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.
A Linear Stability Study of the Gradient Zone of a Solar Pond
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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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