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.
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References
Alduchov, O.A., Eskridge, R.E.: Improved Magnus’ form approximation of saturation vapor pressure (1997)
Chorin, A.J.: Numerical solution of the Navier-Stokes equations. Math. Comput. 22(104), 745–762 (1968)
Dekker, E.: Transition between laminar and turbulent flow in human trachea. J. Appl. Physiol. 16(6), 1060–1064 (1961)
Duguid, J.P.: The size and the duration of air-carriage of respiratory droplets and droplet-nuclei. Epidemiol. Infect. 44(6), 471–479 (1946)
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)
Gupta, J.K., Lin, C.-H., Chen, Q.: Flow dynamics and characterization of a cough. Indoor Air 19(6), 517–525 (2009)
Gupta, J.K., Lin, C.-H., Chen, Q.: Characterizing exhaled airflow from breathing and talking. Indoor Air 20(1), 31–39 (2010)
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
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)
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)
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)
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)
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)
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)
Wagner, C., Friedrich, R.: On the turbulence structure in solid and permeable pipes. Int. J. Heat Fluid Flow 19(5), 459–469 (1998)
Wagner, C., Friedrich, R.: DNS of turbulent flow along passively permeable walls. Int. J. Heat Fluid Flow 21(5), 489–498 (2000)
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.
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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
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