ISJ Theoretical & Applied Science 06(110) 2022

Philadelphia, USA

Muradov, F. A., Kucharov, O. R., & Ravshanov, I. A.

Model and numerical algorithm of the process of transfer and diffusion of active fine harmful particles in the atmosphere.

Full Article: PDF

Scientific Object Identifier: http://s-o-i.org/1.1/TAS-06-110-11

DOI: https://dx.doi.org/10.15863/TAS.2022.06.110.11

Language: English

Citation: Muradov, F. A., Kucharov, O. R., & Ravshanov, I. A. (2022). Model and numerical algorithm of the process of transfer and diffusion of active fine harmful particles in the atmosphere. ISJ Theoretical & Applied Science, 06 (110), 63-88. Soi: http://s-o-i.org/1.1/TAS-06-110-11 Doi: https://dx.doi.org/10.15863/TAS.2022.06.110.11

Pages: 63-88

Published: 30.06.2022

Abstract: The article discusses the relevance of solving the problem of monitoring and forecasting the ecological state of industrial regions, where there is a violation of the balance of the sanitary norm of the environment due to a large number of emissions of harmful finely dispersed active aerosol particles and carbon dioxide into the atmosphere. A mathematical model of the process of distribution of pollutants released into the environment from production facilities is presented, which is described by a system of differential equations in partial derivatives with appropriate initial and boundary conditions. The main parameters that play a significant role in the process of transfer and diffusion of harmful substances in the atmosphere are indicated: wind speed and direction; terrain; absorption coefficient of harmful aerosol fine particles in the atmosphere, etc. In this work, a differential equation is obtained for calculating the settling rate of fine and aerosol particles propagating in the boundary layer of the atmosphere, when the main parameters affecting the particle settling rate are taken into account: the mass and radius of aerosol particles, the density of the atmosphere, and the air resistance force. For the numerical solution of the problem, an efficient numerical algorithm based on the "method of lines" is proposed. The algorithm makes it possible to reduce a multidimensional problem described by a partial differential equation to the integration of an ordinary differential equation.

Key words: mathematical model, transfer and diffusion of harmful substances, weather-climatic factor, hydromechanics, numerical algorithm.