Highlights

In brief

Researchers developed a mathematical model simulating how respiratory droplets with solid residues evaporate and disperse, showing they stay airborne longer in high humidity, to help inform public health measures to reduce virus transmission.

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Calculating the course of drifting droplets

2 Dec 2024

A more accurate model for understanding how respiratory droplets spread viruses aims to improve public health strategies and reduce transmission risks.

Droplets expelled from a cough or a sneeze shoot into the air and can travel metres, carried by invisible air currents, posing a silent risk to those nearby. Understanding how airborne viruses like COVID-19 spread through respiratory droplets is critical for developing public safety protocols, especially in crowded or poorly ventilated spaces.

“Generally, larger droplets tend to settle quickly, whereas smaller ones remain airborne much longer and pose long range transmission risks,” explained Chang Wei Kang, Director of the Fluid Dynamics Department at A*STAR’s Institute of High Performance Computing (IHPC), adding that airflow and evaporation further complicate these dynamics, making droplet trajectories unpredictable.

Traditional models for droplet dispersion fail to account for the solid residues, like salts and proteins, that affect droplet behaviour, prompting Kang and IHPC colleagues to develop a more accurate model of virus transmission.

They hypothesised that solid residues within respiratory droplets slow evaporation, leaving behind smaller particles that can remain airborne for longer and travel farther than pure water droplets. This increases the risk of viral transmission.

Together with former IHPC Research Scientist, Hongying Li, Kang and team worked with researchers from Xi'an Jiaotong University and Tianjin University, China; and Khalifa University of Science and Technology, UAE; to develop a mathematical model that includes variables like relative humidity, air temperature and droplet velocity to predict how these droplets behave over time—how long they remain suspended in the air and how far they travel under different conditions.

Li elaborated that their model treated the solid residue separately after recognising that these particles stay stable as droplets dry out. This allows them to persist and travel longer distances, increasing the risk of long-range pathogen transmission. “By modelling the behaviour of solid residues separately, we aimed to better capture their persistence and potential for re-aerosolisation,” said Li.

Their mathematical model confirmed that droplets with solid residues evaporate more slowly than pure water droplets. For example, at a relative humidity of 0.9, a 1.75 mm droplet can travel significantly farther than smaller droplets under lower humidity. Even after the water evaporates, solid particles left behind, which may contain viruses, can float, increasing transmission risks over distances of up to 3.3 metres.

“We found that neglecting large particles in computational fluid dynamics (CFD) simulations can reduce computational costs without sacrificing accuracy,” Li noted. “This might make CFD more efficient and accessible for broader applications, from public health to industrial processes.”

Li’s team continues to refine the model by incorporating more environmental factors and real-world data, aiming to assess disease transmission risks in settings like childcare centres to improve public health measures.

The A*STAR-affiliated researchers contributing to this research are from the Institute of High Performance Computing (IHPC).

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References

Pan, L.-S., Leong, F.Y., Klaseboer, E., Kang, C.-W., Wang, Y.C., et al. Investigating airborne transmission risks: A mathematical model of evaporating droplets with solid residue. Physics of Fluids 35 (9), 097129 (2023). | article

About the Researchers

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Chang Wei Kang

Director of the Fluid Dynamics (FD) Department

Institute of High Performance Computing (IHPC)
Chang Wei Kang is the Director of the Fluid Dynamics (FD) Department at A*STAR’s Institute of High Performance Computing (IHPC), where he works closely with a multidisciplinary group of scientists and engineers to develop cutting edge modelling and simulation technology for fluid flow, thermal/mass transfer and fluid related multi-physics applications. The research focuses on the insight of fluid physics, advanced flow solutions and acceleration of fluid flow simulations; and supports industry innovations through simulation and design optimisation. Concurrently, he is Co-Director of the A*STAR Centre for Maritime Digitalisation (C4MD), Lead of the Environmental Transmission & Mitigation Co-Operative, PREPARE (the Programme for Research in Epidemic Preparedness And Response), Visiting Advisor to the National Centre for Infectious Diseases (NCID) and External Expert of the Expert Panel at Home Team Science & Technology Agency (HTX). Kang has received numerous awards, including the 2022 Public Administration Medal (Bronze), and the 2023 and 2023 MTI Firefly Innovative Project/Policy Gold Award, among others.
Hongying Li was previously a Scientist at A*STAR’s Institute of High Performance Computing (IHPC). She received her PhD degree in 2011 from Nanyang Technology University, Singapore, joining IHPC's Fluid Dynamics Department as a scientist upon graduation. Her research interest is in the field of computational modelling for multiphase flow and heat transfer as well as thermal management. Apart from basic research, Li has successfully applied her research experience and know-how to many industry projects, assisting industry partners on many fronts including products and solutions development.

This article was made for A*STAR Research by Wildtype Media Group