**ABSTRACT**

This paper deals with the modelling of solar ponds for different sizes to calculate saturation time and temperature by using discrete ordinates method. The modeled solar pond is a subsoil type and aimed to minimize the heat losses by isolating side wall and ground with foam with the thickness of 10 cm in all cases. In the model, upper convective zone is 10 cm deep and non-convective zone consists of five layer and each layer is 10 cm deep and storage zone depth ranges from 40-400 cm. Therefore, the solar pond totally consists of seven layers. The saturation temperature was found to be about 322 K for 12 different solar pond. For a depth of 40 cm, the equilibrium temperature was reached in 1000 hours, 1300 hours for 60 cm, 1400 hours for 80 cm, 1500 hours for 100 cm, 1600 hours for 120 cm, 1750 hours for 1140 cm, 1800 hours for 180 cm, 2700 hours for 200 cm, 1800 hours for 250 cm, 3400 hours for 300 cm, and 6000 hours have passed for 400 cm. As the depth increases, time to reach to the equilibrium temperature increases but increment amount of water and time to reach equilibrium temperature shows a proportional increase. At the same time we calculated that, when we increase the width of the pond by keeping the depth constant, the saturation temperature and the time did not changed for the seven different cases.

**KEYWORDS**

PAPER SUBMITTED: 2018-12-22

PAPER REVISED: 2019-04-02

PAPER ACCEPTED: 2019-04-22

PUBLISHED ONLINE: 2019-05-12

**THERMAL SCIENCE** YEAR

**2020**, VOLUME

**24**, ISSUE

**5**, PAGES [2905 - 2914]

- Chekerovska, M. and Filkoski R.V., Efficiency of Liquid Flat-Plate Solar Energy Collector with Solar Tracking System, Thermal Science, 19 (2015), pp. 1673-1684
- Bozkurt, I., Karakilcik, M., Dincer, I., Atiz, A., Transparent Covers Effect on the Performance of a Cylindrical Solar Pond, International Journal of Green Energy, 11 (2014), pp. 404-416
- Bezir, N.C., Donmez, O., Kayali, R., Ozek N., Numerical and Experimental Analysis of a Salt Gradient Solar Pond Performance with or without Reflective Covered Surface, Applied Energy, 85 (2008), pp. 1102-1112
- Bozkurt, I., Sogukpinar, H., Karakilcik, M., Modeling of a Solar Pond for Different Insulation Materials to Calculate Temperature Distribution, Journal of Multidisciplinary Engineering Science and Technology, 2(2015), pp. 1378-1382
- Karakilcik, M., Bozkurt, I., Dincer, I., Dynamic Exergetic Performance Assessment of an Integrated Solar Pond, International Journal of Exergy, 12 (2013), pp. 70-86
- Bozkurt, I. and Karakilcik, M., The Daily Performance of a Solar Pond Integrated with Solar Collectors, Solar Energy, 86 (2012), pp. 1611-1620
- Sogukpinar, H., Bozkurt, I., Karakilcik, M., Cag, S., Numerical Evaluation of the Performance Increase for a Solar Pond With Glazed and Unglazed, 2016 IEEE International Conference on Power and Renewable Energy, pp. 598-601
- Bozkurt, I. and Karakilcik, M., The Effect of Sunny Area Ratios on the Thermal Performance of Solar Ponds, Energy Conversion and Management, 91 (2015), pp. 323-332
- Bozkurt, I., Deniz, S., Karakilcik, M., Dincer, I., Performance Assessment of a Magnesium Chloride Saturated Solar Pond, Renewable Energy, 78 (2015), pp. 35-41
- Ganguly, S., Date, A., Akbarzadeh, A., Investigation of Thermal Performance of a Solar Pond With External Heat Addition, Journal of Solar Energy Engineering 140 (2018), pp. 024501-0245507
- Sayer, A.H., Monjezi, A.A., Campbell, A.N., Behaviour of a Salinity Gradient Solar Pond During Two Years and the Impact of Zonal Thickness Variation on Its Performance, Applied Thermal Engineering, 130 (2018), pp. 1191-1198
- Akrour, D., Tribeche, M., Kalache, D., A Theoretical and Numerical Study of Thermosolutal Convection: Stability of a Salinity Gradient Solar Pond, Thermal Science, 15 (2011), pp. 67-80
- Alcaraza, M. Montalà, C. Valderrama, J.L. Cortinaa, A. Akbarzadeh, A. Farran, Thermal performance of 500 m2 salinity gradient solar pond in Granada, Spain under strong weather conditions, Solar Energy, 171(2018), pp. 223-228.
- Asaad H. Sayer, Hazim Al-Hussaini, Alasdair N. Campbell, New comprehensive investigation on the feasibility of the gel solar pond, and a comparison with the salinity gradient solar pond, Applied Thermal Engineering 130 (2018), pp. 672-683.
- M. Montalà, J.L. Cortina, A. Akbarzadeh, C. Valderrama, Stability analysis of an industrial salinity gradient solar pond, Solar Energy 180 (2019), pp. 216-225.
- Sogukpinar, H., Bozkurt, I., Karakilcik, M., Performance Comparison of Aboveground and Underground Solar ponds, Thermal Science, 22 (2018), pp. 1-9
- Heat transfer module, COMSOL. www.comsol.com/
- Modest, M.F., Radiative Heat Transfer, 2nd ed., San Diego, California: Academic Press, 2003
- Maugin, G.A., The Thermomechanics of Nonlinear Irreversible Behaviors: An Introduction, World Scientific, 1999
- Incropera, F.P., DeWitt, D.P., Bergman, T.L., Lavine. A.S., Fundamentals of Heat and Mass Transfer, 6th ed. John Wiley & Sons, 2006
- Karakilcik, M., Dincer, I., Rosen, M.A., Performance Investigation of a Solar Pond, Applied Thermal Engineering, 26 (2006), pp. 727-735
- Kayali, R., Bozdemir, S., Kiymac, K., A Rectangular Solar Pond Model Incorporating Empirical Functions for Air and Soil Temperatures, Solar Energy, 63 (1998), 345-353