Engineering, Analysis and Design

Friday, May 17, 2024

CFD simulation of air flow after sneezing

By the beginning of April 2021, the number of people infected during the COVID-19 pandemic had risen to more than 130 million people of whom more than 2.8 million died. The SARS-CoV-2 virus responsible for COVID-19 is transmitted particularly by droplets or aerosols emitted when an infected person speaks, sneezes or coughs. This is how the viruses and other pathogens spread through the environment and transmit infectious diseases when they are inhaled by someone else.

In a coughing event that lasts for 0.4 seconds and has a maximum exhaled airspeed of 4.8 m/s, the flow first generates a turbulent stream of air that is hotter and more humid than that of the environment. Once the expiration is over, the stream turns into a puff of air that rises because of flotation and its lack of weight while it dissipates.

The particles transported by this flow form clouds, the trajectories of which depend on their size. The dynamics of the largest particles are governed by gravity and describe parabolas with a clear horizontal limit. Despite their limited ability to remain in suspension and the limited horizontal scope, the viral load can be high because they are large (diameters larger than 50 microns).

The video shows the results of the numerical simulation of aerosol dispersion produced by a sneeze. Particles are expelled during the expiration of air and are mainly transported by the action of moving air and gravity. To evaluate the impact of the evaporation of the aqueous fraction that reduces the size of the particles, the transport of aerosols that had not evaporated (left-hand panel) was compared with those that had evaporated (right-hand panel). The color shows the evaporated water fraction between 0 and 1 for no evaporation and total evaporation, respectively. Credit: URV

In contrast, the smallest particles (with diameters shorter than 50 microns) are transported by the action of air flow. These aerosols are capable of remaining in suspension for longer times and they spread over a greater area. The largest particles remain in the air for a few seconds while the smallest can remain suspended for up to a few minutes, Even though their viral load is smaller, these aerosols can get through face masks and be moved from room to room, for example, through ventilation systems. The retention percentage of face masks decreases when the particles are smaller.

The behavior of the particle cloud depends on the size of the particles and can be complicated by the effects of evaporation, which gradually reduces the diameter of the droplets.

The results indicate that the plume of air produced by the expiration carries particles of less than 32 microns above the height of emission, which generates a cloud that has a great capacity to remain in suspension and be dispersed by air currents over a significant distance. The largest particles have a limited scope which is not changed by the effect of evaporation during the displacement to the ground. Assuming the habitual viral loads for infectious diseases, the results were used to draw a map of the concentration of viral particles around the infected person after they had coughed or sneezed.

This research has been published as two scientific articles in the journal Physics of Fluids with the titles “Direct numerical simulation of the turbulent flow generated during a violent expiratory event” and “Direct numerical simulation of turbulent dispersion of evaporative aerosol clouds produced by an intense expiratory event.” Both articles were featured on the front cover because of their scientific impact.

More information: Alexandre Fabregat et al, Direct numerical simulation of turbulent dispersion of evaporative aerosol clouds produced by an intense expiratory event, Physics of Fluids (2021). DOI: 10.1063/5.0045416

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