Technical Papers
Jun 11, 2021

Simulation of Airborne Transport with a Simplified Drift-Flux Model

Publication: Journal of Irrigation and Drainage Engineering
Volume 147, Issue 8

Abstract

The use of treated wastewater for irrigation is associated with the dispersion of fine droplets containing possibly pathogens. Their inhalation could expose workers and people in the surroundings to health problems. Wind and other atmospheric conditions may increase dispersion. The risk is difficult to assess, especially with water cannons and sprinklers, whose initial droplet conditions in airborne dispersal are not well characterized. In this study, the airborne dispersion of fine droplets (smaller than 300  μm) was investigated numerically. A simplified Eulerian drift-flux model was used to obtain airborne profiles in windy conditions (between 1 and 3  ms1), and experiments in a wind tunnel were used for validation. The model was one-way coupled, evaporation was not taken into consideration, and droplet displacement was driven by fluid drag and gravity. Two main conclusions were drawn. First, single-diameter simulations provide a qualitative evaluation of the rapidity of sedimentation but are not exhaustive to represent the entire spray. Second, more precise predictions can be obtained by introducing an approximated size distribution, resulting from a slight improvement of the initial conditions.

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Data Availability Statement

All data, models, and code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

This work was funded by the FUI French project SmartFertiReuse (Smart Ferti-irrigation et Réutilisation des eaux usées traitées) coordinated by VEOLIA.

References

Brennan, D. 2001. “The numerical simulation of two phase flows in settling tanks.” Ph.D. dissertation, Imperial College London, Univ. of London.
Chen, F., C. M. Simon, and A. C. Lai. 2006. “Modeling particle distribution and deposition in indoor environments with a new drift–flux model.” Atmos. Environ. 40 (2): 357–367. https://doi.org/10.1016/j.atmosenv.2005.09.044.
Cornacchia, I., S. Tomas, J. P. Douzals, and D. Courault. 2020. “Assessment of airborne transport of potential contaminants in a wind tunnel.” J. Irrig. Drain. Eng. 146 (1): 04019031. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001423.
DeBoer, D. W., and M. J. Monnens. 2001. “Measurement of sprinkler droplet size.” Appl. Eng. Agric. 17 (1): 11. https://doi.org/10.13031/2013.1931.
De la Noue, A. C., M. Estienney, S. Aho, J. M. Perrier-Cornet, A. de Rougemont, P. Pothier, and G. Belliot. 2014. “Absolute humidity influences the seasonal persistence and infectivity of human norovirus.” Appl. Environ. Microbiol. 80 (23): 7196–7205. https://doi.org/10.1128/AEM.01871-14.
Donnison, A., C. Ross, M. Noonan, G. Fisher, and J. Waller. 2004. “Bacterial survival and dispersal in spray irrigation aerosols.” N. Z. J. Agric. Res. 47 (4): 575–585. https://doi.org/10.1080/00288233.2004.9513622.
European Commission. 2018. Regulation of the European parlian and of the council on minimum requirements for water reuse. COM/2018/337 final-2018/0169 (COD). Brussels, Belgium: European Commission.
Ferguson, J. C., C. C. O’Donnell, B. S. Chauhan, S. W. Adkins, G. R. Kruger, R. Wang, and A. J. Hewitt. 2015. “Determining the uniformity and consistency of droplet size across spray drift reducing nozzles in a wind tunnel.” Crop Prot. 76 (Oct): 1–6. https://doi.org/10.1016/j.cropro.2015.06.008.
Filipkowska, Z., W. Janczukowicz, M. Krzemieniewski, and J. Pesta. 2000. “Microbiological air pollution in the surroundings of the wastewater treatment plant with activated-sludge tanks aerated by horizontal rotors.” Polish J. Environ. Stud. 9 (4): 273–280.
Gholipour, S., F. Mohammadi, M. Nikaeen, Z. Shamsizadeh, A. Khazeni, Z. Sahbaei, and H. Mirhendi. 2021. “COVID-19 infection risk from exposure to aerosols of wastewater treatment plants.” Chemosphere 273: 129701.
Gualtieri, C., A. Angeloudis, F. Bombardelli, S. Jha, and T. Stoesser. 2017. “On the values for the turbulent Schmidt number in environmental flows.” Fluids 2 (2): 17. https://doi.org/10.3390/fluids2020017.
Heinonen-Tanski, H., T. Reponen, and J. Koivunen. 2009. “Airborne enteric coliphages and bacteria in sewage treatment plants.” Water Res. 43 (9): 2558–2566. https://doi.org/10.1016/j.watres.2009.03.006.
Hobson, P. A., P. C. H. Miller, P. J. Walklate, C. R. Tuck, and N. M. Western. 1993. “Spray drift from hydraulic spray nozzles: The use of a computer simulation model to examine factors influencing drift.” J. Agric. Eng. Res. 54 (4): 293–305. https://doi.org/10.1006/jaer.1993.1022.
Holmberg, S., and Y. Li. 1998. “Modelling of the indoor environment–particle dispersion and deposition.” Indoor Air 8 (2): 113–122. https://doi.org/10.1111/j.1600-0668.1998.t01-2-00006.x.
Holterman, H. J., J. C. Van De Zande, H. A. J. Porskamp, and J. F. M. Huijsmans. 1997. “Modelling spray drift from boom sprayers.” Comput. Electron. Agric. 19 (1): 1–22. https://doi.org/10.1016/S0168-1699(97)00018-5.
Ishii, M. 1975. Thermo-fluid dynamic theory of two-phase flow. Washington, DC: National Aeronautics and Space Administration.
Ishii, M. 1977. One-dimensional drift-flux model and constitutive equations for relative motion between phases in various two-phase flow regimes. Lemont, IL: Argonne National Lab.
ISO. 2011. Agricultural Irrigation equipment—Sprinklers—Part 1: Definition of terms and classification, Part 3: Characterization of distribution and test methods. ISO 15886. Geneva: ISO.
Khuong, A. D. 2012. “The Eulerian-Lagrangian spray atomization (ELSA) model of the jet atomization in CFD simulations: Evaluation and validation.” Ph.D. dissertation, Dept. of Machines and Thermal Motors, Universitat Politècnica de València.
Korzeniewska, E. 2011. “Emission of bacteria and fungi in the air from wastewater treatment plants—A review.” Front. Biosci.-Scholar 3 (2): 393–407. https://doi.org/10.2741/s159.
Lai, A. C., and F. Chen. 2006. “Modeling particle deposition and distribution in a chamber with a two-equation Reynolds-averaged Navier–Stokes model.” J. Aerosol Sci. 37 (12): 1770–1780. https://doi.org/10.1016/j.jaerosci.2006.06.008.
Launder, B. E., and B. I. Sharma. 1974. “Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disc.” Lett. Heat Mass Transfer 1 (2): 131–137. https://doi.org/10.1016/0094-4548(74)90150-7.
Launder, B. E., and D. B. Spalding. 1983. “The numerical computation of turbulent flows.” In Numerical prediction of flow, heat transfer, turbulence and combustion, 96–116. Oxford, UK: Pergamon.
Li, J., H. Kawano, and K. Yu. 1994. “Droplet size distributions from different shaped sprinkler nozzles.” Trans. ASAE 37 (6): 1871–1878. https://doi.org/10.13031/2013.28278.
Lorenzini, G. 2004. “Simplified modelling of sprinkler droplet dynamics.” Biosyst. Eng. 87 (1): 1–11. https://doi.org/10.1016/j.biosystemseng.2003.08.015.
Masclaux, F. G., P. Hotz, D. Friedli, D. Savova-Bianchi, and A. Oppliger. 2013. “High occurrence of hepatitis E virus in samples from wastewater treatment plants in Switzerland and comparison with other enteric viruses.” Water Res. 47 (14): 5101–5109. https://doi.org/10.1016/j.watres.2013.05.050.
Miller, P. 2003. “The measurement of spray drift.” Pestic. Outlook 14 (5): 205–209. https://doi.org/10.1039/b311466j.
Molle, B., S. Tomas, L. Huet, M. Audouard, Y. Olivier, and J. Granier. 2016. “Experimental approach to assessing aerosol dispersion of treated wastewater distributed via sprinkler irrigation.” J. Irrig. Drain. Eng. 142 (9): 04016031. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001039.
Nuyttens, D., W. A. Taylor, M. De Schampheleire, P. Verboven, and D. Dekeyser. 2009. “Influence of nozzle type and size on drift potential by means of different wind tunnel evaluation methods.” Biosyst. Eng. 103 (3): 271–280. https://doi.org/10.1016/j.biosystemseng.2009.04.001.
Parker, S., J. Nally, T. Foat, and S. Preston. 2010. “Refinement and testing of the drift-flux model for indoor aerosol dispersion and deposition modeling.” J. Aerosol Sci. 41 (10): 921–934. https://doi.org/10.1016/j.jaerosci.2010.07.002.
Phillips, J. C., and P. C. H. Miller. 1999. “Field and wind tunnel measurements of the airborne spray volume downwind of single flat-fan nozzles.” J. Agric. Eng. Res. 72 (2): 161–170. https://doi.org/10.1006/jaer.1998.0359.
Rosin, P., and E. Rammler. 1933. “The laws governing the fineness of powdered coal.” J. Inst. Fuel 7: 29–36.
Schiller, L., and A. Naumann. 1933. “Fundamental calculations in gravitational processing.” Z. Ver. Dtsch. Ing. 77: 318–320.
Stevenin, C., A. Vallet, S. Tomas, M. Amielh, and F. Anselmet. 2016. “Eulerian atomization modeling of a pressure-atomized spray for sprinkler irrigation.” Int. J. Heat Fluid Flow 57 (Feb): 142–149. https://doi.org/10.1016/j.ijheatfluidflow.2015.11.010.
Sun, W., J. Ji, Y. Li, and X. Xie. 2007. “Dispersion and settling characteristics of evaporating droplets in ventilated room.” Build. Environ. 42 (2): 1011–1017. https://doi.org/10.1016/j.buildenv.2005.10.034.
Teunis, P. F., N. Brienen, and M. E. Kretzschmar. 2010. “High infectivity and pathogenicity of influenza A virus via aerosol and droplet transmission.” Epidemics 2 (4): 215–222. https://doi.org/10.1016/j.epidem.2010.10.001.
Thompson, N., and A. J. Ley. 1983. “Estimating spray drift using a random-walk model of evaporating drops.” J. Agric. Eng. Res. 28 (5): 419–435. https://doi.org/10.1016/0021-8634(83)90134-8.
Tyrrell, D. A. J. 1967. “The spread of viruses of the respiratory tract by the airborne route.” Symp. Soc. Gen. Microbiol. 17: 286–306.
Walklate, P. J. 1992. “A simulation study of pesticide drift from an air-assisted orchard sprayer.” J. Agric. Eng. Res. 51 (Jan–Apr): 263–283. https://doi.org/10.1016/0021-8634(92)80042-Q.
Wallis, G. B. 2020. One-dimensional two-phase flow. Mineola, NY: Dover.
Wang, M., C. H. Lin, and Q. Chen. 2012. “Advanced turbulence models for predicting particle transport in enclosed environments.” Build. Environ. 47 (Jan): 40–49. https://doi.org/10.1016/j.buildenv.2011.05.018.
Weller, H. G., G. Tabor, H. Jasak, and C. Fureby. 1998. “A tensorial approach to computational continuum mechanics using object-oriented techniques.” Comput. Phys. 12 (6): 620–631. https://doi.org/10.1063/1.168744.
Zhang, Z., and Q. Chen. 2007. “Comparison of the Eulerian and Lagrangian methods for predicting particle transport in enclosed spaces.” Atmos. Environ. 41 (25): 5236–5248. https://doi.org/10.1016/j.atmosenv.2006.05.086.
Zhao, B., C. Chen, and Z. Tan. 2009. “Modeling of ultrafine particle dispersion in indoor environments with an improved drift flux model.” J. Aerosol Sci. 40 (1): 29–43. https://doi.org/10.1016/j.jaerosci.2008.09.001.
Zhao, B., and J. Chen. 2006. “Numerical analysis of particle deposition in ventilation duct.” Build. Environ. 41 (6): 710–718. https://doi.org/10.1016/j.buildenv.2005.02.030.
Zhao, B., C. Yang, X. Yang, and S. Liu. 2008. “Particle dispersion and deposition in ventilated rooms: Testing and evaluation of different Eulerian and Lagrangian models.” Build. Environ. 43 (4): 388–397. https://doi.org/10.1016/j.buildenv.2007.01.005.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 147Issue 8August 2021

History

Received: Jun 12, 2020
Accepted: Mar 25, 2021
Published online: Jun 11, 2021
Published in print: Aug 1, 2021
Discussion open until: Nov 11, 2021

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Authors

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Ivano Cornacchia
Dept. of Civil and Industrial Engineering, Sapienza Univ. of Rome, Via Eudossiana 18, Rome 00184, Italy.
Gestion de l’eau (G-EAU), AgroParisTech, Cirad, Institut de recherche pour le développement (IRD), Institut national de recherche pour l’agriculture, l’alimentation et l’environnement (INRAE), Montpellier SupAgro, Univ. of Montpellier, Montpellier 34196, France (corresponding author). ORCID: https://orcid.org/0000-0002-8139-1810. Email: [email protected]

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