The linear stability of a plane layer with horizontal temperature and concentration stratification corresponding to gradient zone of a solar pond is investigated. The problem is described by Navier-Stokes equations with Boussinesq-Oberbeck approximation. Two source terms are introduced in the energy equations: the absorption of solar energy characterized by the extinction radiative coefficient and by the parameter defined as the ratio of extracted heat flux to absorbed heat flux in the lower convective zone. The influence of the parameters and on the onset of thermosolutal convection in the case of confined and infinite layers is analyzed. It is found that convection starts in an oscillatory state, independently of the value. Different convection solutions were found for marginal stability and steady state.
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August 2006
Research Papers
A Linear Stability Study of the Gradient Zone of a Solar Pond
L. Kaffel Rebaï,
L. Kaffel Rebaï
Unité de Recherche en Mécanique et Energétique,
e-mail: leila.kaffel@enit.rnu.tn
Ecole Nationale d’Ingénieurs de Tunis
, 2000 Tunis, Tunisia and IMFT, UMR 5502 CNRS, Université Paul Sabatier
, 118 route de Narbonne, 31062 Toulouse, France
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A. K. Mojtabi,
A. K. Mojtabi
IMFT, UMR 5502 CNRS,
Université Paul Sabatier
, 118 route de Narbonne, 31062 Toulouse, France
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M. J. Safi,
M. J. Safi
Unité de Recherche en Mécanique et Energétique,
Ecole Nationale d’Ingénieurs de Tunis
, 2000 Tunis, Tunisia
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A. A. Mohamad
A. A. Mohamad
Department of Mechanical and Manufacturing Engineering,
The University of Calgary
, Calgary, AB, T2N 1N4, Canada
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L. Kaffel Rebaï
Unité de Recherche en Mécanique et Energétique,
Ecole Nationale d’Ingénieurs de Tunis
, 2000 Tunis, Tunisia and IMFT, UMR 5502 CNRS, Université Paul Sabatier
, 118 route de Narbonne, 31062 Toulouse, Francee-mail: leila.kaffel@enit.rnu.tn
A. K. Mojtabi
IMFT, UMR 5502 CNRS,
Université Paul Sabatier
, 118 route de Narbonne, 31062 Toulouse, France
M. J. Safi
Unité de Recherche en Mécanique et Energétique,
Ecole Nationale d’Ingénieurs de Tunis
, 2000 Tunis, Tunisia
A. A. Mohamad
Department of Mechanical and Manufacturing Engineering,
The University of Calgary
, Calgary, AB, T2N 1N4, CanadaJ. Sol. Energy Eng. Aug 2006, 128(3): 383-393 (11 pages)
Published Online: November 7, 2005
Article history
Received:
March 31, 2005
Revised:
November 7, 2005
Citation
Rebaï, L. K., Mojtabi, A. K., Safi, M. J., and Mohamad, A. A. (November 7, 2005). "A Linear Stability Study of the Gradient Zone of a Solar Pond." ASME. J. Sol. Energy Eng. August 2006; 128(3): 383–393. https://doi.org/10.1115/1.2210498
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