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A numerical study of the transitions of laminar natural flows in a square cavity

Nouri, Sabrina and Ghezal, Abdelrahmane and Abboudi, Saïd and Spitéri, Pierre A numerical study of the transitions of laminar natural flows in a square cavity. (2017) Fluid Dynamics and Materials Processing journal, 14 (2). 121-135. ISSN 1555-256X

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Official URL: https://doi.org/10.3970/fdmp.2018.02045


This paper deals with the numerical study of heat and mass transfer occurring in a cavity filled with a low Prandtl number liquid. The model includes the momentum, energy and mass balance equations. These equations are discretized by a finite volume technique and solved in the framework of a custom SIMPLER method developed in FORTRAN. The effect of the problem characteristic parameters, namely the Lewis and Prandtl numbers, on the instability of the flow and related solute distribution is studied for positive and negative thermal and solutal buoyancy forces ratio. Nusselt and Sherwood numbers are derived for values of the Prandtl number ranging between 10-2 and 101 with the Lewis number spanning the interval 1-104. The results show unicellular and multi-cellular flows featured by solute and kinematic boundary layers with thickness depending on the Prandtl number.

Item Type:Article
HAL Id:hal-03463465
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 > Université des Sciences et de la Technologie Houari Boumediene - USTHB (ALGERIA)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Université de Technologie de Belfort-Montbéliard - UTBM (FRANCE)
Laboratory name:
Deposited On:11 Mar 2019 10:57

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