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An Engineering Model for Water Spray Cooling: Application to a Mechanically-Ventilated Enclosure Fire

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Abstract

The paper presents a simplified engineering model for the prediction of the rate of heat absorption by heat-up and evaporation of water droplets interacting with fire-induced smoke. The algorithm can be easily implemented in the framework of one-zone or two-zone fire models. The general methodology is based on a decoupled time scale analysis for the heating, evaporation and motion of a single droplet. Such analysis allows to determine the heat absorbed by a droplet during its residence time in the smoke layer. Under the assumption of a monodisperse spray, the injected number of droplets per second is calculated and used to estimate the rate of heat absorption (i.e., cooling) by a full spray. The assessment of the model, for single droplet as well as full spray calculations, has been carried out against results obtained with the Fire Dynamics Simulator (FDS 6.7.0). The results show that the model predicts the rate of heat absorption within 15% for droplet diameters between 0.4 mm and 0.8 mm and a surrounding gas temperature below 150°C. Larger deviations are observed under other conditions. The application of the model to a well-confined and mechanically-ventilated compartment fire (a scenario of relevance to nuclear installations and passive houses) allowed to provide a good estimate of the cooling rate of the water spray system and the subsequent average gas temperature and pressure profile within the room.

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References

  1. Ingason H, Li YZ, Appel G, Lundström U, Becker C (2016) Large scale tunnel fire tests with large droplet water-based fire fighting system. Fire Technol 52:1539–1558. https://doi.org/10.1007/s10694-015-0479-9

    Article  Google Scholar 

  2. Bellas R, Gomez MA, Gonzalez-Gil A, Porteiro J, Miguez JL (2020) Assessment of the fire dynamics simulator for modeling fire suppression in engine rooms of ships with low-pressure water mist. Fire Technol 56:1315–1352. https://doi.org/10.1007/s10694-019-00931-8

    Article  Google Scholar 

  3. Prétrel H (2017) Interaction between water spray and smoke in a fire event in a confined and mechanically ventilated enclosure. Fire Saf J 91:336–346. https://doi.org/10.1016/j.firesaf.2017.03.025

    Article  Google Scholar 

  4. Vaari J (2002) A transient one-zone computer model for total flooding water mist fire suppression in ventilated enclosures. Fire Saf J 37(3):229–257. https://doi.org/10.1016/S0379-7112(01)00046-7

    Article  Google Scholar 

  5. Li YF, Chow WK (2004) Modelling of water mist fire suppression systems by a one-zone model. Combust Theory Model 8(3):567–592. https://doi.org/10.1088/1364-7830/8/3/008

    Article  Google Scholar 

  6. Li YF, Chow WK (2008) Study of water droplet behavior in hot air layer in fire extinguishment. Fire Technol 44:351–381. https://doi.org/10.1007/s10694-007-0036-2

    Article  Google Scholar 

  7. Cooper LY (1995) The interaction of an isolated sprinkler spray and a two-layer compartment fire environment. Int J Heat Mass Transf 38(4):679–690. https://doi.org/10.1016/0017-9310(94)00188-2

    Article  Google Scholar 

  8. Yao B, Chow WK (2006) Numerical modeling for compartment fire environment under a solid-cone water spray. Appl Math Model 30:1571–1586. https://doi.org/10.1016/j.apm.2005.08.003

    Article  MATH  Google Scholar 

  9. Tang Z, Fang Z, Merci B (2014) Development of an analytical model to quantify downward smoke displacement caused by a water spray for zone model simulations. Fire Saf J 63:89–100. https://doi.org/10.1016/j.firesaf.2013.12.002

    Article  Google Scholar 

  10. Plumecocq W, Audouin L, Joret JP, Prétrel H (2017) Numerical method for determining water droplets size distributions of spray nozzles using a two-zone model. Nucl Eng Des 324:67–77. https://doi.org/10.1016/j.nucengdes.2017.08.031

    Article  Google Scholar 

  11. Krishan G, Prakash S (1997) Evaporation of sprinkler water spray in a fire plume. In: Proceedings of the thirty-second intersociety conference on energy conversion engineering (IECEC). pp 1433–1438. https://doi.org/10.1109/IECEC.1997.661980

  12. Dombrovsky LA, Dembele S, Wen JX (2016) A simplified model for the shielding of fire thermal radiation by water mists. Int J Heat Mass Transf 96:199–209. https://doi.org/10.1016/j.ijheatmasstransfer.2016.01.028

    Article  Google Scholar 

  13. Valencia A, Baum HR, Marshall AW (2021) Reduced order modeling for fire sprinkler sprays. Fire Saf J 120:103127. https://doi.org/10.1016/j.firesaf.2020.103127

    Article  Google Scholar 

  14. Link E, Myers T, Trouvé A, Marshall A (2017) Measurements of spray-plume interactions for model validation. Fire Saf J 91:714–722. https://doi.org/10.1016/j.firesaf.2017.04.024

    Article  Google Scholar 

  15. Novozhilov V (2002) A simple engineering model for sprinkler spray interaction with fire products. Int J Eng Perform-Based Fire Codes 4:95–103

    Google Scholar 

  16. McGrattan K, Hostikka S, Floyd J, McDermott R, Vanella M (2021) Fire dynamics simulator user’s guide, 6th edn. NIST Special Publication 1019

  17. McGrattan K, Hostikka S, Floyd J, McDermott R, Vanella M (2021) Fire dynamics simulator technical reference guide volume 1: mathematical model, 6th edn. NIST Special Publication 1018-1

  18. Beji T, Thielens M, Merci B (2019) Assessment of heating and evaporation modelling based on single suspended water droplet experiments. Fire Saf J 106:124–135. https://doi.org/10.1016/j.firesaf.2020.103019

    Article  Google Scholar 

  19. Mahmud HI, Moinuddin KAM, Thorpe G (2014) Study of water-mist behaviour in hot air induced by a room fire: model development, validation and verification. Fire Mater 40:190–205. https://doi.org/10.1002/fam.2279

    Article  Google Scholar 

  20. Ranz WE, Marshall WR (1952) Evaporation from drops. Chem Eng Prog 48:141–146

    Google Scholar 

  21. Sikanen T, Vaari J, Hostikka S et al (2014) Modeling and simulation of high pressure water mist systems. Fire Technol 50:483–504. https://doi.org/10.1007/s10694-013-0335-8

    Article  Google Scholar 

  22. Beji T, Merci B (2016) Assessment of the burning rate of liquid fuels in confined and mechanically-ventilated compartments using a well-stirred reactor approach. Fire Technol 52(2):469–488. https://doi.org/10.1007/s10694-014-0418-1

    Article  Google Scholar 

  23. Prétrel H, Le Saux W, Audouin L (2012) Pressure variations induced by a pool fire in a well confined and force-ventilated compartment. Fire Saf J 52:11–24. https://doi.org/10.1016/j.firesaf.2012.04.005

    Article  Google Scholar 

  24. Li J, Prétrel H, Beji T, Merci B (2021) Influence of the heat release rate (HRR) evolutions on fire-induced pressure variations in air-tight compartments. Fire Saf J 126:103450. https://doi.org/10.1016/j.firesaf.2021.103450

    Article  Google Scholar 

  25. Drysdale D (2011) An introduction to fire dynamics, 3rd edn. Wiley, Hoboken

    Book  Google Scholar 

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Acknowledgements

The author acknowledges the funding of Fire Engineering Solutions Ghent (FESG) through Contract Number 40021097, ref. TT: A20/TT/0477 FESG. The author would like also to thank the Institute of Radioprotection and Nuclear Safety (IRSN) and more particularly Dr. Hugues Prétrel, for sharing the experimental data of the mechanically-ventilated enclosure fire.

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  1. Department of Structural Engineering and Building Materials, Faculty of Engineering and Architecture, Ghent University, Campus Ufo, Sint-Pietersnieuwstraat 41, 9000, Ghent, Belgium

    Tarek Beji

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Beji, T. An Engineering Model for Water Spray Cooling: Application to a Mechanically-Ventilated Enclosure Fire. Fire Technol 59, 331–357 (2023). https://doi.org/10.1007/s10694-022-01329-9

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