A fully coupled, transient double-diffusive convective model for salt-gradient solar ponds

A fully coupled two-dimensional, numerical model that evaluates, for the first time, the effects of double-diffusive convection in the thermal performance and stability of a salt-gradient solar pond is presented. The inclusion of circulation in the upper and lower convective zone clearly shows that erosion of the non-convective zone occurs. Model results show that in a two-week period, the temperature in the bottom of the solar pond increased from 20 °C to approximately 52 °C and, even though the insulating layer is being eroded by double-diffusive convection, the solar pond remained stable. Results from previous models that neglect the effect of double-diffusive convection are shown to over-estimate the temperatures in the bottom of the solar pond. Incorporation of convective mixing is shown to have profound impacts on the overall stability of a solar pond, and demonstrates the need to actively manage the mixing and heat transfer to maintain stability and an insulating non-convective zone.

[1]  J. Hull Physics of the solar pond , 1979 .

[2]  H. Ozoe,et al.  419 Double diffusive phenomena in solar pond , 2006 .

[3]  V.V.N. Kishore,et al.  CONSTRUCTION AND OPERATIONAL EXPERIENCE OF A 6000 m2 SOLAR POND AT KUTCH, INDIA , 1999 .

[4]  Nicolas Galanis,et al.  Transient heat and mass transfer and long-term stability of a salt-gradient solar pond , 2006 .

[5]  Raul H. Piedrahita,et al.  Modelling temperature variation and thermal stratification in shallow aquaculture ponds , 1991 .

[6]  Wilfried Brutsaert,et al.  Evaporation into the atmosphere : theory, history, and applications , 1982 .

[7]  S. Samdarshi,et al.  Simple methods for estimation of radiation flux in solar ponds , 2004 .

[8]  B. Henderson-Sellers Calculating the Surface Energy Balance for Lake and Reservoir Modeling: A Review (Paper 6R0209) , 1986 .

[9]  A. Bejan Convection Heat Transfer , 1984 .

[10]  K. Helfrich,et al.  Evaporation from heated water bodies: Predicting combined forced plus free convection , 1990 .

[11]  H. E. Jobson Evaporation Into the Atmosphere: Theory, History, and Applications , 1982 .

[12]  Gianfranco Caruso,et al.  A desalination plant using solar heat as a heat supply, not affecting the environment with chemicals , 1999 .

[13]  A. K. Binark,et al.  Solar pond conception — experimental and theoretical studies , 2000 .

[14]  V. Delnore Numerical simulation of thermohaline convection in the upper ocean , 1980, Journal of Fluid Mechanics.

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

[16]  T. Shirtcliffe An experimental investigation of thermosolutal convection at marginal stability , 1969, Journal of Fluid Mechanics.

[17]  A. Mohamad,et al.  A linear stability study of the gradient zone of a solar pond , 2006 .

[18]  A. Belghith,et al.  Study of temperature and salinity profiles development of solar pond in laboratory , 2005 .

[19]  John R. Hull,et al.  Salinity Gradient Solar Ponds , 1988 .

[20]  R. I. Loehrke,et al.  The Onset of Thermohaline Convection in a Linearly-Stratified Horizontal Layer , 1976 .

[21]  Hwataik Han,et al.  Double diffusive natural convection in a vertical rectangular enclosureII. Numerical study , 1991 .

[22]  Thomas R. Mancini,et al.  Layered thermohaline natural convection , 1976 .

[23]  Ibrahim Dincer,et al.  Experimental and theoretical temperature distributions in a solar pond , 2006 .

[24]  Margarida Canedo Giestas,et al.  Solar pond modeling with density and viscosity dependent on temperature and salinity , 2009 .

[25]  J. Turner,et al.  Double-Diffusive Phenomena , 1974 .

[26]  Joseph F. Atkinson,et al.  A wind-mixed layer model for solar ponds , 1983 .

[27]  Hwataik Han,et al.  Double diffusive natural convection in a vertical rectangular enclosure-!. Experimental study , 1991 .

[28]  M. El-Refaee,et al.  Numerical Simulation of the Performance of the Kuwait Experimental Salt-Gradient Solar Pond (KESGSP) , 1993 .

[29]  T. Torgersen,et al.  Predicting the onset of thermal stratification in shallow inland waterbodies , 2009, Aquatic Sciences.

[30]  H. Oertel Prandtl's essentials of fluid mechanics , 2004 .

[31]  H. Charnock Wind stress on a water surface , 1955 .

[32]  A. E. Gill,et al.  On thermohaline convection with linear gradients , 1969, Journal of Fluid Mechanics.

[33]  J. Srinivasan,et al.  Modeling the dynamics of the mixed layer in solar ponds , 1995 .

[34]  Yildiz Bayazitoglu,et al.  International Journal of Heat and Mass Transfer , 2013 .

[35]  R. S. Beniwal,et al.  Calculation of thermal efficiency of salt gradient solar ponds , 1987 .

[36]  J. Walton,et al.  Desalination coupled with salinity-gradient solar ponds , 2001 .

[37]  Ian Colbeck,et al.  A solar pond for London , 1977 .

[38]  Ari Rabl,et al.  Solar ponds for space heating , 1975 .

[39]  Moez Hammami,et al.  Transient natural convection in an enclosure with vertical solutal gradients , 2007 .

[40]  T. C. Winter,et al.  Comparison of 15 evaporation methods applied to a small mountain lake in the northeastern USA , 2007 .