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Double Diffusive Convection in a Partially Porous Cavity under Suction/Injection Effects

Authors: Y. Outaleb, K. Bouhadef, O. Rahli


Double-diffusive steady convection in a partially porous cavity with partially permeable walls and under the combined buoyancy effects of thermal and mass diffusion was analysed numerically using finite volume method. The top wall is well insulated and impermeable while the bottom surface is partially well insulated and impermeable and partially submitted to constant temperature T1 and concentration C1. Constant equal temperature T2 and concentration C2 are imposed along the vertical surfaces of the enclosure. Mass suction/injection and injection/suction are respectively considered at the bottom of the porous centred partition and at one of the vertical walls. Heat and mass transfer characteristics as streamlines and average Nusselt numbers and Sherwood numbers were discussed for different values of buoyancy ratio, Rayleigh number, and injection/suction coefficient. It is especially noted that increasing the injection factor disadvantages the exchanges in the case of the injection while the transfer is augmented in case of suction. On the other hand, a critical value of the buoyancy ratio was highlighted for which heat and mass transfers are minimized.

Keywords: Double diffusive convection, Injection/Extraction, Partially porous cavity

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[1] D. B. Ingham, I. Pop, Transport Phenomena in Porous Media, Pergamon, Oxford,1998.
[2] K. Vafai, Handbook of Porous Media, Marcel Dekker, New York, 2000.
[3] I. Pop, D.B. Ingham, Convective Heat Transfer: Mathematical and Computational Modeling of Viscous Fluid and Porous Media, Pergamon, Oxford, 2001.
[4] M. Mharzi, M. Daguenet, S. Daoudi, "Thermosolutal natural convection in a vertically layered fluid-porous medium heated from the side". Energy Conversion and Management, Vol.41, pp.1065-1090, 2000.D. Seguin, "Etude expérimentale dans les milieux poreux", Thèse de Doctorat, EPSI de Nantes, 1997
[5] O. Rahli, K. Bouhadef, "Convection naturelle thermosolutale dans une cavité compartimentée par une cloison poreuse". 6éme Congrès de Mécanique, Tanger, 2003
[6] N. H. Saeid, I. Pop, "Transient free convection in a square cavity filled with porous medium", Int. J. Heat Mass Transfer 47 (2004) 1917-1924.
[7] E. Baez, A. Nicolas, "2D natural convection flows in tilted cavities: Porous media and homogeneous fluids". International Journal of Heat and Mass Transfer 49, pp4773-4785, 2006.
[8] R. Bennacer, A. Tobbal, H. Beji, & B. Vasseur, "Double diffusive convection in vertical enclosure filled with anisotropic porous media", Int. J. Therm. Sci. Vol. 40, pp 30-41, 2001.
[9] N. J. Rabadi., E. M. Hamdan, "Free convection from inclined permeable walls embedded in variable permeability porous media with lateral mass flux". Journal of Petroleum Science and Engineering 26, pp 241-251, 2000.
[10] 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 36, pp. 109-116, 2000.
[11] M. A. El Hakiem., "Combined convection in non-Newtonian fluid along a non-isothermal vertical plate in a porous medium with lateral mass flux". Heat and Mass Transfer 37, pp379- 385, 2001.
[12] B.V. Rathish Kumar, S.V.S.S.N.V.G. Krishna Murthy, "Mixed convection in a non-Darcian fluid saturated square porous enclosure under multiple suction effect" International Journal of heat and mass transfer, 53 (2010) 5764-5773.
[13] M. P. Cheng, "The influence of lateral mass flux on free convection boundary layers in saturated porous medium". International Journal of Heat and Mass Transfer 20, pp201-206, 1977.