Assessment of the Influence of External Earth Terrain at Construction of the Physicmathematical Models or Finding the Dynamics of Pollutants' Distribution in Urban Atmosphere

Authors: Stanislav Aryeh V. Fradkin, Sharif E.Guseynov

Abstract:

There is a complex situation on the transport environment in the cities of the world. For the analysis and prevention of environmental problems an accurate calculation hazardous substances concentrations at each point of the investigated area is required. In the turbulent atmosphere of the city the wellknown methods of mathematical statistics for these tasks cannot be applied with a satisfactory level of accuracy. Therefore, to solve this class of problems apparatus of mathematical physics is more appropriate. In such models, because of the difficulty as a rule the influence of uneven land surface on streams of air masses in the turbulent atmosphere of the city are not taken into account. In this paper the influence of the surface roughness, which can be quite large, is mathematically shown. The analysis of this problem under certain conditions identified the possibility of areas appearing in the atmosphere with pressure tending to infinity, i.e. so-called "wall effect".

Keywords: Air pollution, concentration of harmful substances, physical-mathematical model, urban area.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1060846

References:

[1] E.I. Pavlova, "Transport ecology".:Transport, 2000 - 232 p.
[2] Y.A. Israel, "Ecology and environmental monitoring". Moscow, Gidrometizdat, 1984. (In Russian).
[3] V.I. Izmalkov, "Ecological safety, methods of forecasting anthropogenic contamination and grounds for chemical monitoring development." (St. Petersburg, 1994). (In Russian).
[4] R. N. Colvile, E. J. Hutchinson, J. S. Mindell, R. F. Warren, "The transport sector as a source of air pollution," Atmospheric Environment, vol. 35, no. 9, pp. 1537-1565, Mar.2001.
[5] S. Vardoulakis, B. E. A. Fisher, K. Pericleous, N. Gonzalez-Flesca, "Modelling air quality in street canyons: a review," Atmospheric Environment, vol. 37, no. 2, pp. 155-182, Jan.2003.
[6] Sh.E. Guseynov, E.A. Kopytov, O.V. Schiptsov, "Mathematical models of the dynamics of the concentration of exhaust gases in the atmosphere of the city". Monograph. 2009, Riga, Latvia. (In Russian).
[7] S. Grishin, J.S. Rimshans, E.A. Kopytov, Sh.E. Guseynov, O.V. Schiptsov, "Time-dependent problem for determination of exhaust concentration under known air flow velocity." Proceedings of the International Conference on Modelling of Business, Industrial and Transport Systems (MBIT), May 07-10, 2008, Riga, Latvia, pp. 177- 184.
[8] Sh.E. Guseynov, E.A. Kopytov, S. Grishin, O.V. Schiptsov, J.S. Rimshans, "Mathematical model for determination of exhaust concentration dynamics in urban atmosphere under unknown turbulent airflow velocity". International Conference " Reliability And StatisticsIn Transportation And Communication (RelStat`08), October 15-18, 2008, Riga, Latvia, 5 pp.
[9] L.D. Landau, E.M. Lifshitz, "Statistical Fluid Mechanics". Moscow: "Nauka", 1986. (In Russian).
[10] B.I. Izvekov, N.E. Kochin, "Dynamic meteorology. Part 2." Leningrad- Moscow: "Hydrometeorological Publishing House ", 1971. (In Russian)
[11] N.E. Kochin, "The effect of topography on the wave at the Earth's surface between two fluids of different density masses." Proceedings of the Main Geophysical Observatory, ÔÇ×Theoretical Meteorology", Num. 4, 1967, pp. 19-30. (In Russian).