A CFD study of the transport and fate of airborne droplets in a ventilated office: The role of droplet−droplet interactions
Allan Gomez-Flores, Gukhwa Hwang, Sadia Ilyas, Hyunjung Kim
A CFD study of the transport and fate of airborne droplets in a ventilated office: The role of droplet−droplet interactions
• Coulomb and Lennard−Jones forces were considered for droplet interactions.
• The net droplet interactions were repulsive.
• Repulsive droplet interactions increased the transport of droplets.
• Repulsive droplet interactions significantly modified the fate of droplets.
Previous studies reported that specially designed ventilation systems provide good air quality and safe environment by removing airborne droplets that contain viruses expelled by infected people. These water droplets can be stable in the environment and remain suspended in air for prolonged periods. Encounters between droplets may occur and droplet interactions should be considered. However, the previous studies focused on other physical phenomena (air flow, drag force, evaporation) for droplet transport and neglected droplet interactions. In this work, we used computational fluid dynamics (CFD) to simulate the transport and fate of airborne droplets expelled by an asymptomatic person and considered droplet interactions. Droplet drag with turbulence for prediction of transport and fate of droplets indicated that the turbulence increased the transport of 1 μm droplets, whereas it decreased the transport of 50 μm droplets. In contrast to only considering drag and turbulence, consideration of droplet interactions tended to increase both the transport and fate. Although the length scale of the office is much larger than the droplet sizes, the droplet interactions, which occurred at the initial stages of release when droplet separation distances were shorter, had a significant effect in droplet fate by considerably manipulating the final locations on surfaces where droplets adhered. Therefore, it is proposed that when an exact prediction of transport and fate is required, especially for high droplet concentrations, the effects of droplet interactions should not be ignored.
Droplet interactions / Aerosols / Colloids / CFD / Transport / Fate
[1] |
Abe K, Kondoh T, Nagano Y (1994). A new turbulence model for predicting fluid-flow and heat-transfer in separating and reattaching flows. 1. Flow-field calculations. International Journal of Heat and Mass Transfer, 37(1): 139–151
CrossRef
Google scholar
|
[2] |
Achebe C H, Omenyi S N (2013). Mathematical determination of the critical absolute Hamaker constant of the serum (as an intervening medium) which favours repulsion in the human immunodeficiency virus (HIV)-blood interactions mechanism. In: Proceedings of the World Congress on Engineering of the Imperial College 2013.London: Newswood Limited, Volume 2, 1380–1384
|
[3] |
Asadi S, Bouvier N, Wexler A S, Ristenpart W D (2020). The coronavirus pandemic and aerosols: Does COVID-19 transmit via expiratory particles? Aerosol Science and Technology, 54(6): 635–638
CrossRef
Google scholar
|
[4] |
Asadi S, Wexler A S, Cappa C D, Barreda S, Bouvier N M, Ristenpart W D (2019). Aerosol emission and superemission during human speech increase with voice loudness. Scientific Reports, 9(1): 2348
CrossRef
Google scholar
|
[5] |
Chao C Y H, Wan M P, Morawska L, Johnson G R, Ristovski Z D, Hargreaves M, Mengersen K, Corbett S, Li Y, Xie X, Katoshevski D (2009). Characterization of expiration air jets and droplet size distributions immediately at the mouth opening. Journal of Aerosol Science, 40(2): 122–133
CrossRef
Google scholar
|
[6] |
Czub M, Weingartl H, Czub S, He R T, Cao J X (2005). Evaluation of modified vaccinia virus Ankara based recombinant SARS vaccine in ferrets. Vaccine, 23(17–18): 2273–2279
CrossRef
Google scholar
|
[7] |
Dehbi A (2008). Turbulent particle dispersion in arbitrary wall-bounded geometries: A coupled CFD-Langevin-equation based approach. International Journal of Multiphase Flow, 34(9): 819–828
CrossRef
Google scholar
|
[8] |
Dowell S F, Simmerman J M, Erdman D D, Wu J S J, Chaovavanich A, Javadi M, Yang J Y, Anderson L J, Tong S X, Ho M S (2004). Severe acute respiratory syndrome coronavirus on hospital surfaces. Clinical Infectious Diseases, 39(5): 652–657
CrossRef
Google scholar
|
[9] |
Drossinos Y, Stilianakis N I (2020). What aerosol physics tells us about airborne pathogen transmission. Aerosol Science and Technology, 54(6): 639–643
CrossRef
Google scholar
|
[10] |
Gao N P, Niu J L (2006). Transient CFD simulation of the respiration process and inter-person exposure assessment. Building and Environment, 41(9): 1214–1222
CrossRef
Google scholar
|
[11] |
Gao N P, Niu J L, Morawska L (2008). Distribution of respiratory droplets in enclosed environments under different air distribution methods. Building Simulation, 1(4): 326–335
CrossRef
Google scholar
|
[12] |
Gentile G J, Cruz M C, Rajal V B, Fidalgo de Cortalezzi M M F (2018). Electrostatic interactions in virus removal by ultrafiltration membranes. Journal of Environmental Chemical Engineering, 6(1): 1314–1321
CrossRef
Google scholar
|
[13] |
Gomez-Flores A, Bradford S A, Hwang G, Heyes G W, Kim H (2020). Particle-bubble interaction energies for particles with physical and chemical heterogeneities. Minerals Engineering, 155(1): 106472
CrossRef
Google scholar
|
[14] |
Haas F C (1964). Stability of droplets suddenly exposed to a high velocity gas stream. AIChE Journal. American Institute of Chemical Engineers, 10(6): 920–924
CrossRef
Google scholar
|
[15] |
Hagenaars N, Mastrobattista E, Verheul R J, Mooren I, Glansbeek H L, Heldens J G M, Van Den Bosch H, Jiskoot W (2009). Physicochemical and immunological characterization of N,N,N-trimethyl chitosan-coated whole inactivated influenza virus vaccine for intranasal administration. Pharmaceutical Research, 26(6): 1353–1364
CrossRef
Google scholar
|
[16] |
He Q B, Niu J L, Gao N P, Zhu T, Wu J Z (2011). CFD study of exhaled droplet transmission between occupants under different ventilation strategies in a typical office room. Building and Environment, 46(2): 397–408
CrossRef
Google scholar
|
[17] |
He Y X, Zhou Y S, Siddiqui P, Jiang S B (2004). Inactivated SARS-CoV vaccine elicits high titers of spike protein-specific antibodies that block receptor binding and virus entry. Biochemical and Biophysical Research Communications, 325(2): 445–452
CrossRef
Google scholar
|
[18] |
Isella L, Drossinos Y (2010). Langevin agglomeration of nanoparticles interacting via a central potential. Physical Review. E, 82(1): 011404
CrossRef
Google scholar
|
[19] |
Joshi J B, Nere N K, Rane C V, Murthy B N, Mathpati C S, Patwardhan A W, Ranade V V (2011). CFD simulation of stirred tanks: Comparison of turbulence models. Part I: Radial flow impellers. Canadian Journal of Chemical Engineering, 89(1): 23–82
CrossRef
Google scholar
|
[20] |
Kampf G, Todt D, Pfaender S, Steinmann E (2020). Persistence of coronaviruses on inanimate surfaces and their inactivation with biocidal agents. Journal of Hospital Infection, 104(3): 246–251
CrossRef
Google scholar
|
[21] |
Kao P H, Yang R J (2006). Virus diffusion in isolation rooms. Journal of Hospital Infection, 62(3): 338–345
CrossRef
Google scholar
|
[22] |
Katopodes N D (2019). Free-surface flow: environmental fluid mechanics.Kidlington: Butterworth-Heinemann, 1 online resource
|
[23] |
Khachatourian A V, Wistrom A O (2001). Size effects in aerosol electrostatic interactions. Journal of Colloid and Interface Science, 242(1): 52–58
CrossRef
Google scholar
|
[24] |
Liu X, Zhai Z Q (2007). Identification of appropriate CFD models for simulating aerosol particle and droplet indoor transport. Indoor and Built Environment, 16(4): 322–330
CrossRef
Google scholar
|
[25] |
Liu Y, Ning Z, Chen Y, Guo M, Liu Y, Gali N K, Sun L, Duan Y, Cai J, Westerdahl D, Liu X, Ho K F, Kan H, Fu Q, Lan K (2020). Aerodynamic characteristics and RNA concentration of SARS-CoV-2 aerosol in two hospitals during COVID-19 outbreak. bioRxiv, 2020: 2020.2003.2008.982637
CrossRef
Google scholar
|
[26] |
Ma C Q, Li Y, Wang L L, Zhao G Y, Tao X R, Tseng C T K, Zhou Y S, Du L Y, Jiang S B (2014). Intranasal vaccination with recombinant receptor-binding domain of MERS-CoV spike protein induces much stronger local mucosal immune responses than subcutaneous immunization: Implication for designing novel mucosal MERS vaccines. Vaccine, 32(18): 2100–2108
CrossRef
Google scholar
|
[27] |
Matida E A, Finlay W H, Lange C F, Grgic B (2004). Improved numerical simulation of aerosol deposition in an idealized mouth-throat. Journal of Aerosol Science, 35(1): 1–19
CrossRef
Google scholar
|
[28] |
Minier J P (2015). On Lagrangian stochastic methods for turbulent polydisperse two-phase reactive flows. Progress in Energy and Combustion Science, 50: 1–62
CrossRef
Google scholar
|
[29] |
Mofakham A A, Ahmadi G (2020). On random walk models for simulation of particle-laden turbulent flows. International Journal of Multiphase Flow, 122(1): 103157
CrossRef
Google scholar
|
[30] |
Mui K W, Wong L T, Wu C L, Lai A C K (2009). Numerical modeling of exhaled droplet nuclei dispersion and mixing in indoor environments. Journal of Hazardous Materials, 167(1–3): 736–744
CrossRef
Google scholar
|
[31] |
Nguyen A V, An-Vo D A, Tran-Cong T, Evans G M (2016). A review of stochastic description of the turbulence effect on bubble-particle interactions in flotation. International Journal of Mineral Processing, 156: 75–86
CrossRef
Google scholar
|
[32] |
Ong S W X, Tan Y K, Chia P Y, Lee T H, Ng O T, Wong M S Y, Marimuthu K (2020). Air, surface environmental, and personal protective equipment contamination by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) from a symptomatic patient. Journal of the American Medical Association, 323(16): 1610–1612
|
[33] |
Park D Y, Chang S (2019). Numerical investigation of thermal comfort and transport of expiratory contaminants in a ventilated office with an air curtain system. Indoor and Built Environment, 28(3): 401–421
|
[34] |
Praskievicz S, Chang H J (2009). Identifying the relationships between urban water consumption and weather variables in Seoul, Republic of Korea. Physical Geography, 30(4): 324–337
CrossRef
Google scholar
|
[35] |
Redrow J, Mao S L, Celik I, Posada J A, Feng Z G (2011). Modeling the evaporation and dispersion of airborne sputum droplets expelled from a human cough. Building and Environment, 46(10): 2042–2051
CrossRef
Google scholar
|
[36] |
Santarpia J L, Rivera D N, Herrera V L, Morwitzer M J, Creager H M, Santarpia G W, Crown K K, Brett-Major D M, Schnaubelt E R, Broadhurst M J, Lawler J V, Reid S P, Lowe J J (2020). Aerosol and surface contamination of SARS-CoV-2 observed in quarantine and isolation care. Scientific Reports, 10(1): 1273210.1038/s41598-020-69286-3
|
[37] |
Shang W L, Yang Y, Rao Y F, Rao X C (2020). The outbreak of SARS-CoV-2 pneumonia calls for viral vaccines. NPJ Vaccines, 5(1): 18
CrossRef
Google scholar
|
[38] |
Squires P (1958). The microstructure and colloidal stability of warm clouds. 2. The causes of the variations in microstructure. Tellus, 10(2): 262–271
CrossRef
Google scholar
|
[39] |
Stadnytskyi V, Bax C E, Bax A, Anfinrud P (2020). The airborne lifetime of small speech droplets and their potential importance in SARS-CoV-2 transmission. Proceedings of the National Academy of Sciences of the United States of America, 117(22): 11875–11877
CrossRef
Google scholar
|
[40] |
Sun W, Ji J (2007). Transport of droplets expelled by coughing in ventilated rooms. Indoor and Built Environment, 16(6): 493–504
CrossRef
Google scholar
|
[41] |
Thomson D J (1987). Criteria for the selection of stochastic-models of particle trajectories in turbulent flows. Journal of Fluid Mechanics, 180(1): 529–556
CrossRef
Google scholar
|
[42] |
van Doremalen N, Bushmaker T, Morris D H, Holbrook M G, Gamble A, Williamson B N, Tamin A, Harcourt J L, Thornburg N J, Gerber S I, Lloyd-Smith J O, de Wit E, Munster V J (2020). Aerosol and surface stability of SARS-CoV-2 as compared with SARS-CoV-1. New England Journal of Medicine, 382(16): 1564–1567
CrossRef
Google scholar
|
[43] |
Vohra K G, Nair P V N (1971). Stability of submicron aqueous solution droplets in the atmosphere. Journal of the Atmospheric Sciences, 28(2): 280–285
CrossRef
Google scholar
|
[44] |
Walls A C, Park Y J, Tortorici M A, Wall A, Mcguire A T, Veesler D (2020). Structure, function, and antigenicity of the SARS-CoV-2 spike glycoprotein. Cell, 181(2): 281–292.e6
CrossRef
Google scholar
|
[45] |
Wang L S, Shi W, Joyce M G, Modjarrad K, Zhang Y, Leung K, Lees C R, Zhou T Q, Yassine H M, Kanekiyo M, Yang Z Y, Chen X J, Becker M M, Freeman M, Vogel L, Johnson J C, Olinger G, Todd J P, Bagci U, Solomon J, Mollura D J, Hensley L, Jahrling P, Denison M R, Rao S S, Subbarao K, Kwong P D, Mascola J R, Kong W P, Graham B S (2015). Evaluation of candidate vaccine approaches for MERS-CoV. Nature Communications, 6(1): 7712
CrossRef
Google scholar
|
[46] |
W.H.O. (2020). Getting your workplace ready for COVID-19: How COVID-19 spreads? Geneva: World Health Organization (WHO)
|
[47] |
Wu J, Ping Z (2020). Association of COVID-19 disease severity with transmission routes and suggested changes to community guidelines. Preprints, 2020:202003.0246.v1
|
[48] |
Xie X J, Li Y G, Sun H Q, Liu L (2009). Exhaled droplets due to talking and coughing. Journal of the Royal Society, Interface, 6(suppl_6): S703–S714
CrossRef
Google scholar
|
[49] |
Yan W, Zhang Y H, Sun Y G, Li D N (2009). Experimental and CFD study of unsteady airborne pollutant transport within an aircraft cabin mock-up. Building and Environment, 44(1): 34–43
CrossRef
Google scholar
|
[50] |
Yu I T S, Li Y G, Wong T W, Tam W, Chan A T, Lee J H W, Leung D Y C, Ho T (2004). Evidence of airborne transmission of the severe acute respiratory syndrome virus. New England Journal of Medicine, 350(17): 1731–1739
CrossRef
Google scholar
|
[51] |
Zhang H, Li D, Xie L, Xiao Y (2015). Documentary research of human respiratory droplet characteristics. Procedia Engineering, 121: 1365–1374
CrossRef
Google scholar
|
[52] |
Zhu S W, Kato S, Yang J H (2006). Study on transport characteristics of saliva droplets produced by coughing in a calm indoor environment. Building and Environment, 41(12): 1691–1702
CrossRef
Google scholar
|
[53] |
Zhu S W, Srebric J, Spengler J D, Demokritou P (2012). An advanced numerical model for the assessment of airborne transmission of influenza in bus microenvironments. Building and Environment, 47: 67–75
CrossRef
Google scholar
|
/
〈 | 〉 |