Numerical modelling of study the effect of the entrainment velocity, the number of Nusselt and the thickness of the non-convective zone on the stability of the pond solar

Abstract

In this paper, the effect of the entrainment velocity, the Nusselt number, and the thickness of the salinity gradient zone $(NCZ)$ on the stability of the solar pond are studied. The modelling equations of thermal energy and mass transfer in a salt gradient solar pond are discretized by finite difference methods in the transient regime. A new border condition applicable near the equilibrium of interface between the $(NCZ)$ and the $(LCZ)$ region is proposed. We take account of the effects of both turbulent entrainment and diffusion on the growth or erosion of the gradient zone $(NCZ)$. The obtained numerical results show an additional condition of solar pond's stability which links between the salinity gradient $\left( \Delta C\right) \ $ and the temperature gradient $\left( \Delta T\right)$ in the $(NCZ)$ region.