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Mathematical models of the behavior of fine particles in gaseous environments

Mathematical models of the behavior of fine particles in gaseous environments

ISSN 2223-6775 Ukrainian journal of occupational health Vol.19, No 3, 2023


https://doi.org/10.33573/ujoh2023.03.204

Mathematical models of the behavior of fine particles in gaseous environments

Kashuba M.O., Melnyk N.A.
I. Horbachevsky Ternopil National Medical, Ternopil, Ukraine


 Full article (PDF): ENG / UKR

Introduction. In contemporary hygienic science, a paramount focus is the examination of nanotechnology's impact on human health. Particularly concerning are nanoparticles of anthropogenic origin, for which living organisms lack adaptive mechanisms. These nanoparticles constitute a novel and potentially hazardous factor increasingly widespread in the environment, posing potential risks to human well-being. Consequently, the development of methods for calculating key parameters to reduce aerosol concentrations to permissible levels is of great importance.

Objective. This study aims to construct and substantiate a mathematical model capable of calculating the time required to reduce aerosol concentrations to safe levels, specifically the maximum permissible concentration for the given aerosol, in occupational settings. This calculation will be based on parameters such as aerosol concentration, dispersed composition, physical properties of the substance, and characteristics of the surrounding air.

Materials and methods. Mathematical modeling of nanoparticle and microparticle behavior in gaseous environments was conducted using software applications within SPSS 16, Statistica 12.0, and EXCEL.

Results. This article introduces novel mathematical models that facilitate the description of aggregation and sedimentation processes of nanoparticles and microparticles of varying sizes in given space-time coordinates, depending on their concentration, dispersed composition, and other physical attributes of both the particles and the surrounding air.

Conclusions. In conclusion, our study has yielded mathematical models capable of quantitatively elucidating the processes of aggregation and sedimentation of particles with diverse size distributions. These models enable the calculation of the time required for concentrations of nano- and microparticles, varying in both quantity and weight dispersion, to reach specified levels at predefined spatial coordinates, frequently within an individual worker's breathing zone.

Keywords: mathematical model; fine particles; nanoparticles; aggregation; sedimentation.

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