Notice of Retraction: Numerical simulation of the dynamic behavior of non-convective zone in salt gradient solar pond

Abstract

The dynamic behavior of thermo-solutal stability in the non-convective zone (NCZ) of solar pond has been numerical simulated by our own computer code. NCZ in salt gradient solar pond is a typical double diffusive system of salinity and temperature and it is subjected to instable effects of adverse temperature gradient. The onset of instability may occur as an oscillatory motion because of the stabilizing effect of the salinity. In this paper, the marginal state between the steady state and the convection of the NCZ is studied. Numerical simulation has been used to solve the nonlinear ordinary differential equation. The trajectories of the temperature and velocity coefficients in the three-dimensional phase space, as well as the two-dimensional temperature, salinity and velocity fields in NCZ have been given. The results demonstrate that the numerical study is in agreement with the marginal stability and the critical Rayleigh number Rac derived from linear stability analysis. The results indicate that oscillation is a narrow region which is above the stable region; however, the nonlinear numerical results indicate that the linear stability analysis leans to a larger upper boundary in the oscillatory regions.