Thermosolutal Convection in a Shallow Layer of a Binary Fluid

Journal Article · Fri May 21 00:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3452120· OSTI ID:21361957

Alloui, Imene ^[1]; Benmoussa, Hocine ^[2]; Vasseur, Patrick ^[3]

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1. Universite Kasdi Merbah, BP 156 Rouissat Ouargla, 30130 (Algeria)
2. Universite Hadj Lakhdar, 1 rue Chahid Boukhlouf Batna, 05000 (Algeria)
3. Ecole Polytechnique, C.P. 6079, Succ 'Centre Ville' Montreal, Quebec, H3C 3A7 (Canada)

This paper reports an analytical and numerical study of the combined Soret and thermosolutal effects on natural convection in a shallow rectangular cavity filled with a binary mixture. Neumann boundary conditions for temperature and concentration are applied to the horizontal walls of the enclosure, while the two vertical ones are assumed impermeable and insulated. For convection in an infinite layer, analytical solutions for the stream function, temperature and concentration fields are obtained using a parallel flow approximation in the core region of the cavity and an integral form of the energy and constituent equations. The critical Rayleigh numbers for the onset of supercritical and subcritical convection are predicted explicitly by the present model. Numerical solutions of the full governing equations are obtained for a wide range of the governing parameters. A good agreement is observed between the analytical model and the numerical simulations.

• OSTI ID: 21361957
• Journal Information: AIP Conference Proceedings, Vol. 1233, Issue 1; Conference: 2. international symposium on computational mechanics; 12. international conference on the enhancement and promotion of computational methods in engineering and science, Hong Kong (Hong Kong); Hong Kong (Hong Kong), 30 Nov - 3 Dec 2009; 30 Nov - 3 Dec 2009; Other Information: DOI: 10.1063/1.3452120; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
36 MATERIALS SCIENCE
ANALYTICAL SOLUTION
APPROXIMATIONS
BINARY MIXTURES
BOUNDARY CONDITIONS
COMPUTERIZED SIMULATION
CRYSTAL GROWTH
DIFFERENTIAL EQUATIONS
HYDRODYNAMICS
LAYERS
NATURAL CONVECTION
NUMERICAL ANALYSIS
NUMERICAL SOLUTION
CALCULATION METHODS
CONVECTION
DISPERSIONS
ENERGY TRANSFER
EQUATIONS
FLUID MECHANICS
HEAT TRANSFER
MASS TRANSFER
MATHEMATICAL SOLUTIONS
MATHEMATICS
MECHANICS
MIXTURES
SIMULATION