Journal of Solar Energy Engineering-Transactions of The ASME, Vol.128, No.3, 383-393, 2006
A linear stability study of the gradient zone of a solar pond
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 mu(e) 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 mu(e) 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 Ra-S value. Different convection solutions were found for marginal stability and steady state.