MATHEMATICAL MODEL DEVELOPMENT OF HEAT AND MASS EXCHANGE PROCESSES IN THE OUTDOOR SWIMMING POOL

M. V. Shaptala; D. E. Shaptala

doi:10.15802/stp2014/33397

Authors

M. V. Shaptala Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan, Ukraine https://orcid.org/0000-0002-1235-1073
D. E. Shaptala Prydniprovsk State Academy of Civil Engineering and Architecture, Ukraine https://orcid.org/0000-0002-1045-0801

DOI:

https://doi.org/10.15802/stp2014/33397

Keywords:

mathematical model, mass and heat losses, outdoor swimming pool, evaporation rate, factor activity, natural and forced convection

Abstract

Purpose. Currently exploitation of outdoor swimming pools is often not cost-effective and, despite of their relevance, such pools are closed in large quantities. At this time there is no the whole mathematical model which would allow assessing qualitatively the effect of energy-saving measures. The aim of this work is to develop a mathematical model of heat and mass exchange processes for calculating basic heat and mass losses that occur during its exploitation. Methodology. The method for determination of heat and mass loses based on the theory of similarity criteria equations is used. Findings. The main types of heat and mass losses of outdoor pool were analyzed. The most significant types were allocated and mathematically described. Namely: by evaporation of water from the surface of the pool, by natural and forced convection, by radiation to the environment, heat consumption for water heating. Originality. The mathematical model of heat and mass exchange process of the outdoor swimming pool was developed, which allows calculating the basic heat and mass loses that occur during its exploitation. Practical value. The method of determining heat and mass loses of outdoor swimming pool as a software system was developed and implemented. It is based on the mathematical model proposed by the authors. This method can be used for the conceptual design of energy-efficient structures of outdoor pools, to assess their use of energy-intensive and selecting the optimum energy-saving measures. A further step in research in this area is the experimental validation of the method of calculation of heat losses in outdoor swimming pools with its use as an example the pool of Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan. The outdoor pool, with water heating-up from the boiler room of the university, is operated year-round.

Author Biographies

M. V. Shaptala, Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan

Dep. «Heat Еngineering»

D. E. Shaptala, Prydniprovsk State Academy of Civil Engineering and Architecture

Dep. «Heat Engineering and Gas Supply»

References

Habrinets V.O., Khrystian Ye.V. Tytarenko I.V. Shliakhy pidvyshchennia efektyvnosti enerhetychnykh pidrozdilov zaliznychnoho transportu [Ways to improve the energy units’ efficiency of railway transport]. Visnyk Dnipropetrovskoho natsionalnoho universytetu zaliznychnoho transportu imeni akademika V. Lazariana [Bulletin of Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan], 2012, issue 41, pp. 187-190.

DBN V.2.5-64:2012. Vnutrishnii vodoprovid ta kanalizatsiia. [Plumbing and sewage system]. Kyiv, Minrehion Ukrainy Publ., 2013. 104 p.

Ivin V.F., Bodnar B.Ye. Energosberezheniye pri ekspluatatsii otkrytykh plavatelnykh basseynov [Energy saving at operation of outdoor swimming pool]. Nauka ta prohres transportu. Visnyk Dnipropetrovskoho natsionalnoho universytetu zaliznychnoho transportu – Science and Transport Progress. Bulletin of Dnipropetrovsk National University of Railway Transport, 2013, no. 5 (47), pp. 40-46.

Mikheyev M.A., Mikheyeva I.M. Osnovy teploperedachi [Heat transfer principles]. Moscow, Energiya Publ., 1977. 343 p.

Nesterenko A.V. Osnovy termodinamicheskikh raschetov ventilyatsii i konditsionirovaniya vozdukha [Fundamentals of thermodynamic calculations of air ventilation and conditioning]. Moscow, Vysshaya shkola Publ., 1971. 460 p.

Uong Kh. Osnovnyye formuly i dannyye po teploobmenu dlya inzhenerov [The basic formulas and data on heat exchange for engineers]. Moscow, Atomizdat Publ., 1979. 216 p.

Chirkin V.S. Teplofizicheskiye svoystva veshchestv [Thermophysical properties of substances]. Moscow, Fizmatgiz Publ., 1959. 356 p.

Almanza R., Lara J. Energy requirements for a swimming pool through a water-atmosphere energy balance. Solar Energy, 1994, volume 53, issue 1, pp. 37-3. doi: 10.1016/S0038-092X(94)90602-5.

Bejan A., Kraus D.A. Heat Transfer Handbook. New-York, John Wiley & Sons Ltd., 2003. 1488 p.

Jones R., Smith Charles C., Löf G. Measurement and Analysis of Evaporation from an Inactive Outdoor Swimming Pool. Proc. of the 1993 Annual Conf. of the American Solar Energy Society.WashingtonD.C., 1993. р. 245.

Jones R., Smith Charles C., Löf G. Measurement and Analysis of Evaporation from an Inactive Outdoor Swimming Pool. Solar Energy, 1994, volume 53, issue 1, pp. 3-7. doi: 10.1016/S0038-092X(94)90597-5.

Jones R., Smith Charles C., Löf G. Rates of Evaporation from Swimming Pools in Active Use. American Society of Heating, Refrigeration, and Air Conditioning Engineers Transactions, 1998, volume 104, p. 514.

Reducing swimming pool heat loss. E Source Companies LLC/1986-2011/. Available at: http://www.mge.com/ images/PDF/Brochures/residential/ReducingSwimmingPoolHeatLoss.pdf (Accessed 23 April 2014).