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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 0.7

ISSN Imprimer: 1940-2503
ISSN En ligne: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2012006451
pages 549-566

UNSTABLE ANISOTHERMAL MULTICOMPONENT CONVECTIVE FLOW: FROM SMALL TO LARGE SCALES

Rachid Bennacer
L2MGC F-95000, University of Cergy-Pontoise, 95031 Cergy-Pontoise Cedex, Paris, France; ENS-Cachan Dpt GC/LMT/CNRS UMR 8535, 61 Ave. du Président Wilson, 94235 Cachan Cedex, France; Tianjin Key Lab of Refrigeration Technology, Tianjin University of Commerce, 300134
Omar Rahli
Laboratoire LTPMP, Fac GMGP, USTHB, 16111, Bab Ezzouar, Algiers, Algeria
Haikel Ben Hammed
LTI, IUT Amiens, Avenue des Facultes, Le Bailly 80025 AMIENS, Cedex 1, France

RÉSUMÉ

The present document covers fundamental, academic, and practical topics. Indeed, the mixed convection in channels heated and cooled differentially has been studied in relation to several practical applications. Most interest in these flows are encountered in several domains to explain certain geological phenomena and atmospheric flows, and intervene in many industrial applications such as cooling of electronic appliances, plastics manufacturing, building sciences, moisture transfer, or in the chemical vapor deposition and other crystal growth techniques. It either permits simulation of pollution problems or storage of different fluid mixtures either in natural storage (traps structures) or in industrial tanks. Being bound by any such applications, the subject is currently open for exploration in order to enrich our knowledge of this complicated problem. We consider three-dimensional thermosolutal mixed convection with flow confined between two parallel and horizontal planes where the lower and upper surfaces are hot and cold, respectively. Such a configuration of convective flows is referred to as Poiseuille−Rayleigh−Benard, (PRB) which is based on the famous Rayleigh−Benard problem. In such a PRB configuration, the flow results from the superposition of two convective sources; i.e., the horizontal pressure gradient that causes the main flow within the duct and a vertical temperature and/or concentration gradient, which are the cause of thermoconvective structure formations. The stability diagram and the effect of the entrance domain on the exchanges are presented. We classify the different behaviors and we complete the classical stability analysis by linear stability on a bounded domain. The numerical results demonstrate explicitly the important effect of the entrance domain on the obtained solution and also on the resulting exchange (heat and mass).


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