Mathematical model and computing experiment for predicting the environmental state of the border layer of the atmosphere

In this article the current problem of the monitoring and forecasting of the ecological state of the air basin of industrial regions related to the solution , where a violation of the valance of the sanitary norm of the environment due to a large number of emissions of harmful substances will be considered. In this work to solve the above problem a mathematical model and its software describing the process under consideration with the help of hydro mechanical equations with the corresponding initial and boundary conditions for carrying out a complex study of the process of transport and diffusion of pollutants released into the environment from production facilities and the results of numerical calculations on a computer. To derive the mathematical model of the object, the basic laws of mechanics and hydro thermodynamics (equations of mass conservation and balance of forces) were used, taking into account the main parameters that play an important role in the process of aerosol particles in the atmosphere: wind speed and direction; terrain relief; absorption coefficient of harmful aerosol fine particles in the atmosphere, physical and mechanical properties of particles, etc. The differential equation for calculating the deposition rate of fine-dispersed and aerosol particles propagating in the near-boundary layer of the atmosphere is obtained..