Transient heat and mass transfer and long-term stability of a salt-gradient solar pond

Abstract In this work, the problem of transient heat and mass transfer and long-term stability of a SGSP has been numerically investigated using a 2D-transient-variable properties model and a finite-control-volume numerical method. The pond, which was assumed initially stabilized with linear temperature and salinity profiles, has been subject to real weather conditions. The numerical model has been satisfactorily validated against measured temperature data. Numerical results have clearly shown that the solar heating effect appears considerably more pronounced during the hot seasons (spring and summer) than during the cold ones (winter and autumn). The existence of two critical zones, one beneath the water surface and the other one located near the pond bottom, has clearly been established at a very early time of operation. It has been found that such critical zones have progressively become more vulnerable in time. Also, the solar heating effect, the heat losses through the free surface as well as the water transparency have an important influence on the pond stability characteristics and its temporal evolution. The presence of a heat extraction with its cooling effect tends to stabilize the pond. Such a beneficial effect, which is mainly observed in the bottom region of the pond, has been found to be more pronounced during the summer than during the winter time. Results have also shown that the pond with good transparency water would likely be more susceptible to develop instabilities than the one with poorer transparency water. Such an effect appears to be more important inside the lower critical zone.

[1]  Edgar Knobloch,et al.  Oscillations in double-diffusive convection , 1981, Journal of Fluid Mechanics.

[2]  M. El-Refaee,et al.  Transient performance of a two‐dimensional salt gradient solar pond—A numerical study , 1996 .

[3]  Margarida Canedo Giestas,et al.  The influence of radiation absorption on solar pond stability , 1996 .

[4]  A. Al-Marafie,et al.  Performance of 1700 m2 solar pond operation in arid zone , 1991 .

[5]  M. Ouni,et al.  Simulation of the transient behaviour of a salt gradient solar pond in Tunisia , 1998 .

[6]  S. Khashan,et al.  Effect of energy extraction on solar pond performance , 1998 .

[7]  Aliakbar Akbarzadeh,et al.  The design, construction, and initial operation of a closed-cycle, salt-gradient solar pond , 1994 .

[8]  Nicolas Galanis,et al.  Numerical study of transient heat and mass transfer and stability in a salt-gradient solar pond , 2004 .

[9]  S. Schladow The upper mixed zone of a salt gradient solar pond: Its dynamics, prediction and control , 1984 .

[10]  Margarida Canedo Giestas,et al.  The influence of non-constant diffusivities on solar ponds stability , 1997 .

[11]  Manuel G. Velarde,et al.  The Two‐component Bénard Problem , 2007 .

[12]  H. Stefan,et al.  Lake Water Temperature Simulation Model , 1993 .

[13]  George Veronis,et al.  Effect of a stabilizing gradient of solute on thermal convection , 1968, Journal of Fluid Mechanics.

[14]  V.V.N. Kishore,et al.  A practical collector efficiency equation for nonconvecting solar ponds , 1984 .

[15]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[16]  F. Zangrando,et al.  On the hydrodynamics of salt-gradient solar ponds , 1991 .