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Numerical study of thermosolutal convection with Soret effect in a square cavity

Kaffel Rebaï, Leila and Mojtabi, Abdelkader and Safi, Mohamed Jomâa and Mohamad, Abdulmajeed A. Numerical study of thermosolutal convection with Soret effect in a square cavity. (2008) International Journal of Numerical Methods for Heat & Fluid Flow, 18 (5). 561-574. ISSN 0961-5539

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Official URL: https://doi.org/10.1108/09615530810879710


Purpose – The purpose of this paper is to present a numerical and an analytical study of the thermohaline convection with Soret effect in a square enclosure filled with a binary fluid mixture. Design/methodology/approach – The horizontal boundaries of the enclosure are impermeable and heated from below while its vertical walls are assumed to be adiabatic and impermeable. The Navier‐Stokes equations under the Boussinesq‐Oberbeck approximation are solved numerically. The results are given for different values of the separation ratio. The critical Rayleigh number at the onset of convection is determined analytically and numerically. The Hopf frequency at the onset of convection is obtained. Findings – The existence of two stable stationary bifurcation branches is illustrated. Furthermore, it is shown that the existence of stable traveling waves in the transition from one branch to the other depends on the value of the separation ratio. For some values of Rayleigh number, asymmetric flows are observed. A good agreement is found between the numerical solution and analytical analysis. Originality/value – The present work is the first to consider thermosolutal convection with Soret effect in a square enclosure.

Item Type:Article
HAL Id:hal-01946081
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > University of Calgary - U of C (CANADA)
Other partners > Université de Tunis - El Manar (TUNISIA)
Laboratory name:
Deposited On:05 Nov 2018 15:18

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