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Title: Thermosolutal Convection in a Shallow Layer of a Binary Fluid

Abstract

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.

Authors:
 [1];  [2];  [3]
  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)
Publication Date:
OSTI Identifier:
21361957
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1233; Journal 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; Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Alloui, Imene, Benmoussa, Hocine, and Vasseur, Patrick. Thermosolutal Convection in a Shallow Layer of a Binary Fluid. United States: N. p., 2010. Web. doi:10.1063/1.3452120.
Alloui, Imene, Benmoussa, Hocine, & Vasseur, Patrick. Thermosolutal Convection in a Shallow Layer of a Binary Fluid. United States. https://doi.org/10.1063/1.3452120
Alloui, Imene, Benmoussa, Hocine, and Vasseur, Patrick. 2010. "Thermosolutal Convection in a Shallow Layer of a Binary Fluid". United States. https://doi.org/10.1063/1.3452120.
@article{osti_21361957,
title = {Thermosolutal Convection in a Shallow Layer of a Binary Fluid},
author = {Alloui, Imene and Benmoussa, Hocine and Vasseur, Patrick},
abstractNote = {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.},
doi = {10.1063/1.3452120},
url = {https://www.osti.gov/biblio/21361957}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1233,
place = {United States},
year = {Fri May 21 00:00:00 EDT 2010},
month = {Fri May 21 00:00:00 EDT 2010}
}