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A linear stability study of the gradient zone of a solar pond

Kaffel Rebaï, Leila and Mojtabi, Abdelkader and Safi, Mohamed Jomâa and Mohamad, Abdulmajeed A. A linear stability study of the gradient zone of a solar pond. (2006) Journal Of Solar Energy Engineering, 128 (3). 383-393. ISSN 0199-6231

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Official URL: https://doi.org/10.1115/1.2210498


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 μe and by the parameter f defined as the ratio of extracted heat flux to absorbed heat flux in the lower convective zone. The influence of the parameters μe and f 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 RaS value. Different convection solutions were found for marginal stability and steady state.

Item Type:Article
HAL Id:hal-01946082
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:07 Nov 2018 11:04

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