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  • Hacettepe Journal of Mathematics and Statistics
  • Volume:50 Issue:4
  • Numerical modelling of study the effect of the entrainment velocity, the number of Nusselt and the t...

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

Authors : Sabrina GHERAİBİA, Amar GUESMIA
Pages : 918-933
Doi:10.15672/hujms.816059
View : 21 | Download : 6
Publication Date : 2021-08-06
Article Type : Research Paper
Abstract :In this paper, the effect of the entrainment velocity, the Nusselt number, and the thickness of the salinity gradient zone $insert ignore into journalissuearticles values(NCZ);$ 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 $insert ignore into journalissuearticles values(NCZ);$ and the $insert ignore into journalissuearticles values(LCZ);$ region is proposed. We take account of the effects of both turbulent entrainment and diffusion on the growth or erosion of the gradient zone $insert ignore into journalissuearticles values(NCZ);$. The obtained numerical results show an additional condition of solar pond`s stability which links between the salinity gradient $\leftinsert ignore into journalissuearticles values( \Delta C\right); \ $ and the temperature gradient $\leftinsert ignore into journalissuearticles values( \Delta T\right);$ in the $insert ignore into journalissuearticles values(NCZ);$ region.
Keywords : Solar pond, Entrainment velocity, Finite difference method

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