A Linear Stability Study of the Gradient Zone of a Solar PondThe 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 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 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. Downloaded From: http://solarenergyengineering.asmedigitalcollection.asme.org/ on 06/15/2015 Terms of Use: http://asme.org/terms Journal of Solar Energy Engineering AUGUST 2006, Vol. 128 / 391 Downloaded From: http://solarenergyengineering.asmedigitalcollection.asme.org/ on 06/15/2015 Terms of Use: http://asme.org/terms

Purpose-The purpose of this paper is to present a numerical and an analytical study of the thermohaline convection with Soret effect in a square enclosure filled with a binary fluid mixture. Design/methodology/approach-The horizontal boundaries of the enclosure are impermeable and heated from below while its vertical walls are assumed to be adiabatic and impermeable. The Navier-Stokes equations under the Boussinesq-Oberbeck approximation are solved numerically. The results are given for different values of the separation ratio. The critical Rayleigh number at the onset of convection is determined analytically and numerically. The Hopf frequency at the onset of convection is obtained. Findings-The existence of two stable stationary bifurcation branches is illustrated. Furthermore, it is shown that the existence of stable traveling waves in the transition from one branch to the other depends on the value of the separation ratio. For some values of Rayleigh number, asymmetric flows are observed. A good agreement is found between the numerical solution and analytical analysis. Originality/value-The present work is the first to consider thermosolutal convection with Soret effect in a square enclosure.