Unsteady Natural Convective Flow Over an Impulsively Started Semi-Infinite Vertical Plate in the Presence of Porous Medium


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Abstract


The fundamental study of the phenomenon of natural convective heat and mass transfer near a vertical plate in the presence of porous medium is investigated. The fluids considered in the discussion are air and water. The unsteady, coupled, non-linear partial differential equations are solved numerically by Crank Nicolson scheme. The influence of various parameters like velocity, temperature and concentration are analyzed. The skin friction, the Nusselt number, the Sherwood number, average skin friction, average Nusselt number and average Sherwood number are also presented graphically for both air and water. It has been observed that velocity components increase with permeability parameter where as temperature and concentration decreases with it. An analysis is performed to check the stability and the convergence of the finite difference scheme which converges faster and unconditionally stable.
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Keywords


Finite Difference; Stability; Heat Transfer; Mass Transfer; Porous Medium

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References


G. G. Stokes, On the effect of internal friction of fluids on the motion of pendulums. Cambridge University Press, Vol. 3, pp. 8-126, 1851.

V. M. Soundalgekar, Free convection effects on the Stokes problem for an infinite vertical plate. Trans ASME journal of heat transfer, Vol. 99, pp. 499-501, 1977.

V. M. Soundalgekar, Effects of mass transfer and free convection currents on the flow past an impulsively started vertical plate. ASME J. Appl. Mech., Vol. 46, pp. 757-760, 1979.

R. Muthukumaraswamy, P. Ganesan, V. M. Soundalgekar, On flow and heat transfer of a viscous incompressible fluid past an impulsively started vertical isothermal plate. Int. J. Therm. Sci., Vol. 40, pp. 297-302, 2001.

R. Muthukumaraswamy, B. Janakiraman, MHD and radiation effects on moving isothermal vertical plate with variable mass diffusion. Theoret. Appl. Mech., Vol. 33, pp. 17-29, 2006.

R. Muthukumaraswamy, P. Ganesan, V. M. Soundalgekar, Heat and mass transfer effects on flow past an impulsively started vertical plate. Acta Mechanica, Vol. 146, pp.1-8, 2001.

A. Bejan, R. Khair, Heat and mass transfer by natural convection in a porous medium. Int. J. Heat Mass Transfer, Vol. 28, pp. 909-918, 1985.

A. Raptis, A. K. Singh, K. D. Rai, Finite difference analysis of unsteady free convective flow through a porous medium adjacent to semi infinite vertical plate. Mechanics Research Communications, Vol. 14, pp. 9-16, 1987.

V. M. Soundalgekar, Free convection effects on the oscillatory flow past an infinite vertical, porous plate with constant suction. Proc. R. Soc. Lond., Vol. 333, pp. 25-36, 1973.

D. A. Neild, A. Bejan, Convection in porous media, Springer Verlag, 1992.

R. Bradean, D. B. Ingham, P. J. Heggs, I. Pop, Free convection fluid flow due to a periodically heated and cooled vertical flat plat embedded in a porous media. Int. J. Heat Mass Transfer, Vol. 39, pp. 2545-2557, 1996.

E. Magyari, B. Keller, Exact analytic solutions for free convection boundary layers on a heated vertical plate with lateral mass flux embedded in a saturated porous medium. Heat and Mass Transfer, Vol. 36, pp. 109-116, 2000.

S. S. Saxena, G. K. Dubey, Unsteady MHD Heat and mass transfer free convection flow of polar fluid past a vertical moving porous plate in a porous medium with heat generation and thermal diffusion. Advances in Applied Science Research, Vol. 2, pp. 259-278, 2011.

Y. J. Kim, Unsteady MHD convection flow of polar fluids past a vertical moving porous plate in a porous medium. Int. J. of Heat and Mass Transfer, Vol. 44, pp. 2791-2799, 2001.

Y. J. Kim, J. C. Lee, Analytic studies on MHD oscillatory flow of a micropolar fluid over a vertical porous plate. Surface and coating technology, Vol. 171, pp.187-193, 2003.

Loganathan, P., Golden Stepha, N., Radiation and mass transfer effects on flow of micropolar fluid past a continuously moving plate with suction/injection, (2012) International Review of Mechanical Engineering (IREME), 6 (1), pp. 22-28.

H. Kou, D. Haung, Some transformations for natural convection on a vertical flat plate embedded in porous media with prescribed wall temperature. Int. Comm. Heat Mass Transfer, Vol.23, pp. 273-286, 1996.

M. Gnaneswara Reddy, N. Bhaskar Reddy, Unsteady MHD convective heat and mass transfer past a semi infinite vertical porous plate with variable viscosity and thermal conductivity. Int. J. of App. Math. and Comp., Vol. 1, pp. 104-117, 2009.

G. V. Ramana Reddy, Ch. V. Ramana Muthy, N. Bhaskar Reddy, Unsteady MHD free convection mass transfer flow of past an infinite vertical porous plate with variable suction and soret effect. Int. J. of Appl. Math and Mech., Vol. 7, pp. 70-84, 2011.

V. Ramachandra Prasad, N. Bhaskar Reddy, Radiation and mass transfer effects on an unsteady MHD convection flow past a semi infinite vertical permeable moving plate embedded in a porous medium with viscous dissipation. Indian Journal of Pure & Applied Physics, Vol .46, pp. 81-92, 2008.

Herrmann Schlichting, Boundary Layer Theory, (John Wiley and Sons, New York, 1969).

B. Carnahan, H. A. Luther, J. O. Wilkes, Applied Numerical methods, (John Wiley and Sons, New York, 1969).

U. N. Das, S. N. Ray, V. M. Soundalgekar, Mass transfer effects on flow past an impulsively started infinite vertical plate with constant mass flux – an exact solution. Heat and Mass Transfer, Vol. 31, pp. 163-167, 1996.

Sammouda, M., Gueraoui, K., Driouich, M., El Hammoumi, A., Brahim, A.I., The variable porosity effect on the natural convection in a non-darcy porous media, (2011) International Review on Modelling and Simulations (IREMOS), 4 (5), pp. 2701-2707.


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