logo
CONTENT TYPES

COVID-19: Effects of Environmental Conditions on the Propagation of Respiratory Droplets

  • Lei Zhao
    Lei Zhao
    Department of Mechanical Engineering, University of California Santa Barbara, Santa Barbara, California 93106, United States
    More by Lei Zhao
  • Yuhang Qi
    Yuhang Qi
    Department of Mechanical Engineering, University of California Santa Barbara, Santa Barbara, California 93106, United States
    More by Yuhang Qi
  • Paolo Luzzatto-Fegiz
    Paolo Luzzatto-Fegiz
    Department of Mechanical Engineering, University of California Santa Barbara, Santa Barbara, California 93106, United States
  • Yi Cui
    Yi Cui
    Department of Materials Science and Engineering, Stanford University, Stanford, California 94305, United States
    Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, California 94025, United States
    More by Yi Cui
  • , and 
  • Yangying Zhu*
    Yangying Zhu
    Department of Mechanical Engineering, University of California Santa Barbara, Santa Barbara, California 93106, United States
    *Email: [email protected]
    More by Yangying Zhu
Cite this: Nano Lett. 2020, 20, 10, 7744–7750
Publication Date (Web):September 10, 2020
https://doi.org/10.1021/acs.nanolett.0c03331
Copyright © 2020 American Chemical Society
Article Views
7001
Altmetric
-
Citations
LEARN ABOUT THESE METRICS
PDF (3 MB)
Supporting Info (1)»

Abstract

As coronavirus disease 2019 (COVID-19) continues to spread, a detailed understanding on the transmission mechanisms is of paramount importance. The disease transmits mainly through respiratory droplets and aerosol. Although models for the evaporation and trajectory of respiratory droplets have been developed, how the environment impacts the transmission of COVID-19 is still unclear. In this study, we investigate the propagation of respiratory droplets and aerosol particles generated by speech under a wide range of temperatures (0–40 °C) and relative humidity (0–92%) conditions. We show that droplets can travel three times farther in low-temperature and high-humidity environment, whereas the number of aerosol particles increases in high-temperature and low-humidity environments. The results also underscore the importance of proper ventilation, as droplets and aerosol spread significantly farther in airstreams. This study contributes to the understanding of the environmental impact on COVID-19 transmission.

 Note

Due to a produection error, this paper was published ASAP on September 15, 2020, with the wrong graphic for Figure 2. The corrected version was reposted on September 16, 2020.

  Note

This article is made available via the ACS COVID-19 subset for unrestricted RESEARCH re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.

Coronavirus disease 2019 (COVID-19) is an ongoing global pandemic with more than 18 million confirmed cases and more than 700 000 deaths as of August 6, 2020.(1) The disease is caused by the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2).(2−5) Among known transmitting pathways of SARS-CoV-2,(6,7) transmission via respiratory droplets and aerosol is believed to be a primary mode.(8,9) As influenza usually vanishes in the summer(10,11) and the SARS epidemic was effectively contained in the summer of 2003,(12) there have been earlier speculations that the current pandemic of COVID-19 may well ebb as the weather warms.(13) However, the number of confirmed cases of COVID-19 continues to rise rapidly as of August.(1) Therefore, a detailed understanding on the transmission mechanisms of SARS-CoV-2 under different environmental conditions is of paramount importance.

In general, environmental factors can impact the transmission of respiratory diseases through affecting the infectivity of the pathogens(14,15) and the propagation of respiratory droplets.(16−18) A hypothesis for the sustained high transmissibility of COVID-19 even in the summer is that SARS-CoV-2 is more persistent at high temperatures compared to influenza and SARS. A number of studies have investigated the resistance of incubated and aerosolized SARS-CoV-2 to heat and humidity.(19−21) Although more studies are needed to confirm the activity of SARS-CoV-2 in different environments, the virus can generally remain infectious from several minutes to longer than a day in various environments, much longer than the traveling time of respiratory droplets to reach another person through speech or a sneeze.(22,23) Therefore, understanding how environmental conditions impact the propagation of respiratory droplets becomes increasingly important.

The propagation of respiratory droplets plays a critical role in delivering pathogen-carrying agents to susceptible hosts. Respiratory droplets are generated by talking, coughing, and sneezing, with initial speeds ranging from ∼1 to >100 m/s.(23−25) Extensive studies have been conducted to investigate the formation,(17,18) traveling,(16−18,25,26) and infectivity(27,28) of respiratory droplets. The airborne spread of small respiratory droplets and droplet nuclei under different indoor configurations and ventilation designs have been studied to evaluate the indoor infections.(29−31) Predictions of the infection probability under certain circumstances have been reported as well.(32−34) These past studies suggest that, during the spread of respiratory droplets, both aerodynamics and evaporation determine the effectiveness of virus propagation. Although models for the evaporation and trajectory of respiratory droplets have been developed,(26,35,36) how the environmental temperature, humidity, and air velocity impact the transmission of COVID-19 is still unclear. Under certain environmental conditions, how far can the virus carriers travel on average? What fraction of droplets will turn into aerosol particles? What role do the HVAC and air conditioning systems play in virus propagation? Quantitative answers to these practical questions can provide urgently needed guidance to both policy makers and the general public, e.g., on environment-specific social distancing rules.

In this study, we investigate the influence of environmental conditions including temperature, humidity and airflow velocity, on the propagation of speech respiratory droplets. We solve the kinematic equations to analyze the transport, accumulation, and deposition of respiratory aerosol particles and calculate the spreading distance of speech droplets based on previous modeling frameworks(26,35,36) for the evaporation and trajectory of a single droplet. We evaluate the results under a wide range of temperature (0–40 °C) and relative humidity (0–92%) conditions, including weather conditions based on U.S. geographical locations. The results suggest that droplets travel farther in low-temperature and high-humidity environments, whereas the number of aerosol particles increases in high-temperature and low-humidity environments. In particular, the 6 feet of physical distance recommended by the Centers for Disease Control and Prevention (CDC) is insufficient to eliminate all possible droplet contacts in certain cold and humid environments. The risk of aerosol transmission may be increased in summer, as hot and dry environments facilitate the accumulation of PM2.5. This study highlights the need for adaptive public health precautions based on seasonal weather variations and the local environment and contributes to the understanding of the environmental impact of COVID-19 transmission.

Figure 1 presents the fate of respiratory droplets. Once released, the droplets begin to evaporate while moving under various forces (gravity, buoyancy, and air drag).(26,35,36) As a result, large droplets can directly land on another person, and small droplets dehydrate and become solid aerosol particles containing pathogens, salts, enzymes, cells, and surfactants (Figure 1). The aerosol particles defined here are different from the airborne aerosol defined by the World Health Organization (WHO),(37) which employed a straight 5 μm cutoff. Aerosol particles are capable of causing long-range infection because of their long suspension time in air.(21,38,39) On the other hand, the infection range of large droplets is limited to a relatively short distance, because the droplets can directly land on the upper body of another person before drying. Therefore, we define a critical distance Lmax as the maximum horizontal distance that all respiratory droplets can travel before they either shrink to aerosol particles or descend to the level of another person’s hands (H/2 from the ground, where H is the person’s height, Figure S5).

Figure 1

Figure 1. Transmission of COVID-19 through droplets and aerosol particles. After being exhaled by a patient, respiratory droplets with various sizes will travel and simultaneously evaporate in the ambient environment. Small-sized droplets dry immediately to form a cloud of aerosol particles. These particles will suspend in the air for a significant amount of time. Large-sized droplets can reach a limited distance and fall to the ground due to gravity. We define Lmax as the maximum horizontal distance that droplets can travel before they either become dry aerosol particles or descend below the level of another person’s hands, i.e., H/2 from the ground, where H is the height of another person.

Understanding how the environment affects transmission of COVID-19 requires predicting Lmax as well as the number of aerosol particles generated. Before a respiratory droplet evolve into aerosol particle, the evaporation dynamics and the trajectory of the droplet have been modeled by previous works,(26,35,36) based on aerodynamics, kinematics, and heat and mass transfer. These modeling frameworks are used in this study to predict Lmax and aerosolization rate φa (defined as the percentage of droplets that become aerosol particles) for a cluster of speech droplets in different environments. After respiratory droplets completely dehydrate, we solve the kinematic equations to analyze the transport, accumulation, and deposition of residual aerosol particles. The detailed model formulations, including the dynamic analysis on droplets, Brownian motion, and kinematic analysis on aerosol particles, are provided in the Supporting Information.

Key parameters considered in this study include the initial droplet velocity v0, the distribution of initial droplet size d0, environmental temperature T, relative humidity RH, and background air velocity Vair. The initial velocity v0 of droplets was taken as 4.1 m/s for speaking.(40) We focus on modeling speech droplets to mimic a social distancing situation where people keep a reasonable physical distance and only sneeze/cough into a tissue or their elbows. The probability distribution of initial droplet diameter d0 is derived from a previous work.(41) The initial temperature T0 of exhaled droplets was set to be 33 °C.(42) For the environment, we used Vair = 0.3 m/s in a horizontal direction as the wind speed for a typical indoor environment(43) and varied Vair from 0 to 3 m/s when analyzing the effect of wind. Respiratory droplets are assumed as a physiological saline solution (0.9% weight fraction)(26) for simplicity. Even though most buildings in the United States are maintained at 21–24 °C all year round,(44) many regions in the world do not have proper air-conditioning systems. In addition, the temperature and humidity of some industrial settings such as meat processing plants are maintained outside typical set points of residential buildings, and superspreading events have been reported therein. Therefore, we vary environmental temperature T and relative humidity RH from 0 to 42 °C and 0–0.92, respectively, to include diverse situations.

The results are presented in Figure 2. For transmission via droplet contact, we plotted Lmax, as defined previously, under different temperature and humidity conditions. Figure 2a shows that droplets can travel a longer distance in humid and cool environments. Therefore, such environments require a longer physical distance. In extremely cold and humid scenarios, droplets can reach as far as 6 m. On the other hand, respiratory droplets evaporate faster in hot and dry environments (Figure S4). As those droplets sharply decrease in size, the horizontal traveling distance is reduced because of the growing damping effect of air. In most regions of Figure 2a, Lmax exceeds 1.8 m, i.e., the 6 feet of physical distance recommended by CDC. Therefore, current social distancing guidelines may be insufficient in preventing transmission via droplet contact, especially for cold and humid environments.

Figure 2

Figure 2. Effect of environmental factors on the transmission of COVID-19 via means of droplet contact and exposure to aerosol particles, respectively. (a) Maximum droplet traveling distance Lmax under different weather conditions in terms of temperature and relative humidity. Droplets can reach a longer distance in a cool and humid environment. (b) Aerosolization rate φa, defined as the percentage of respiratory droplets turning into aerosol particles that can potentially travel beyond Lmax, under different weather conditions in terms of temperature and humidity. (c) Average diameter of completely dry aerosol particles, under different weather conditions. (d) Total mass of PM2.5 floating in air that are produced by respiratory droplets per person at steady state in an enclosed space.

A quick remark regarding droplet-based transmission is that, if we consider a relaxed standard that only blocks 95% of viruses carried by respiratory droplets (excluding viruses carried by aerosol particles), this distance occurs at 1.4 m based on our results (Figure S7). Here we assumed a constant concentration of the virus in the droplets and the number of viruses is consequently proportional to the initial mass of respiratory droplets.(45) Interestingly, we find that this relaxed social distancing standard does not show an apparent dependence on the environment (see the Supporting Information). Therefore, 1.4 m may serve as a relaxed weather-independent criterion that can prevent the majority of viruses from directly landing on another person. Caution is still required as this relaxed rule does not block transmission via aerosol particles and is evaluated for speaking mode with an air velocity of 0.3 m/s. As discussed in a later section, this distance increases for an increased air velocity.

We also predict the aerosolization rate φa in different environments to evaluate the potential risk of transmission via aerosol particles. This transmission mode can be highly effective,(46) as evidenced by the increasing number of superspreading events that occurred at indoor environments. In contrast to the trend observed for Lmax, Figure 2b predicts an increasing aerosolization rate φa for hot and dry environments. The terminal sizes of these aerosol particles are in the range of 1–15 μm based on our results (Figure 2c and Figure S8). Such small particles can potentially suspend in air for hours(34,38) before settling (Figure S8) and tend to accumulate in public areas such as schools, offices, hotels, and hospitals. Therefore, the long-range infection induced by aerosol particles deserves more attention in summer, especially in dry weather.

The effectiveness of aerosol transmission also relies on the ability of aerosol particles to infiltrate respiratory tracts. Generally, small particles are able to infiltrate deeper in the respiratory tract to establish infections, as they can travel with the inhaled air current and avoid impaction within the nasal region.(27) In particular, the filtration efficiency of facial masks is also dependent on the particulate diameter and the proportion between aerosol particles and droplets.(47) Therefore, understanding the transport and size distribution of aerosol particles can provide key information to the design and fabrication of proper facial coverings under different circumstances to ensure optimal protection. We calculate the average diameter of aerosol particles floating in air under different weather conditions. The terminal size of an aerosol particle after dehydration is calculated by approximating to the volume of sodium chloride originally dissolved in the aqueous solution. The volume of viruses, estimated on the basis of the reported viral load in clinical samples(48) and the diameter of the virus,(49) is negligible compared to that of the salt contained in respiratory liquids. Therefore, we only considered the salt when modeling the size of aerosol particles (see the Supporting Information). Figure 2c demonstrates that aerosol particles have average diameters between 2 and 5 μm, and the maximum diameters are generally smaller than 10 μm, indicative of their strong ability to penetrate into the human respiratory system. The average particle diameter is increased for hot and dry weather, because more large droplets can completely evaporate because of enhanced evaporation (Figure 2b).

Because PM2.5 has been associated with a higher possibility of reaching the lung,(50) we then discuss the transport and deposition of aerosol particles classified within PM2.5 in different environment. We first computed the size-dependent suspension time ts from the following equation:(1)where ve is the falling velocity of the aerosol particle by assuming gravity is entirely balanced by buoyancy and air drag, vt is the downward velocity of the aerosol particle at the time of drying out. If we neglect the Brownian motion, the time constant τ of the microsized droplet/particle can be written as (see the Supporting Information for details on Brownian motion and τ)(2)where ρd is the density of the droplet, r is the droplet radius, and μa is the dynamic viscosity of air. For respiratory droplets with diameters smaller than 100 μm, the time constant τ is less than 0.05 s, indicative of a strong damping effect of air. Although large aerosol particles can be suspended in air for at least 25 min, small aerosol particles are suspended substantially longer (Figure S8b), which agrees with the previous literature.(18)

We further calculate the steady-state total mass md of PM2.5 produced by one patient that speaks continuously in an enclosed and unventilated space with a volume of Ve. The generation rate of speech droplets is from a previous study.(51) The steady state is reached when the number of aerosol particles produced from speaking is equal to the number of particles depositing onto the ground. Given the value of Ve and the average number of patients, md can be used to estimate the number density of pathogen-carrying PM2.5 in air. Figure 2d presents md in different environmental conditions. There is slightly more PM2.5 suspending in air in a hot and dry environment than in a cold and humid environment. This is mainly due to the increased suspension time in hot and dry environments as a result of the corresponding thermophysical properties of the air. Combining Figure 2b and d, the hot and dry environment not only increases the percentage of respiratory droplets turning into aerosols but also facilitates the accumulation of PM2.5 in an enclosed space. These observations raise concerns over aerosol transmission of COVID-19 in summertime, especially when the humidity is low.

Background air velocity is another environmental factor that impact the transmission of contagious diseases.(52−54) Here, we investigate the effect of the velocity of a horizontal airflow on the droplet spreading distance and aerosolization rate under a typical environment (T = 23 °C, RH = 0.50). In practice, the air velocity distribution can be quite complex, and detailed CFD models are required for a more accurate prediction.(55,56) For indoor conditions, air velocity is generally maintained below 0.3 m/s for thermal comfort purposes.(57) We change the air speed from completely stagnant (Vair = 0 m/s) to Vair = 3 m/s to include diverse environmental settings. For a worst-case estimation, we consider a scenario where the airflow is always directed from a patient to another susceptible host. As shown in Figure 3, the spreading distance of droplets increases dramatically as the airflow velocity increases, which can reach 23 m at Vair = 3 m/s. In addition, the spreading distance of aerosol particles is greatly increased as well, as they are smaller in size and travel with the wind. In summary, improper airflow configurations may expand the traveling distance of pathogen-carrying droplets and aerosol particles, although introducing fresh outdoor air can effectively dilute the accumulation of infectious aerosol particles.(52) This poses stringent requirements on the meticulous design of ventilation configurations in nonhospital facilities, so as to curb the transmission of COVID-19.

Figure 3

Figure 3. Effect of a horizontal, constant background airflow. Droplet spreading distance Lmax as a function of a horizontal, constant air speed.

To help evaluate the risk of infections in different regions across the United States, we computed Lmax and φa based on the average weather conditions of each state in August,(58) and the results are shown in Figure 4 a and b. The weather data we collected are a monthly average over day and night as well as rural and urban regions. Figure 4 shows that, the inland regions are more vulnerable to aerosolization of viruses and the coastal regions should be cautious of droplet-based infections. California, on average, exhibits a higher risk of droplet spreading but a lower risk of infection induced by aerosol particles (Figure 4a and b). However, within the state of California, strong variations exist as shown in Figure 4c and d. Note that Figure 4c and d was plotted using the average temperature and relative humidity in the afternoon of August.(58) We also analyzed Lmax and φa in major U.S. cities in both summer (August) and winter (December) climates, as shown in Figure 4e and f. Compared to summer, there is a higher chance of droplet-based infections in winter, whereas the aerosolization rate merely changes. Considering the extreme stability of SARS-CoV-2 at low temperature,(19) a recurrent wintertime outbreak of COVID-19 is entirely probable.

Figure 4

Figure 4. Geographical distribution of droplet spreading distance and aerosolization rate across the United States. (a) Spreading distance Lmax and (b) aerosolization rate φa in each U.S. state based on its monthly average weather condition in August. County-by-county distribution of (c) spreading distance Lmax and (d) aerosolization rate φa in California based on their monthly average weather conditions for August afternoons. (e) Safe distance Lmax and (f) aerosolization rate φa in major U.S. cities in summer and winter. Indoor wind speed is assumed (Vair = 0.3 m/s).

To summarize, we investigate the effect of environmental temperature, relative humidity, and airflow velocity on the propagation of respiratory droplets and accumulation of aerosol particles in order to elucidate environmental impacts on the transmission of COVID-19. We show that droplets travel farther in low-temperature and high-humidity environments, whereas the number of aerosol particles increases in high-temperature and low-humidity environments. The current social distancing standard is insufficient in many situations, as droplets may reach as far as 6 m in extremely cold and humid environments. Alternatively, a relaxed standard of 1.4 m is able to block 95% of the viruses carried by respiratory droplets (excluding that carried by aerosol particles) and shows negligible variation over different environmental conditions. Improper airflow can dramatically increase the traveling distance of both droplets and aerosol particles and consequently increases the risk of COVID-19 transmission. Although particulate diameter differs over different environmental settings, proper and adaptive face-coverings based on the aerosolization of respiratory droplets is recommended.(59−61) These findings suggest that adaptive public health measures should be taken in accordance with seasonal weather variations and local environments. The insights gained from this study may shed light on the course of development of the current pandemic, when combined with systematic epidemiological studies.

Supporting Information

ARTICLE SECTIONS
Jump To

The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acs.nanolett.0c03331.

  • Detailed information about the modeling framework, analysis on the Brownian motion, size distribution and evaporation dynamics of respiratory droplets, distance-dependent viral load distribution, and calculation of suspending aerosol particles (PDF)

Terms & Conditions

Most electronic Supporting Information files are available without a subscription to ACS Web Editions. Such files may be downloaded by article for research use (if there is a public use license linked to the relevant article, that license may permit other uses). Permission may be obtained from ACS for other uses through requests via the RightsLink permission system: http://pubs.acs.org/page/copyright/permissions.html.

Author Information

ARTICLE SECTIONS
Jump To

  • Corresponding Author
    • Yangying Zhu - Department of Mechanical Engineering, University of California Santa Barbara, Santa Barbara, California 93106, United States Email: [email protected]
  • Authors
    • Lei Zhao - Department of Mechanical Engineering, University of California Santa Barbara, Santa Barbara, California 93106, United StatesOrcidhttp://orcid.org/0000-0002-1743-2606
    • Yuhang Qi - Department of Mechanical Engineering, University of California Santa Barbara, Santa Barbara, California 93106, United States
    • Paolo Luzzatto-Fegiz - Department of Mechanical Engineering, University of California Santa Barbara, Santa Barbara, California 93106, United States
    • Yi Cui - Department of Materials Science and Engineering, Stanford University, Stanford, California 94305, United StatesStanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, California 94025, United StatesOrcidhttp://orcid.org/0000-0002-6103-6352
  • Notes

    The authors declare the following competing financial interest(s): Y.C. is a cofounder and shareholder of the company 4C Air, Inc. He is a co-inventor on patent PCT/US2015/065608.

Acknowledgments

ARTICLE SECTIONS
Jump To

This work is supported by the startup funding from University of California, Santa Barbara. We acknowledge synergies made possible by a UCSB VCR COVID-19 Seed Grant to P.L.-F.

References

ARTICLE SECTIONS
Jump To

This article references 61 other publications.

  1. 1
    Dong, E.; Du, H.; Gardner, L. An Interactive Web-Based Dashboard to Track COVID-19 in Real Time. Lancet Infect. Dis. 2020, 20 (5), 533534,  DOI: 10.1016/S1473-3099(20)30120-1
  2. 2
    Zhou, P.; Yang, X.-L.; Wang, X.-G.; Hu, B.; Zhang, L.; Zhang, W.; Si, H.-R.; Zhu, Y.; Li, B.; Huang, C.-L.; others A Pneumonia Outbreak Associated with a New Coronavirus of Probable Bat Origin. Nature 2020, 579 (7798), 270273,  DOI: 10.1038/s41586-020-2012-7
  3. 3
    Wu, F.; Zhao, S.; Yu, B.; Chen, Y.-M.; Wang, W.; Song, Z.-G.; Hu, Y.; Tao, Z.-W.; Tian, J.-H.; Pei, Y.-Y.; others A New Coronavirus Associated with Human Respiratory Disease in China. Nature 2020, 579 (7798), 265269,  DOI: 10.1038/s41586-020-2008-3
  4. 4
    Guan, W.; Ni, Z.; Hu, Y.; Liang, W.; Ou, C.; He, J.; Liu, L.; Shan, H.; Lei, C.; Hui, D. S.; others Clinical Characteristics of Coronavirus Disease 2019 in China. N. Engl. J. Med. 2020, 382 (18), 17081720,  DOI: 10.1056/NEJMoa2002032
  5. 5
    Letko, M.; Marzi, A.; Munster, V. Functional Assessment of Cell Entry and Receptor Usage for SARS-CoV-2 and Other Lineage B Betacoronaviruses. Nat. Microbiol. 2020, 5 (4), 562569,  DOI: 10.1038/s41564-020-0688-y
  6. 6
    Leung, K.; Wu, J. T.; Liu, D.; Leung, G. M. First-Wave COVID-19 Transmissibility and Severity in China Outside Hubei after Control Measures, and Second-Wave Scenario Planning: A Modelling Impact Assessment. Lancet 2020, 395 (10233), 13821393,  DOI: 10.1016/S0140-6736(20)30746-7
  7. 7
    Arons, M. M.; Hatfield, K. M.; Reddy, S. C. Presymptomatic SARS-CoV-2 Infections and Transmission in a Skilled Nursing Facility. N. Engl. J. Med. 2020, 382, 20812090,  DOI: 10.1056/NEJMoa2008457
  8. 8
    Booth, T. F.; Kournikakis, B.; Bastien, N.; Ho, J.; Kobasa, D.; Stadnyk, L.; Li, Y.; Spence, M.; Paton, S.; Henry, B. Detection of Airborne Severe Acute Respiratory Syndrome (SARS) Coronavirus and Environmental Contamination in SARS Outbreak Units. J. Infect. Dis. 2005, 191 (9), 14721477,  DOI: 10.1086/429634
  9. 9
    Herfst, S.; Schrauwen, E. J.; Linster, M. Airborne Transmission of Influenza A/H5N1 Virus between Ferrets. Science 2012, 336 (6088), 15341541,  DOI: 10.1126/science.1213362
  10. 10
    Ye, C.; Zhu, W.; Yu, J. Understanding the complex seasonality of seasonal influenza A and B virus transmission: Evidence from six years of surveillance data in Shanghai, China. Int. J. Infect. Dis. 2019, 81, 5765,  DOI: 10.1016/j.ijid.2019.01.027
  11. 11
    Lofgren, E.; Fefferman, N. H.; Naumov, Y. N.; Gorski, J.; Naumova, E. N. Influenza seasonality: underlying causes and modeling theories. J. Virol. 2007, 81 (11), 54295436,  DOI: 10.1128/JVI.01680-06
  12. 12
    Likhacheva, A. SARS Revisited. AMA J. Ethics 2006, 8 (4), 219222
  13. 13
    Lipsitch, M. Seasonality of SARS-CoV-2: Will COVID-19 go away on its own in warmer weather? https://ccdd.hsph.harvard.edu/will-covid-19-go-away-on-its-own-in-warmer-weather/ (accessed 2020-05-03).
  14. 14
    Lowen, A. C.; Steel, J. Roles of humidity and temperature in shaping influenza seasonality. J. Virol. 2014, 88 (14), 76927695,  DOI: 10.1128/JVI.03544-13
  15. 15
    Chan, K. H.; Peiris, J. S. M.; Lam, S. Y.; Poon, L. L. M.; Yuen, K. Y.; Seto, W. H. The effects of temperature and relative humidity on the viability of the SARS coronavirus. Adv. Virol. 2011, 2011 (734690), 17,  DOI: 10.1155/2011/734690
  16. 16
    Bourouiba, L. Turbulent Gas Clouds and Respiratory Pathogen Emissions: Potential Implications for Reducing Transmission of COVID-19. JAMA 2020, 323 (18), 18371838,  DOI: 10.1001/jama.2020.4756
  17. 17
    Mittal, R.; Ni, R.; Seo, J.-H. The Flow Physics of COVID-19. J. Fluid Mech. 2020, 894, 894,  DOI: 10.1017/jfm.2020.330
  18. 18
    Scharfman, B. E.; Techet, A. H.; Bush, J. W. M.; Bourouiba, L. Visualization of Sneeze Ejecta: Steps of Fluid Fragmentation Leading to Respiratory Droplets. Exp. Fluids 2016, 57 (2), 24,  DOI: 10.1007/s00348-015-2078-4
  19. 19
    Chin, A.; Chu, J.; Perera, M.; Hui, K.; Yen, H.-L.; Chan, M.; Peiris, M.; Poon, L. Stability of SARS-CoV-2 in Different Environmental Conditions. Lancet Microbe 2020, 1 (1), e10  DOI: 10.1016/S2666-5247(20)30003-3
  20. 20
    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. Aerosol and Surface Stability of SARS-CoV-2 as Compared with SARS-CoV-1. N. Engl. J. Med. 2020, 382 (16), 15641567,  DOI: 10.1056/NEJMc2004973
  21. 21
    Fears, A. C.; Klimstra, W. B.; Duprex, P.; Hartman, A. Comparative Dynamic Aerosol Efficiencies of Three Emergent Coronaviruses and the Unusual Persistence of SARS-CoV-2 in Aerosol Suspensions. medRxiv, 2020, 2020.04.13.20063784. DOI: 10.1101/2020.04.13.20063784v1 (accessed 2020-05-04).
  22. 22
    Stadnytskyi, V.; Bax, C. E.; Bax, A.; Anfinrud, P. The Airborne Lifetime of Small Speech Droplets and Their Potential Importance in SARS-CoV-2 Transmission. Proc. Natl. Acad. Sci. U. S. A. 2020, 117 (22), 1187511877,  DOI: 10.1073/pnas.2006874117
  23. 23
    Xie, X.; Li, Y.; Sun, H.; Liu, L. Exhaled Droplets Due to Talking and Coughing. J. R. Soc., Interface 2009, 6, S703S714,  DOI: 10.1098/rsif.2009.0388.focus
  24. 24
    Cole, E. C.; Cook, C. E. Characterization of Infectious Aerosols in Health Care Facilities: An Aid to Effective Engineering Controls and Preventive Strategies. Am. J. Infect. Control 1998, 26 (4), 453464,  DOI: 10.1016/S0196-6553(98)70046-X
  25. 25
    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. Characterization of expiration air jets and droplet size distributions immediately at the mouth opening. J. Aerosol Sci. 2009, 40 (2), 122133,  DOI: 10.1016/j.jaerosci.2008.10.003
  26. 26
    Xie, X.; Li, Y.; Chwang, A.; Ho, P.; Seto, W. How Far Droplets Can Move in Indoor Environments–Revisiting the Wells Evaporation-Falling Curve. Indoor Air 2007, 17 (3), 211225,  DOI: 10.1111/j.1600-0668.2007.00469.x
  27. 27
    Gralton, J.; Tovey, E.; McLaws, M.-L.; Rawlinson, W. D. The Role of Particle Size in Aerosolised Pathogen Transmission: A Review. J. Infect. 2011, 62 (1), 113,  DOI: 10.1016/j.jinf.2010.11.010
  28. 28
    Kormuth, K. A.; Lin, K.; Prussin, A. J.; Vejerano, E. P.; Tiwari, A. J.; Cox, S. S.; Myerburg, M. M.; Lakdawala, S. S.; Marr, L. C. Influenza Virus Infectivity Is Retained in Aerosols and Droplets Independent of Relative Humidity. J. Infect. Dis. 2018, 218 (5), 739747,  DOI: 10.1093/infdis/jiy221
  29. 29
    Chen, C.; Zhao, B. Some questions on dispersion of human exhaled droplets in ventilation room: answers from numerical investigation. Indoor Air 2010, 20 (2), 95111,  DOI: 10.1111/j.1600-0668.2009.00626.x
  30. 30
    Mui, K. W.; Wong, L. T.; Wu, C. L.; Lai, A. C. Numerical modeling of exhaled droplet nuclei dispersion and mixing in indoor environments. J. Hazard. Mater. 2009, 167 (1–3), 736744,  DOI: 10.1016/j.jhazmat.2009.01.041
  31. 31
    Ai, Z. T.; Melikov, A. K. Airborne spread of expiratory droplet nuclei between the occupants of indoor environments: A review. Indoor Air 2018, 28 (4), 500524,  DOI: 10.1111/ina.12465
  32. 32
    Nicas, M.; Best, D. A Study Quantifying the Hand-to-Face Contact Rate and Its Potential Application to Predicting Respiratory Tract Infection. J. Occup. Environ. Hyg. 2008, 5 (6), 347352,  DOI: 10.1080/15459620802003896
  33. 33
    Nicas, M.; Sun, G. An Integrated Model of Infection Risk in a Health-Care Environment. Risk Anal 2006, 26 (4), 10851096,  DOI: 10.1111/j.1539-6924.2006.00802.x
  34. 34
    Tellier, R. Aerosol Transmission of Influenza A Virus: A Review of New Studies. J. R. Soc., Interface 2009, 6, S783S790,  DOI: 10.1098/rsif.2009.0302.focus
  35. 35
    Wells, W. On Air-Borne Infection: Study II. Droplets and Droplet Nuclei. Am. J. Epidemiol. 1934, 20 (3), 611618,  DOI: 10.1093/oxfordjournals.aje.a118097
  36. 36
    Kukkonen, J.; Vesala, T.; Kulmala, M. The Interdependence of Evaporation and Settling for Airborne Freely Falling Droplets. J. Aerosol Sci. 1989, 20 (7), 749763,  DOI: 10.1016/0021-8502(89)90087-6
  37. 37
    World Health Organization. Infection Prevention and Control of Epidemic-and Pandemic-Prone Acute Respiratory Infections in Health Care. https://www.who.int/csr/bioriskreduction/infection_control/publication/en/ (accessed 2020-05-05).
  38. 38
    Alsved, M.; Bourouiba, L.; Duchaine, C.; Löndahl, J.; Marr, L. C.; Parker, S. T.; Prussin, A. J.; Thomas, R. J. Natural Sources and Experimental Generation of Bioaerosols: Challenges and Perspectives. Aerosol Sci. Technol. 2020, 54 (5), 547571,  DOI: 10.1080/02786826.2019.1682509
  39. 39
    Poulain, S.; Bourouiba, L. Disease Transmission via Drops and Bubbles. Phys. Today 2019, 72 (5), 7071,  DOI: 10.1063/PT.3.4211
  40. 40
    Kwon, S.-B.; Park, J.; Jang, J.; Cho, Y.; Park, D.-S.; Kim, C.; Bae, G.-N.; Jang, A. Study on the Initial Velocity Distribution of Exhaled Air from Coughing and Speaking. Chemosphere 2012, 87 (11), 12601264,  DOI: 10.1016/j.chemosphere.2012.01.032
  41. 41
    Duguid, J. P. The Size and the Duration of Air-Carriage of Respiratory Droplets and Droplet-Nuclei. Epidemiol. Infect. 1946, 44 (6), 471479,  DOI: 10.1017/S0022172400019288
  42. 42
    Höppe, P. Temperatures of Expired Air under Varying Climatic Conditions. Int. J. Biometeorol. 1981, 25 (2), 127132,  DOI: 10.1007/BF02184460
  43. 43
    Baldwin, P. E.; Maynard, A. D. A Survey of Wind Speeds in Indoor Workplaces. Ann. Occup. Hyg. 1998, 42 (5), 303313,  DOI: 10.1016/S0003-4878(98)00031-3
  44. 44
    Hoyt, T.; Arens, E.; Zhang, H. Extending air temperature setpoints: Simulated energy savings and design considerations for new and retrofit buildings. Build. Environ. 2015, 88, 8996,  DOI: 10.1016/j.buildenv.2014.09.010
  45. 45
    Vejerano, E. P.; Marr, L. C. Physico-Chemical Characteristics of Evaporating Respiratory Fluid Droplets. J. R. Soc., Interface 2018, 15 (139), 20170939,  DOI: 10.1098/rsif.2017.0939
  46. 46
    Bahl, P.; Doolan, C.; de Silva, C.; Chughtai, A. A.; Bourouiba, L.; MacIntyre, C. R. Airborne or Droplet Precautions for Health Workers Treating COVID-19?. J. Infect. Dis. 2020,  DOI: 10.1093/infdis/jiaa189
  47. 47
    Shakya, K. M.; Noyes, A.; Kallin, R.; Peltier, R. E. Evaluating the efficacy of cloth facemasks in reducing particulate matter exposure. J. Exposure Sci. Environ. Epidemiol. 2017, 27 (3), 352357,  DOI: 10.1038/jes.2016.42
  48. 48
    Wolfel, R.; Corman, V. M.; Guggemos, W.; Seilmaier, M.; Zange, S.; Muller, M. A.; Niemeyer, D.; Jones, T. C.; Vollmar, P.; Rothe, C. Virological assessment of hospitalized patients with COVID-2019. Nature 2020, 581, 465469,  DOI: 10.1038/s41586-020-2196-x
  49. 49
    Bar-On, Y. M.; Flamholz, A.; Phillips, R.; Milo, R. Science Forum: SARS-CoV-2 (COVID-19) by the numbers. eLife 2020, 9, e57309  DOI: 10.7554/eLife.57309
  50. 50
    Xing, Y.-F.; Xu, Y.-H.; Shi, M.-H.; Lian, Y.-X. The Impact of PM2. 5 on the Human Respiratory System. J. Thorac. Dis. 2016, 8 (1), E69  DOI: 10.3978/j.issn.2072-1439.2016.01.19
  51. 51
    Asadi, S.; Wexler, A. S.; Cappa, C. D.; Barreda, S.; Bouvier, N. M.; Ristenpart, W. D. Aerosol emission and superemission during human speech increase with voice loudness. Sci. Rep. 2019, 9 (1), 110,  DOI: 10.1038/s41598-019-38808-z
  52. 52
    Cedeño-Laurent, J. G.; Williams, A.; MacNaughton, P.; Cao, X.; Eitland, E.; Spengler, J.; Allen, J. Building Evidence for Health: Green Buildings, Current Science, and Future Challenges. Annu. Rev. Public Health 2018, 39 (1), 291308,  DOI: 10.1146/annurev-publhealth-031816-044420
  53. 53
    Li, Y.; Leung, G. M.; Tang, J. W.; Yang, X.; Chao, C. Y.; Lin, J. Z.; Lu, J. W.; Nielsen, P. V.; Niu, J.; Qian, H. Role of Ventilation in Airborne Transmission of Infectious Agents in the Built Environment-a Multidisciplinary Systematic Review. Indoor Air 2007, 17 (1), 218,  DOI: 10.1111/j.1600-0668.2006.00445.x
  54. 54
    Ai, Z. T.; Huang, T.; Melikov, A. K. Airborne Transmission of Exhaled Droplet Nuclei between Occupants in a Room with Horizontal Air Distribution. Build. Environ. 2019, 163, 106328,  DOI: 10.1016/j.buildenv.2019.106328
  55. 55
    Li, Y.; Nielsen, P. V. CFD and ventilation research. Indoor Air 2011, 21 (6), 442453,  DOI: 10.1111/j.1600-0668.2011.00723.x
  56. 56
    Ramponi, R.; Blocken, B. CFD simulation of cross-ventilation for a generic isolated building: impact of computational parameters. Build. Sci. 2012, 53, 3448,  DOI: 10.1016/j.buildenv.2012.01.004
  57. 57
    Owen, M. S. ASHRAE Handbook: HVAC Systems and Equipment; American Society of Heating, Refrigerating and Air-Conditioning Engineers: Atlanta, 2004.
  58. 58
    Weather Averages for the United States.https://www.currentresults.com/Weather/US/weather-averages-index.php (accessed 2020-05-07).
  59. 59
    Liao, L.; Xiao, W.; Zhao, M.; Yu, X.; Wang, H.; Wang, Q.; Chu, S.; Cui, Y. Can N95 Respirators Be Reused after Disinfection? How Many Times?. ACS Nano 2020, 14 (5), 63486356,  DOI: 10.1021/acsnano.0c03597
  60. 60
    Zhao, M.; Liao, L.; Xiao, W.; Yu, X.; Wang, H.; Wang, Q.; Lin, Y. L.; Kilinc-Balci, F. S.; Price, A.; Chu, L.; Chu, M. C.; Chu, S.; Cui, Y. Household materials selection for homemade cloth face coverings and their filtration efficiency enhancement with triboelectric charging. Nano Lett. 2020, 20 (7), 55445552,  DOI: 10.1021/acs.nanolett.0c02211
  61. 61
    Konda, A.; Prakash, A.; Moss, G. A.; Schmoldt, M.; Grant, G. D.; Guha, S. Aerosol filtration efficiency of common fabrics used in respiratory cloth masks. ACS Nano 2020, 14 (5), 63396347,  DOI: 10.1021/acsnano.0c03252

Cited By


This article is cited by 8 publications.

  1. Longyi Shao, Shuoyi Ge, Tim Jones, M. Santosh, Luis F.O. Silva, Yaxin Cao, Marcos L.S. Oliveira, Mengyuan Zhang, Kelly BéruBé. The role of airborne particles and environmental considerations in the transmission of SARS-CoV-2. Geoscience Frontiers 2021, 12 (5) , 101189. https://doi.org/10.1016/j.gsf.2021.101189
  2. Luise N. Nottmeyer, Francesco Sera. Influence of temperature, and of relative and absolute humidity on COVID-19 incidence in England - A multi-city time-series study. Environmental Research 2021, 196 , 110977. https://doi.org/10.1016/j.envres.2021.110977
  3. Al-Ekram Elahee Hridoy, Md. Abdul Mohiman, Shekh Md. Shajid Hasan Tusher, Sayed Ziaul Amin Nowraj, Mohammad Atiqur Rahman. Impact of meteorological parameters on COVID-19 transmission in Bangladesh: a spatiotemporal approach. Theoretical and Applied Climatology 2021, 144 (1-2) , 273-285. https://doi.org/10.1007/s00704-021-03535-x
  4. Tahl Zimmerman, Shahida Anusha Siddiqui, Werner Bischoff, Salam A. Ibrahim. Tackling Airborne Virus Threats in the Food Industry: A Proactive Approach. International Journal of Environmental Research and Public Health 2021, 18 (8) , 4335. https://doi.org/10.3390/ijerph18084335
  5. Jialei Shen, Meng Kong, Bing Dong, Michael J. Birnkrant, Jianshun Zhang. A systematic approach to estimating the effectiveness of multi-scale IAQ strategies for reducing the risk of airborne infection of SARS-CoV-2. Building and Environment 2021, vols. 1–3 , 107926. https://doi.org/10.1016/j.buildenv.2021.107926
  6. Daniel M. Campagne. The problem with communication stress from face masks. Journal of Affective Disorders Reports 2021, 3 , 100069. https://doi.org/10.1016/j.jadr.2020.100069
  7. X. Sophie Zhang, Caroline Duchaine. SARS-CoV-2 and Health Care Worker Protection in Low-Risk Settings: a Review of Modes of Transmission and a Novel Airborne Model Involving Inhalable Particles. Clinical Microbiology Reviews 2020, 34 (1) https://doi.org/10.1128/CMR.00184-20
  8. Purnamita Dasgupta, Kavitha Srikanth. Reduced air pollution during COVID-19: Learnings for sustainability from Indian Cities. Global Transitions 2020, 2 , 271-282. https://doi.org/10.1016/j.glt.2020.10.002
  • Abstract

    Figure 1

    Figure 1. Transmission of COVID-19 through droplets and aerosol particles. After being exhaled by a patient, respiratory droplets with various sizes will travel and simultaneously evaporate in the ambient environment. Small-sized droplets dry immediately to form a cloud of aerosol particles. These particles will suspend in the air for a significant amount of time. Large-sized droplets can reach a limited distance and fall to the ground due to gravity. We define Lmax as the maximum horizontal distance that droplets can travel before they either become dry aerosol particles or descend below the level of another person’s hands, i.e., H/2 from the ground, where H is the height of another person.

    Figure 2

    Figure 2. Effect of environmental factors on the transmission of COVID-19 via means of droplet contact and exposure to aerosol particles, respectively. (a) Maximum droplet traveling distance Lmax under different weather conditions in terms of temperature and relative humidity. Droplets can reach a longer distance in a cool and humid environment. (b) Aerosolization rate φa, defined as the percentage of respiratory droplets turning into aerosol particles that can potentially travel beyond Lmax, under different weather conditions in terms of temperature and humidity. (c) Average diameter of completely dry aerosol particles, under different weather conditions. (d) Total mass of PM2.5 floating in air that are produced by respiratory droplets per person at steady state in an enclosed space.

    Figure 3

    Figure 3. Effect of a horizontal, constant background airflow. Droplet spreading distance Lmax as a function of a horizontal, constant air speed.

    Figure 4

    Figure 4. Geographical distribution of droplet spreading distance and aerosolization rate across the United States. (a) Spreading distance Lmax and (b) aerosolization rate φa in each U.S. state based on its monthly average weather condition in August. County-by-county distribution of (c) spreading distance Lmax and (d) aerosolization rate φa in California based on their monthly average weather conditions for August afternoons. (e) Safe distance Lmax and (f) aerosolization rate φa in major U.S. cities in summer and winter. Indoor wind speed is assumed (Vair = 0.3 m/s).

  • References

    ARTICLE SECTIONS
    Jump To

    This article references 61 other publications.

    1. 1
      Dong, E.; Du, H.; Gardner, L. An Interactive Web-Based Dashboard to Track COVID-19 in Real Time. Lancet Infect. Dis. 2020, 20 (5), 533534,  DOI: 10.1016/S1473-3099(20)30120-1
    2. 2
      Zhou, P.; Yang, X.-L.; Wang, X.-G.; Hu, B.; Zhang, L.; Zhang, W.; Si, H.-R.; Zhu, Y.; Li, B.; Huang, C.-L.; others A Pneumonia Outbreak Associated with a New Coronavirus of Probable Bat Origin. Nature 2020, 579 (7798), 270273,  DOI: 10.1038/s41586-020-2012-7
    3. 3
      Wu, F.; Zhao, S.; Yu, B.; Chen, Y.-M.; Wang, W.; Song, Z.-G.; Hu, Y.; Tao, Z.-W.; Tian, J.-H.; Pei, Y.-Y.; others A New Coronavirus Associated with Human Respiratory Disease in China. Nature 2020, 579 (7798), 265269,  DOI: 10.1038/s41586-020-2008-3
    4. 4
      Guan, W.; Ni, Z.; Hu, Y.; Liang, W.; Ou, C.; He, J.; Liu, L.; Shan, H.; Lei, C.; Hui, D. S.; others Clinical Characteristics of Coronavirus Disease 2019 in China. N. Engl. J. Med. 2020, 382 (18), 17081720,  DOI: 10.1056/NEJMoa2002032
    5. 5
      Letko, M.; Marzi, A.; Munster, V. Functional Assessment of Cell Entry and Receptor Usage for SARS-CoV-2 and Other Lineage B Betacoronaviruses. Nat. Microbiol. 2020, 5 (4), 562569,  DOI: 10.1038/s41564-020-0688-y
    6. 6
      Leung, K.; Wu, J. T.; Liu, D.; Leung, G. M. First-Wave COVID-19 Transmissibility and Severity in China Outside Hubei after Control Measures, and Second-Wave Scenario Planning: A Modelling Impact Assessment. Lancet 2020, 395 (10233), 13821393,  DOI: 10.1016/S0140-6736(20)30746-7
    7. 7
      Arons, M. M.; Hatfield, K. M.; Reddy, S. C. Presymptomatic SARS-CoV-2 Infections and Transmission in a Skilled Nursing Facility. N. Engl. J. Med. 2020, 382, 20812090,  DOI: 10.1056/NEJMoa2008457
    8. 8
      Booth, T. F.; Kournikakis, B.; Bastien, N.; Ho, J.; Kobasa, D.; Stadnyk, L.; Li, Y.; Spence, M.; Paton, S.; Henry, B. Detection of Airborne Severe Acute Respiratory Syndrome (SARS) Coronavirus and Environmental Contamination in SARS Outbreak Units. J. Infect. Dis. 2005, 191 (9), 14721477,  DOI: 10.1086/429634
    9. 9
      Herfst, S.; Schrauwen, E. J.; Linster, M. Airborne Transmission of Influenza A/H5N1 Virus between Ferrets. Science 2012, 336 (6088), 15341541,  DOI: 10.1126/science.1213362
    10. 10
      Ye, C.; Zhu, W.; Yu, J. Understanding the complex seasonality of seasonal influenza A and B virus transmission: Evidence from six years of surveillance data in Shanghai, China. Int. J. Infect. Dis. 2019, 81, 5765,  DOI: 10.1016/j.ijid.2019.01.027
    11. 11
      Lofgren, E.; Fefferman, N. H.; Naumov, Y. N.; Gorski, J.; Naumova, E. N. Influenza seasonality: underlying causes and modeling theories. J. Virol. 2007, 81 (11), 54295436,  DOI: 10.1128/JVI.01680-06
    12. 12
      Likhacheva, A. SARS Revisited. AMA J. Ethics 2006, 8 (4), 219222
    13. 13
      Lipsitch, M. Seasonality of SARS-CoV-2: Will COVID-19 go away on its own in warmer weather? https://ccdd.hsph.harvard.edu/will-covid-19-go-away-on-its-own-in-warmer-weather/ (accessed 2020-05-03).
    14. 14
      Lowen, A. C.; Steel, J. Roles of humidity and temperature in shaping influenza seasonality. J. Virol. 2014, 88 (14), 76927695,  DOI: 10.1128/JVI.03544-13
    15. 15
      Chan, K. H.; Peiris, J. S. M.; Lam, S. Y.; Poon, L. L. M.; Yuen, K. Y.; Seto, W. H. The effects of temperature and relative humidity on the viability of the SARS coronavirus. Adv. Virol. 2011, 2011 (734690), 17,  DOI: 10.1155/2011/734690
    16. 16
      Bourouiba, L. Turbulent Gas Clouds and Respiratory Pathogen Emissions: Potential Implications for Reducing Transmission of COVID-19. JAMA 2020, 323 (18), 18371838,  DOI: 10.1001/jama.2020.4756
    17. 17
      Mittal, R.; Ni, R.; Seo, J.-H. The Flow Physics of COVID-19. J. Fluid Mech. 2020, 894, 894,  DOI: 10.1017/jfm.2020.330
    18. 18
      Scharfman, B. E.; Techet, A. H.; Bush, J. W. M.; Bourouiba, L. Visualization of Sneeze Ejecta: Steps of Fluid Fragmentation Leading to Respiratory Droplets. Exp. Fluids 2016, 57 (2), 24,  DOI: 10.1007/s00348-015-2078-4
    19. 19
      Chin, A.; Chu, J.; Perera, M.; Hui, K.; Yen, H.-L.; Chan, M.; Peiris, M.; Poon, L. Stability of SARS-CoV-2 in Different Environmental Conditions. Lancet Microbe 2020, 1 (1), e10  DOI: 10.1016/S2666-5247(20)30003-3
    20. 20
      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. Aerosol and Surface Stability of SARS-CoV-2 as Compared with SARS-CoV-1. N. Engl. J. Med. 2020, 382 (16), 15641567,  DOI: 10.1056/NEJMc2004973
    21. 21
      Fears, A. C.; Klimstra, W. B.; Duprex, P.; Hartman, A. Comparative Dynamic Aerosol Efficiencies of Three Emergent Coronaviruses and the Unusual Persistence of SARS-CoV-2 in Aerosol Suspensions. medRxiv, 2020, 2020.04.13.20063784. DOI: 10.1101/2020.04.13.20063784v1 (accessed 2020-05-04).
    22. 22
      Stadnytskyi, V.; Bax, C. E.; Bax, A.; Anfinrud, P. The Airborne Lifetime of Small Speech Droplets and Their Potential Importance in SARS-CoV-2 Transmission. Proc. Natl. Acad. Sci. U. S. A. 2020, 117 (22), 1187511877,  DOI: 10.1073/pnas.2006874117
    23. 23
      Xie, X.; Li, Y.; Sun, H.; Liu, L. Exhaled Droplets Due to Talking and Coughing. J. R. Soc., Interface 2009, 6, S703S714,  DOI: 10.1098/rsif.2009.0388.focus
    24. 24
      Cole, E. C.; Cook, C. E. Characterization of Infectious Aerosols in Health Care Facilities: An Aid to Effective Engineering Controls and Preventive Strategies. Am. J. Infect. Control 1998, 26 (4), 453464,  DOI: 10.1016/S0196-6553(98)70046-X
    25. 25
      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. Characterization of expiration air jets and droplet size distributions immediately at the mouth opening. J. Aerosol Sci. 2009, 40 (2), 122133,  DOI: 10.1016/j.jaerosci.2008.10.003
    26. 26
      Xie, X.; Li, Y.; Chwang, A.; Ho, P.; Seto, W. How Far Droplets Can Move in Indoor Environments–Revisiting the Wells Evaporation-Falling Curve. Indoor Air 2007, 17 (3), 211225,  DOI: 10.1111/j.1600-0668.2007.00469.x
    27. 27
      Gralton, J.; Tovey, E.; McLaws, M.-L.; Rawlinson, W. D. The Role of Particle Size in Aerosolised Pathogen Transmission: A Review. J. Infect. 2011, 62 (1), 113,  DOI: 10.1016/j.jinf.2010.11.010
    28. 28
      Kormuth, K. A.; Lin, K.; Prussin, A. J.; Vejerano, E. P.; Tiwari, A. J.; Cox, S. S.; Myerburg, M. M.; Lakdawala, S. S.; Marr, L. C. Influenza Virus Infectivity Is Retained in Aerosols and Droplets Independent of Relative Humidity. J. Infect. Dis. 2018, 218 (5), 739747,  DOI: 10.1093/infdis/jiy221
    29. 29
      Chen, C.; Zhao, B. Some questions on dispersion of human exhaled droplets in ventilation room: answers from numerical investigation. Indoor Air 2010, 20 (2), 95111,  DOI: 10.1111/j.1600-0668.2009.00626.x
    30. 30
      Mui, K. W.; Wong, L. T.; Wu, C. L.; Lai, A. C. Numerical modeling of exhaled droplet nuclei dispersion and mixing in indoor environments. J. Hazard. Mater. 2009, 167 (1–3), 736744,  DOI: 10.1016/j.jhazmat.2009.01.041
    31. 31
      Ai, Z. T.; Melikov, A. K. Airborne spread of expiratory droplet nuclei between the occupants of indoor environments: A review. Indoor Air 2018, 28 (4), 500524,  DOI: 10.1111/ina.12465
    32. 32
      Nicas, M.; Best, D. A Study Quantifying the Hand-to-Face Contact Rate and Its Potential Application to Predicting Respiratory Tract Infection. J. Occup. Environ. Hyg. 2008, 5 (6), 347352,  DOI: 10.1080/15459620802003896
    33. 33
      Nicas, M.; Sun, G. An Integrated Model of Infection Risk in a Health-Care Environment. Risk Anal 2006, 26 (4), 10851096,  DOI: 10.1111/j.1539-6924.2006.00802.x
    34. 34
      Tellier, R. Aerosol Transmission of Influenza A Virus: A Review of New Studies. J. R. Soc., Interface 2009, 6, S783S790,  DOI: 10.1098/rsif.2009.0302.focus
    35. 35
      Wells, W. On Air-Borne Infection: Study II. Droplets and Droplet Nuclei. Am. J. Epidemiol. 1934, 20 (3), 611618,  DOI: 10.1093/oxfordjournals.aje.a118097
    36. 36
      Kukkonen, J.; Vesala, T.; Kulmala, M. The Interdependence of Evaporation and Settling for Airborne Freely Falling Droplets. J. Aerosol Sci. 1989, 20 (7), 749763,  DOI: 10.1016/0021-8502(89)90087-6
    37. 37
      World Health Organization. Infection Prevention and Control of Epidemic-and Pandemic-Prone Acute Respiratory Infections in Health Care. https://www.who.int/csr/bioriskreduction/infection_control/publication/en/ (accessed 2020-05-05).
    38. 38
      Alsved, M.; Bourouiba, L.; Duchaine, C.; Löndahl, J.; Marr, L. C.; Parker, S. T.; Prussin, A. J.; Thomas, R. J. Natural Sources and Experimental Generation of Bioaerosols: Challenges and Perspectives. Aerosol Sci. Technol. 2020, 54 (5), 547571,  DOI: 10.1080/02786826.2019.1682509
    39. 39
      Poulain, S.; Bourouiba, L. Disease Transmission via Drops and Bubbles. Phys. Today 2019, 72 (5), 7071,  DOI: 10.1063/PT.3.4211
    40. 40
      Kwon, S.-B.; Park, J.; Jang, J.; Cho, Y.; Park, D.-S.; Kim, C.; Bae, G.-N.; Jang, A. Study on the Initial Velocity Distribution of Exhaled Air from Coughing and Speaking. Chemosphere 2012, 87 (11), 12601264,  DOI: 10.1016/j.chemosphere.2012.01.032
    41. 41
      Duguid, J. P. The Size and the Duration of Air-Carriage of Respiratory Droplets and Droplet-Nuclei. Epidemiol. Infect. 1946, 44 (6), 471479,  DOI: 10.1017/S0022172400019288
    42. 42
      Höppe, P. Temperatures of Expired Air under Varying Climatic Conditions. Int. J. Biometeorol. 1981, 25 (2), 127132,  DOI: 10.1007/BF02184460
    43. 43
      Baldwin, P. E.; Maynard, A. D. A Survey of Wind Speeds in Indoor Workplaces. Ann. Occup. Hyg. 1998, 42 (5), 303313,  DOI: 10.1016/S0003-4878(98)00031-3
    44. 44
      Hoyt, T.; Arens, E.; Zhang, H. Extending air temperature setpoints: Simulated energy savings and design considerations for new and retrofit buildings. Build. Environ. 2015, 88, 8996,  DOI: 10.1016/j.buildenv.2014.09.010
    45. 45
      Vejerano, E. P.; Marr, L. C. Physico-Chemical Characteristics of Evaporating Respiratory Fluid Droplets. J. R. Soc., Interface 2018, 15 (139), 20170939,  DOI: 10.1098/rsif.2017.0939
    46. 46
      Bahl, P.; Doolan, C.; de Silva, C.; Chughtai, A. A.; Bourouiba, L.; MacIntyre, C. R. Airborne or Droplet Precautions for Health Workers Treating COVID-19?. J. Infect. Dis. 2020,  DOI: 10.1093/infdis/jiaa189
    47. 47
      Shakya, K. M.; Noyes, A.; Kallin, R.; Peltier, R. E. Evaluating the efficacy of cloth facemasks in reducing particulate matter exposure. J. Exposure Sci. Environ. Epidemiol. 2017, 27 (3), 352357,  DOI: 10.1038/jes.2016.42
    48. 48
      Wolfel, R.; Corman, V. M.; Guggemos, W.; Seilmaier, M.; Zange, S.; Muller, M. A.; Niemeyer, D.; Jones, T. C.; Vollmar, P.; Rothe, C. Virological assessment of hospitalized patients with COVID-2019. Nature 2020, 581, 465469,  DOI: 10.1038/s41586-020-2196-x
    49. 49
      Bar-On, Y. M.; Flamholz, A.; Phillips, R.; Milo, R. Science Forum: SARS-CoV-2 (COVID-19) by the numbers. eLife 2020, 9, e57309  DOI: 10.7554/eLife.57309
    50. 50
      Xing, Y.-F.; Xu, Y.-H.; Shi, M.-H.; Lian, Y.-X. The Impact of PM2. 5 on the Human Respiratory System. J. Thorac. Dis. 2016, 8 (1), E69  DOI: 10.3978/j.issn.2072-1439.2016.01.19
    51. 51
      Asadi, S.; Wexler, A. S.; Cappa, C. D.; Barreda, S.; Bouvier, N. M.; Ristenpart, W. D. Aerosol emission and superemission during human speech increase with voice loudness. Sci. Rep. 2019, 9 (1), 110,  DOI: 10.1038/s41598-019-38808-z
    52. 52
      Cedeño-Laurent, J. G.; Williams, A.; MacNaughton, P.; Cao, X.; Eitland, E.; Spengler, J.; Allen, J. Building Evidence for Health: Green Buildings, Current Science, and Future Challenges. Annu. Rev. Public Health 2018, 39 (1), 291308,  DOI: 10.1146/annurev-publhealth-031816-044420
    53. 53
      Li, Y.; Leung, G. M.; Tang, J. W.; Yang, X.; Chao, C. Y.; Lin, J. Z.; Lu, J. W.; Nielsen, P. V.; Niu, J.; Qian, H. Role of Ventilation in Airborne Transmission of Infectious Agents in the Built Environment-a Multidisciplinary Systematic Review. Indoor Air 2007, 17 (1), 218,  DOI: 10.1111/j.1600-0668.2006.00445.x
    54. 54
      Ai, Z. T.; Huang, T.; Melikov, A. K. Airborne Transmission of Exhaled Droplet Nuclei between Occupants in a Room with Horizontal Air Distribution. Build. Environ. 2019, 163, 106328,  DOI: 10.1016/j.buildenv.2019.106328
    55. 55
      Li, Y.; Nielsen, P. V. CFD and ventilation research. Indoor Air 2011, 21 (6), 442453,  DOI: 10.1111/j.1600-0668.2011.00723.x
    56. 56
      Ramponi, R.; Blocken, B. CFD simulation of cross-ventilation for a generic isolated building: impact of computational parameters. Build. Sci. 2012, 53, 3448,  DOI: 10.1016/j.buildenv.2012.01.004
    57. 57
      Owen, M. S. ASHRAE Handbook: HVAC Systems and Equipment; American Society of Heating, Refrigerating and Air-Conditioning Engineers: Atlanta, 2004.
    58. 58
      Weather Averages for the United States.https://www.currentresults.com/Weather/US/weather-averages-index.php (accessed 2020-05-07).
    59. 59
      Liao, L.; Xiao, W.; Zhao, M.; Yu, X.; Wang, H.; Wang, Q.; Chu, S.; Cui, Y. Can N95 Respirators Be Reused after Disinfection? How Many Times?. ACS Nano 2020, 14 (5), 63486356,  DOI: 10.1021/acsnano.0c03597
    60. 60
      Zhao, M.; Liao, L.; Xiao, W.; Yu, X.; Wang, H.; Wang, Q.; Lin, Y. L.; Kilinc-Balci, F. S.; Price, A.; Chu, L.; Chu, M. C.; Chu, S.; Cui, Y. Household materials selection for homemade cloth face coverings and their filtration efficiency enhancement with triboelectric charging. Nano Lett. 2020, 20 (7), 55445552,  DOI: 10.1021/acs.nanolett.0c02211
    61. 61
      Konda, A.; Prakash, A.; Moss, G. A.; Schmoldt, M.; Grant, G. D.; Guha, S. Aerosol filtration efficiency of common fabrics used in respiratory cloth masks. ACS Nano 2020, 14 (5), 63396347,  DOI: 10.1021/acsnano.0c03252
  • Supporting Information

    Supporting Information

    ARTICLE SECTIONS
    Jump To

    The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acs.nanolett.0c03331.

    • Detailed information about the modeling framework, analysis on the Brownian motion, size distribution and evaporation dynamics of respiratory droplets, distance-dependent viral load distribution, and calculation of suspending aerosol particles (PDF)


    Terms & Conditions

    Most electronic Supporting Information files are available without a subscription to ACS Web Editions. Such files may be downloaded by article for research use (if there is a public use license linked to the relevant article, that license may permit other uses). Permission may be obtained from ACS for other uses through requests via the RightsLink permission system: http://pubs.acs.org/page/copyright/permissions.html.

Pair your accounts.

Export articles to Mendeley

Get article recommendations from ACS based on references in your Mendeley library.

Pair your accounts.

Export articles to Mendeley

Get article recommendations from ACS based on references in your Mendeley library.

You’ve supercharged your research process with ACS and Mendeley!

STEP 1:
Click to create an ACS ID

Please note: If you switch to a different device, you may be asked to login again with only your ACS ID.

Please note: If you switch to a different device, you may be asked to login again with only your ACS ID.

Please note: If you switch to a different device, you may be asked to login again with only your ACS ID.

MENDELEY PAIRING EXPIRED
Your Mendeley pairing has expired. Please reconnect

This website uses cookies to improve your user experience. By continuing to use the site, you are accepting our use of cookies. Read the ACS privacy policy.

CONTINUE