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

ISSN Print: 1940-2503
ISSN Online: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2012004125
pages 43-61

ON THE STEADY AND UNSTEADY ASPECTS OF COMBINED SORET EFFECT AND DOUBLE-DIFFUSIVE CONVECTION IN A BENARD SQUARE CAVITY SUBMITTED TO A HORIZONTAL GRADIENT OF CONCENTRATION

Mohamed Lamsaadi
Sultan Moulay Slimane university, Faculty of Sciences and Technologies, Physics Department, UFR of Sciences and Engineering of Materials, Team of Flows and Transfers Modelling (EMET), B.P. 523, Béni-Mellal, Morocco
Mohamed Naimi
Faculty of Sciences and Technologies, Physics Department, Laboratory of Flows and Transfers Modeling (LAMET), Sultan Moulay Slimane University, B.P. 523, Beni-Mellal, Morocco
H. El Harfi
Faculty of Sciences and Technologies, Physics Department, Laboratory of Flows and Transfers Modeling (LAMET), Sultan Moulay Slimane University, B.P. 523, Beni-Mellal, Morocco
Abdelghani Raji
Sultan Moulay Slimane university, Faculty of Sciences and Technologies, Physics Department, UFR of Sciences and Engineering of Materials, Team of Flows and Transfers Modelling (EMET), B.P. 523, Béni-Mellal, Morocco
Mohammed Hasnaoui
Cadi Ayyad University, Faculty of Sciences Semlalia, Physics Department, UFR TMF, Laboratory of Fluid Mechanics and Energetics (LMFE), B.P. 2390, Marrakech, Morocco

ABSTRACT

In this paper, a numerical study of the incidence of Soret effect on double-diffusive convection in a Benard square cavity submitted to a horizontal gradient of concentration is presented. The computations, which are limited to water-based solutions, are carried out for governing parameters; namely, the Lewis number, Le; Soret parameter, M; buoyancy ratio, N; Prandtl number, Pr; and thermal Rayleigh number, RaΤ; such that Le = 10, −111 ≤ M ≤ 122, −0.1 ≤ N ≤ 0.1, Pr = 7, and 5 × 104RaΤ ≤ 5 × 105. In such a situation it is possible to discover a wide variety of steady-state solutions that are stable up to a threshold value of M. The effect of M on the flow, temperature, and concentration fields and the resulting heat and mass transfers are analysed for given values of N and RaΤ. It is demonstrated that the heat and mass transfers could change significantly from one solution to another, depending on M. Moreover, particular attention is paid to the oscillatory behavior of the convection that appears for M in the ranges M < −50.2 (for vertical bicellular flow) and M < −23.8 (for horizontal bicellular flow) and at specific values of N and RaΤ.


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