRAW-HILL, NEW YORK.
[16] Soundalgekar, V. M. 1977, ‘Free convection effects on the Stokes Problem for an infinite vertical plate, ASME J. Heat Transfer’, vol. 99, pp.499-501.
[17] Stokes, G. G., 1856, ‘On the Effects of the Internal Friction of fluids on the motion of pendulum’, TRANS. COMBR. PHIL. SOC., vol.9,  pp.8-106.
[18] Takhar, H. S., Roy, S. and Nath, G., 2003, ‘Unsteady Free convection flow over an infinite porous plate due to the combined effects of thermal and mass diffusion, magnetic field and Hall Currents’, HEAT AND MASS TRANSFER, vol. 39, pp.825-834.
[19] Yih, K. A., 1999, ‘Free convection effect on MHD coupled Heat and Mass transfer of a moving permeable vertical surface’, INT. COMM. HEAT MASS TRANSFER, vol. 26,  pp. 95-104.