Publication de 12 numéros par an
ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508
Indexed in
Soret and Double Diffusive Convection in a Porous Cavity
RÉSUMÉ
Natural convection in a rectangular porous medium filled with a binary fluid is studied analytically and numerically. The two vertical walls of the cavity are subject to constant gradients of temperature while the two horizontal ones are adiabatic and impermeable. Solutal gradients are assumed to be induced either by the imposition of constant gradients of concentration on the vertical walls (double-diffusive convection, a = 0) or by the Soret effect (a = 1). Governing parameters of the problem under study are the thermal Rayleigh number RT, buoyancy ratio φ, Lewis number Le, and aspect ratio of the cavity, A. An analytical solution, based on the parallel flow approximation, is reported for tall enclosures. The analysis reveals that there is a range of buoyancy ratios φ which yields up to three analytical solutions for a given set of governing parameters. The range of buoyancy ratios for the existence of multiple solutions is found to depend on the type of convection induced by the solutal gradients, i.e., on the constant a. In the range of the governing parameters considered in this study, good agreement is observed between the analytical predictions and a numerical solution of the full governing equations.
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Jiang C.G., Jaber T.J., Bataller H., Saghir M.Z., Simulation of Ludwig–Soret effect of a water–ethanol mixture in a cavity filled with aluminum oxide powder under high pressure, International Journal of Thermal Sciences, 47, 2, 2008. Crossref
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Er-Raki M., Hasnaoui M., Amahmid A., Mamou M., Soret effect on the boundary layer flow regime in a vertical porous enclosure subject to horizontal heat and mass fluxes, International Journal of Heat and Mass Transfer, 49, 17-18, 2006. Crossref
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Alloui Z., Vasseur P., Natural Convection Induced by a Centrifugal Force Field in a Horizontal Annular Porous Layer Saturated with a Binary Fluid, Transport in Porous Media, 88, 1, 2011. Crossref
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Robillard L., Bahloul A., Vasseur P., HYDROMAGNETIC NATURAL CONVECTION OF A BINARY FLUID IN A VERTICAL POROUS ENCLOSURE, Chemical Engineering Communications, 193, 11, 2006. Crossref
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Yahiaoui M. A., Bahloul A., Vasseur P., Robillard L., NATURAL CONVECTION OF A BINARY MIXTURE IN A VERTICAL CLOSED ANNULUS, Chemical Engineering Communications, 194, 7, 2007. Crossref
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Bahloul Ali, Boundary layer and stability analysis of natural convection in a porous cavity, International Journal of Thermal Sciences, 45, 7, 2006. Crossref
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Charrier-Mojtabi Marie-Catherine, Mojtabi Abdelkader, Double-Diffusive Convection in Porous Media, in Handbook of Porous Media, Second Edition, 2005. Crossref
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Jha Basant Kumar, Joseph Sylvester Bakut, Ajibade Abiodun Olusegun, Role of thermal diffusion on double-diffusive natural convection in a vertical annular porous medium, Ain Shams Engineering Journal, 6, 2, 2015. Crossref
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Khelifa Nabil Ben, Alloui Zineddine, Beji Hassen, Vasseur Patrick, Natural convection in a vertical porous cavity filled with a non-newtonian binary fluid, AIChE Journal, 58, 6, 2012. Crossref
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Nield Donald A., Bejan Adrian, Double-Diffusive Convection, in Convection in Porous Media, 2017. Crossref
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Nield Donald A., Bejan Adrian, Double-Diffusive Convection, in Convection in Porous Media, 2013. Crossref
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Ramambason D. S. Rakoto, Vasseur P., Influence of a magnetic field on natural convection in a shallow porous enclosure saturated with a binary fluid, Acta Mechanica, 191, 1-2, 2007. Crossref
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Bihiche K., Lamsaadi M., Hasnaoui M., Multiple steady state solutions for double-diffusive convection in a shallow horizontal rectangular cavity uniformly heated and salted from the side and filled with non-Newtonian power-law fluids, Journal of Non-Newtonian Fluid Mechanics, 283, 2020. Crossref
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Bouachir Amel, Mamou Mahmoud, Rebhi Redha, Benissaad Smail, Linear and Nonlinear Stability Analyses of Double-Diffusive Convection in a Vertical Brinkman Porous Enclosure under Soret and Dufour Effects, Fluids, 6, 8, 2021. Crossref
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Dubey Rashmi, Murthy P.V.S.N., Nonlinear stability of Prats flow in Brinkman porous medium with Soret effect, International Journal of Thermal Sciences, 179, 2022. Crossref
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Aouf Zakaria, Seladji Chakib, Thermosolutal Convection in a Porous Medium Cavity Subjected to Heat and Mass Flux: A Discrete Fracture Effect, Acta Universitatis Sapientiae, Electrical and Mechanical Engineering, 12, 1, 2020. Crossref