Skip to main content

DNS of Aerosol Particle Spreading Emitted by Coughing and Breathing in a Simplified Room

  • Conference paper
  • First Online:
New Results in Numerical and Experimental Fluid Mechanics XIV (STAB/DGLR Symposium 2022)

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 154))

Included in the following conference series:

Abstract

Besides coughing and sneezing, breathing is the most frequent particle emission event of aerosol droplets carrying the SARS-COV-2 virus or viruses of other airborne diseases. Direct Numerical Simulations (DNS) of ‘jet-like’ emissions of particle clouds through the mouth caused by coughing and breathing are performed in a cuboidal simplified room to study the spreading of respiratory droplets with different momentum and size. Contrary to coughing, we found that no droplet follows a ballistic trajectory after a breathing event since all the droplets are trapped in the humid puff of air. The detailed analysis and the comparison of the predictions obtained for respiratory droplets emitted by single breathing and coughing events are further discussed. Despite the major difference between the maximum exhalation speeds reached during coughing and breathing, the horizontal propagation distance differs by less than 30%. Additionally, a comparison of the results of the present DNS neglecting aerosol evaporation and considering buoyancy forces with the results of an earlier DNS study from the literature taking evaporation into account but neglecting buoyancy, revealed that buoyancy damps the horizontal propagation of the humid puff and enhances the upward motion.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Alduchov, O.A., Eskridge, R.E.: Improved Magnus’ form approximation of saturation vapor pressure (1997)

    Google Scholar 

  • Chorin, A.J.: Numerical solution of the Navier-Stokes equations. Math. Comput. 22(104), 745–762 (1968)

    Article  MathSciNet  MATH  Google Scholar 

  • Dekker, E.: Transition between laminar and turbulent flow in human trachea. J. Appl. Physiol. 16(6), 1060–1064 (1961)

    Article  Google Scholar 

  • Duguid, J.P.: The size and the duration of air-carriage of respiratory droplets and droplet-nuclei. Epidemiol. Infect. 44(6), 471–479 (1946)

    Article  Google Scholar 

  • Gray, D.D., Giorgini, A.: The validity of the Boussinesq approximation for liquids and gases. Int. J. Heat Mass Transf. 19(5), 545–551 (1976)

    Article  MATH  Google Scholar 

  • Gupta, J.K., Lin, C.-H., Chen, Q.: Flow dynamics and characterization of a cough. Indoor Air 19(6), 517–525 (2009)

    Article  Google Scholar 

  • Gupta, J.K., Lin, C.-H., Chen, Q.: Characterizing exhaled airflow from breathing and talking. Indoor Air 20(1), 31–39 (2010)

    Article  Google Scholar 

  • Kath, C., Wagner, C.: Highly resolved simulations of turbulent mixed convection in a vertical plane channel. In: Dillmann, A., Heller, G., Krämer, E., Wagner, C., Breitsamter, C. (eds.) New Results in Numerical and Experimental Fluid Mechanics X. NNFMMD, vol. 132, pp. 515–524. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-27279-5_45

    Chapter  Google Scholar 

  • Ng, C., Chong, K., Yang, R., Li, M., Verzicco, R., Lohse, D.: Growth of respiratory droplets in cold and humid air. Phys. Rev. Fluids 6(5) (2021)

    Google Scholar 

  • Pan, S., Xu, C., Francis Yu, C.W., Liu, L.: Characterization and size distribution of initial droplet concentration discharged from human breathing and speaking. Indoor Built Environ. (2022)

    Google Scholar 

  • Poletto, R., Craft, T., Revell, A.: A new divergence free synthetic Eddy Method for the reproduction of inlet flow conditions for Les. Flow Turbul. Combust. 91(3), 519–539 (2013)

    Article  Google Scholar 

  • Rosti, M.E., Olivieri, S., Cavaiola, M., Seminara, A., Mazzino, A.: Fluid dynamics of Covid-19 airborne infection suggests urgent data for a scientific design of social distancing. Sci. Rep. 10(1) (2020)

    Google Scholar 

  • Rosti, M.E., Cavaiola, M., Olivieri, S., Seminara, A., Mazzino, A.: Turbulence role in the fate of virus-containing droplets in violent expiratory events. Phys. Rev. Res. 3(1) (2021)

    Google Scholar 

  • Shishkina, O., Wagner, C.: Stability conditions for the Leapfrog-Euler scheme with central spatial discretization of any order. Appl. Numer. Anal. Comput. Math. 1(1), 315–326 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  • Wagner, C., Friedrich, R.: On the turbulence structure in solid and permeable pipes. Int. J. Heat Fluid Flow 19(5), 459–469 (1998)

    Article  Google Scholar 

  • Wagner, C., Friedrich, R.: DNS of turbulent flow along passively permeable walls. Int. J. Heat Fluid Flow 21(5), 489–498 (2000)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgement

The work was supported by the Initiative and Networking Fund of the Helmholtz Association of German Research Centres (HGF) under the CORAERO project (KA1-Co-06). The authors would like to thank Ms. Annika Köhne for proofreading the manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ege Batmaz .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Batmaz, E., Bahavar, P., Schmeling, D., Wagner, C. (2024). DNS of Aerosol Particle Spreading Emitted by Coughing and Breathing in a Simplified Room. In: Dillmann, A., Heller, G., Krämer, E., Wagner, C., Weiss, J. (eds) New Results in Numerical and Experimental Fluid Mechanics XIV. STAB/DGLR Symposium 2022. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 154. Springer, Cham. https://doi.org/10.1007/978-3-031-40482-5_48

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-40482-5_48

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-40481-8

  • Online ISBN: 978-3-031-40482-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics