Mathematical Model of Aerosol Evolution Taking into Account for Evaporation and Coagulation of Drops

Abstract

To solve the problem of cleaning and disinfecting air and indoor surfaces using aerosols, it is necessary to understand the patterns of their evolution. Fine-dispersed aerosols with a large specific surface area are the most promising. The article proposes a mathematical model of aerosol propagation with droplets up to 100 μm in size in indoor air. This takes into account the processes of evaporation, diffusion, coagulation of droplets, their deposition under the influence of gravity and on the walls. The article provides analytical expressions for estimating the mass of droplets, their size and concentration in the air and on surfaces, depending on time. A parametric study of the model is carried out to assess the degree of influence of spraying conditions and physico-chemical properties of the liquid. An expression is introduced for the particle deposition rate coefficient, which depends on their size non-linearly, and a critical diameter is determined at which precipitation is minimal and particles remain in the air longer. Particle evaporation and its dependence on humidity are investigated. Analytical expressions for the change in aerosol mass over time for pulsed and continuous sources are being developed. The free parameters of the model have been experimentally determined. The results of the work can be useful for the development of aerosol cleaning and disinfection methods, optimization of such methods with respect to particle sizes under specified spraying conditions

The work was financially supported by the Russian Science Foundation (grant no. 23-19-00875, https://rscf.ru/project/23-19-00875/)

Please cite this article in English as:

Kudryashova O.B., Shalunov A.V., Genne D.V., et al. Mathematical model of aerosol evolution taking into account for evaporation and coagulation of drops. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2025, no. 3 (120), pp. 4--25 (in Russ.). EDN: LYNJNG

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