Skip to main content
Log in

Determining the Evaporation Rate from a Pool Surface under Active Wave Formation

  • Published:
Mathematical Models and Computer Simulations Aims and scope

Abstract

The problem of designing unique building structures in terms of predicting the climatic characteristics of premises is considered. These facilities include the Surfing Center, which is planned to be built in Moscow. An integral part of the design work is the determination of indoor humidity and the selection of parameters for climate control systems. Within the framework of solving this problem, a technique is developed for modeling the rate of evaporation from the surface of a swimming pool (pool) during active waves. The technique is based on the use of computational fluid dynamics methods in combination with the calibration of the empirical constants of the models according to the known experimental data for the evaporation rate in still water. According to the revised method, a correction factor to the formula of the VDI2089 standard is determined to estimate the rate of evaporation from the surface of the pool for the given wave parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.

Similar content being viewed by others

REFERENCES

  1. R. Argannikov, “Reconstruction of HVAC system of St. Isaac’s Cathedral,” Sustainable Building Technologies, No. 2, 46–49 (2016). http://zvt.abok.ru/articles/317/Rekonstruktsiia sistemi otopleniia Isaakievskogo sobora. Cited July 22, 2020.

  2. D. M. Denisikhina, “Features of the numerical simulation of air movement inside concert and theater halls,” Naukovedenie, No. 3 (22), p. 81TVN314 (2014).

  3. A. G. Perekhozhentsev, “Solution of heat and moisture exchange tasks in two-dimensional area of the building envelope,” Vestn. Volgogr. Gos. Arkhit.-Stroit. Univ., Ser.: Stroit. Arkhit., No. 39 (58), 35–45 (2015).

  4. W. Tian, X. Han, W. Zuo, and M. D Sohn, “Building energy simulation coupled with CFD for indoor environment: A critical review and recent applications,” Energy Build. 165, 184–199 (2018). https://doi.org/10.1016/j.enbuild.2018.01.046

    Article  Google Scholar 

  5. RBC TV channel. https://sportrbc.ru/news/5ff1ca149a7947cbde756c31

  6. R. Tang and Y. Etzion, “Comparative studies on the water evaporation rate from a wetted surface and that from a free water surface,” Build. Environ. 39, 77–86 (2004). https://doi.org/10.1016/j.buildenv.2003.07.007

    Article  Google Scholar 

  7. C. C. Smith, R. Jones, and G. O. G. Löf, “Energy requirements and potential savings for heated indoor swimming pools,” ASHRAE Trans. 99, 864–874 (1993).

    Google Scholar 

  8. S. O. Hanssen and H. M. Mathisen, “Evaporation from swimming pools,” in Roomvent90: Proc. 2nd International Conference on Engineering Aero- and Thermodynamics of Ventilated Rooms, Oslo, Norway, June 1990, Session B2, Paper 31.

  9. S. M. Bower and J. R. Saylor, “A study of the Sherwood–Rayleigh relation for water undergoing natural convection-driven evaporation,” Int. J. Heat Mass Transfer 52, 3055–3063 (2009). https://doi.org/10.1016/j.ijheatmasstransfer.2009.01.034

    Article  Google Scholar 

  10. M. M. Shah, “Improved method for calculating evaporation from indoor water pools,” Energy Build. 49, 306–309 (2012). https://doi.org/10.1016/j.enbuild.2012.02.026

    Article  Google Scholar 

  11. M. M. Shah, “New correlation for prediction of evaporation from occupied swimming pools,” ASHRAE Trans. 119, 450–455 (2013).

    Google Scholar 

  12. L. Garbai and R. Santa, “Flow pattern map for in tube evaporation and condensation,” in Proc. 4th Int. Symposium on Exploitation of Renewable Energy Sources, Subotica, Serbia, 2012 (Subotica Tech., Subotica, 2012), pp. 125–130.

  13. Z. Li and P. K. Heiselberg, CFD Simulations for Water Evaporation and Airflow Movement in Swimming Baths (Aalborg Universitet, Denmark, 2005).

    Google Scholar 

  14. Yu. P. Kirillov, V. A. Shaposhnikov, L. A. Kuznetsov, V. S. Shiryaev, and M. F. Churbanov, “Modeling of the evaporation of liquids and condensation of their vapor during distillation,” Inorg. Mater. 52, 1256–1261 (2016). https://doi.org/10.1134/S0020168516110066

    Article  Google Scholar 

  15. Russian Standards Institute. Standard VDI 2089 Blatt 1-1994. Heating, ventilating, water supply, sewage water treatment in indoor and open air swimming pools. Indoor swimming pools. https://www.standards.ru/document/5884404.aspx

  16. Simcenter STAR-CCM+. Engineer innovation with CFD-focused multiphysics simulation https://www.plm.automation.siemens.com/global/ru/products/simcenter/STARCCM.html

  17. D. Butterworth and G. F. Hewitt, Two-Phase Flow and Heat Transfer (Oxford Univ.Press, Oxford, 1974).

    Google Scholar 

  18. D. A. Drew and S. L. Passman, Theory of Multicomponent Fluids (Springer, New York, 1998). https://doi.org/10.1007/b97678

  19. S. Hardt and F. Wondra, “Evaporation model for interfacial flows based on a continuum-field representation of the source terms,” J. Comput. Phys. 227, 5871–5895 (2008). https://doi.org/10.1016/j.jcp.2008.02.020

    Article  MathSciNet  MATH  Google Scholar 

  20. C. Rohwer, “Evaporation from free water surface,” Tech. Bull. No. 271 (US Department Agriculture, Washington, 1931).

  21. W. H. Carrier, “The temperature of evaporation,” ASHVE Trans. 24, 25–50 (1918).

    Google Scholar 

  22. M. Gangopadhyaya, G. E. Harbeck, Jr., T. J. Nordenson, et al., “Measurement and estimation of evaporation and evapotranspiration,” Tech. Note No. 83 (World Meteorol. Organization, Geneva, 1966).

    Google Scholar 

  23. E. Sartori, “A critical review on equations employed for the calculation of the evaporation rate from free water surfaces,” Sol. Energy 68, 77–89 (2000). https://doi.org/10.1016/S0038-092X(99)00054-7

    Article  Google Scholar 

  24. M. Örvös, V. Szabó, and T. Poós, “Rate of evaporation from the free surface of a heated liquid,” J. Appl. Mech. Tech. Phys. 57, 1108–1117 (2016). https://doi.org/10.1134/S0021894416060195

    Article  Google Scholar 

  25. STAR-CCM+ User Guide, 2021

  26. A. V. Garbaruk, M. Kh. Strelets, A.K. Travin, and M.L. Shur, Modern Approaches to Turbulence Modeling: A Tutorial (Izd. Politekh. Univ., St. Petersburg, 2016) [in Russian].

    Google Scholar 

  27. F. R. Menter, “Two-equation eddy-viscosity turbulence models for engineering applications,” AIAA J. 32, 1598–1605 (1994). https://doi.org/10.2514/3.12149

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. S. Kalyasov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Voronina, E.B., Kalyasov, P.S., Kudryavtsev, A.U. et al. Determining the Evaporation Rate from a Pool Surface under Active Wave Formation. Math Models Comput Simul 15, 1045–1051 (2023). https://doi.org/10.1134/S2070048223060182

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S2070048223060182

Keywords:

Navigation