VISCO-ELASTIC FLUID FLOW WITH HEAT AND MASS TRASNFER IN A VERTICAL CHANNEL THROUGH A POROUS MEDIUM
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Abstract
A theoretical study of two-dimensional free convective flow of a visco-elastic fluid through a porous medium bounded by a uniformly moving long vertical wavy wall and a parallel flat wall in presence of heat and mass transfer has been discussed. The solutions consist of two parts: a mean part and a perturbed part. To solve the perturbed part, long wave approximation has been applied and for the mean part, the well known approximation used by Ostrach has been utilized. Solutions for the velocity, temperature, concentration, and skin friction, rate of heat transfer and rate of mass transfer have been obtained. The results are discussed for the positive values of Grashof number for heat transfer (i.e. flow on externally cooled plate). The visco-elastic effects on velocity profile, temperature field, concentration field, skin friction are analyzed graphically with the combination of other flow parameters involved in the solution.
Key-words: Visco-elastic, Grashof number, heat and mass transfer, porous medium.
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References
S. Ostrach, Laminar natural convection flow and heat transfer of fluids with and without heat sources in channels with constant wall temperature, N. A. C. A. Tech. Note No. 2863, 1952.
S. G. Lekoudis, A. H. Nayfeh & W. S. Saric, Compressible boundary layers over wavy walls, Phys. Fluids, 19, 1976, 514-519.
P. N. Shankar and Sinha, U. N., The Rayleigh problem for a wavy wall, J. Fluid Mech., 77, 1976, 243-256.
M. Lessen and S. T. Gangwani, Effects of small amplitude wall waviness upon the stability of laminar boundary layer, Phys. Fluids, 19, 1976, 510-513.
K. Vajravelu, K. S. Sastri, The free convection heat transfer in a viscous incompressible fluid between a long vertical wavy wall and a parallel flat wall, J. Fluid Mech., 86, 1978, 365-383.
T. T. Hamadah and R. A. Wirtz, Free convection flow in vertical channel, ASME, J. Heat Transfer, 113, 1991, 507.
S. Ahmed and N. Ahmed, Free convection heat transfer in a viscous incompressible fluid between a uniformly moving long vertical wavy wall and a parallel flat wall, Far East J. Appl. Math., 8(2), 2002, 125-142.
K. D. Singh, Channel flow with transpiration cooling for ordinary medium, ZAMP, 50, 1990, 661-668.
K. D. Singh and R. Sharma, Three dimensional Couette flow through a porous medium with heat transfer, Indian J. Pure and Appl. Math., 32, 2, 2001, 1819-1829.
J. H. Jang and W. M. Yan and H. C. Liu, Natural convection heat and mass transfer along a vertical wavy surface, Int. J. Heat Mass Transfer, 46, 2003, 1075-1083.
J. H. Jang and W. M. Yan, Mixed convection heat and mass transfer along a vertical wavy surface, Int. J. Heat Mass Transfer, 47, 2004, 419-428.
K. D. Singh, M. G. Gorla and Hans Raj, A periodic solution of oscillatory Couette flow through a porous medium in rotating system, Indian J. Pure and Appl. Math., 36, 3, 2005, 151-159.
S. Ahmed and H. Deka, Free convective flow in a vertical channel through a porous medium with heat transfer, Int. J. Appl. Math., 21, 4, 2008, 671-684.
P. F. Fasogbon, Analytical studies of heat and mass transfer by free convection in a two-dimensional irregular channel, Int. J. Appl. Math and Mech., 6, 4, 2010, 17-37.
Kapur, J. N., Bhatt, B. S. and Sachbti, N. C. S. A., Non-Newtonain fluid flow, Pragati Prakashan, Meerut, 1st Ed., 1982.