Abstract
An advanced numerical model for modeling spontaneous condensation phenomena of water vapor was presented to investigate the flow behaviors in a converging-diverging nozzle for potential application in fire suppression using steam ejectors. The numerical model is validated against existing experimental data, which shows a good agreement. The proposed model was then compared against the ideal gas model in terms of various flow behaviors, including static pressure and Mach number in a newly designed nozzle. The condensing behaviors were accurately captured by the proposed model, while the idea gas model failed to do so. The condensation phenomena, including nucleation rate, droplet number, etc., in the nozzle, were discussed in detail. The accurate prediction results proved the possibility and demonstrated potential of applying the proposed model to broader fields of applications, especially into a steam ejector.
Similar content being viewed by others
Abbreviations
- E :
-
Total energy
- h 1v :
-
Latent heat during phase change
- J :
-
Nucleation rate
- k B :
-
Boltzmann’s constant
- ṁ :
-
Condensation rate of vapor
- m v :
-
Mass of one molecule
- N :
-
Number density of droplets
- p, p sat :
-
Pressure, saturation pressure
- q c :
-
Evaporation coefficient
- r, r*:
-
Droplet radius, critical droplet radius
- R :
-
Gas constant
- S :
-
Supersaturation ratio
- t :
-
Time
- T, T d :
-
Temperature, temperature of a droplet
- Y :
-
Liquid mass fraction
- u i,j, k :
-
Generic velocity
- δ ij :
-
Kronecker delta
- γ :
-
Ratio of specific heat capacities
- λ eff :
-
Effective thermal conductivity
- μ eff :
-
Effective molecular dynamic viscosity
- ν :
-
Correction factor
- ϕ :
-
Non-isothermal correction factor
- ρ, ρ v, ρ 1 :
-
Density of mixture, density of water vapor, density of water droplets
- τ ij :
-
Stress tensor
- x i,j, k :
-
Generic position in space
References
Duny, M., Dhima, D., Garo, J. P., Wang, H. Y. 2016. Numerical investigation on window ejected facade flames. J Build Eng, 8: 305–312.
Gerber, A. G., Kermani, M. J. 2004. A pressure based Eulerian-Eulerian multi-phase model for non-equilibrium condensation in transonic steam flow. Int J Heat Mass Trans, 47: 2217–2231.
Han, Y., Guo, L., Wang, X., Yuen, A. C. Y., Li, C., Cao, R., Liu, H., Chen, T. B. Y., Tu, J., Yeoh, G. H. 2019a. A steam ejector refrigeration system powered by engine combustion waste heat: part 1. characterization of the internal flow structure. Appl Sci, 9: 4275.
Han, Y., Wang, X., Guo, L., Yuen, A. C. Y., Liu, H., Cao, R., Wang, C., Li, C., Tu, J., Yeoh, G. H. 2019b. A steam ejector refrigeration system powered by engine combustion waste heat: part 2. understanding the nature of the shock wave structure. Appl Sci, 9: 4435.
Han, Y., Wang, X., Yuen, A. C. Y., Li, A., Guo, L., Yeoh, G. H., Tu, J. 2020. Characterization of choking flow behaviors inside steam ejectors based on the ejector refrigeration system. Int J Refrig, 113: 296–307.
Hill, P. G. 1966. Condensation of water vapour during supersonic expansion in nozzles. J Fluid Mech, 25: 593–620.
Kuang, K., Chow, W. K., Ni, X., Yang, D., Zeng, W., Liao, G. 2011. Fire suppressing performance of superfine potassium bicarbonate powder. Fire Mater, 35: 353–366.
Li, A., Yuen, A. C. Y., Chen, T. B. Y., Wang, C., Liu, H., Cao, R., Yang, W., Yeoh, G. H., Timchenko, V. 2019. Computational study of wet steam flow to optimize steam ejector efficiency for potential fire suppression application. Appl Sci, 9: 1486.
Lin, B., Yuen, A. C. Y., Li, A., Zhang, Y., Chen, T. B. Y., Yu, B., Lee, E. W. M., Peng, S., Yang, W., Lu, H., Chan, Q., Yeoh, G. H., Wang, C. H. 2020. MXene/chitosan nanocoating for flexible polyurethane foam towards remarkable fire hazards reductions. J Hazard Mater, 381: 120952.
Liu, H., Wang, C., de Cachinho Cordeiro, I. M., Yuen, A. C. Y., Chen, Q., Chan, Q., Kook, S., Yeoh, G. H. 2020. Critical assessment on operating water droplet sizes for fire sprinkler and water mist systems. J Build Eng, 28: 100999.
Liu, H., Yuen, A. C. Y., de Cachinho Cordeiro, I. M., Han, Y., Chen, T. B. Y., Chan, Q., Kook, S., Yeoh, G. H. 2021. A novel stochastic approach to study water droplet/flame interaction of water mist systems. Numer Heat Tr A: Appl, 79: 570–593.
Mazzelli, F., Giacomelli, F., Milazzo, A. 2018. CFD modeling of condensing steam ejectors: Comparison with an experimental test-case. Int J Therm Sci, 127: 7–18.
Moses, C. A., Stein, G. D. 1978. On the growth of steam droplets formed in a Laval nozzle using both static pressure and light scattering measurements. J Fluids Eng, 100: 311–322.
Nakamura, Y., Usuki, T., Wakatsuki, K. 2020. Novel fire extinguisher method using vacuuming force applicable to space habitats. Fire Technol, 56: 361–384.
Pianthong, K., Seehanam, W., Behnia, M., Sriveerakul, T., Aphornratana, S. 2007. Investigation and improvement of ejector refrigeration system using computational fluid dynamics technique. Energ Convers Manage, 48: 2556–2564.
Starzmann, J., Hughes, F. R., Schuster, S., White, A. J., Halama, J., Hric, V., Kolovratník, M., Lee, H., Sova, L., Št’astný, M., Grübel, M., Schatz, M., Vogt, D. M., Patel, Y., Patel, G., Turunen-Saaresti, T., Gribin, V., Tishchenko, V., Gavrilov, I., Kim, C., Baek, J., Wu, X., Yang, J., Dykas, S., Wróblewski, W., Yamamoto, S., Feng, Z., Li, L. 2018. Results of the international wet steam modeling project. P I Mech Eng A: J Pow, 232: 550–570.
Wen, C., Ding, H., Yang, Y. 2020. Performance of steam ejector with nonequilibrium condensation for multi-effect distillation with thermal vapour compression (MED-TVC) seawater desalination system. Desalination, 489: 114531.
Yang, L., Zhao, J. 2011. Fire extinct experiments with water mist by adding additives. J Therm Sci, 20: 563–569.
Young, J. B. 1992. Two-dimensional, nonequilibrium, wet-steam calculations for nozzles and turbine cascades. J Turbomach, 114: 569–579.
Yuen, A. C. Y., Yeoh, G. H. 2013. Numerical simulation of an enclosure fire in a large test hall. Comput Therm Sci, 5: 459–471.
Yuen, A. C. Y., Yeoh, G. H., Timchenko, V., Cheung, S. C. P., Chan, Q. N., Chen, T. 2017. On the influences of key modelling constants of large eddy simulations for large-scale compartment fires predictions. Int J Comput Fluid D 31: 324–337.
Yuen, A. C. Y., Yeoh, G. H., Yuen, R. K. K., Chen, T. 2013. Numerical simulation of a ceiling jet fire in a large compartment. Procedia Eng, 52: 3–12.
Zhang, G., Dykas, S., Yang, S., Zhang, X., Li, H., Wang, J. 2020. Optimization of the primary nozzle based on a modified condensation model in a steam ejector. Appl Therm Eng, 171: 115090.
Zhang, T., Liu, H., Han, Z., Wang, Y., Guo, Z., Wang, C. 2019. Experimental study on the synergistic effect of fire extinguishing by water and potassium salts. J Therm Anal Calorim, 138: 857–867.
Acknowledgements
This research was sponsored by the Australian Research Council (ARC Industrial Transformation Training Centre IC170100032).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liu, H., De Cachinho Cordeiro, I.M., Yuen, A.C.Y. et al. Numerical modeling of wet steam infused fluid mixture for potential fire suppression applications. Exp. Comput. Multiph. Flow 5, 142–148 (2023). https://doi.org/10.1007/s42757-021-0107-5
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s42757-021-0107-5