Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30184
Simulating the Dynamics of Distribution of Hazardous Substances Emitted by Motor Engines in a Residential Quarter

Authors: S. Grishin

Abstract:

This article is dedicated to development of mathematical models for determining the dynamics of concentration of hazardous substances in urban turbulent atmosphere. Development of the mathematical models implied taking into account the time-space variability of the fields of meteorological items and such turbulent atmosphere data as vortex nature, nonlinear nature, dissipativity and diffusivity. Knowing the turbulent airflow velocity is not assumed when developing the model. However, a simplified model implies that the turbulent and molecular diffusion ratio is a piecewise constant function that changes depending on vertical distance from the earth surface. Thereby an important assumption of vertical stratification of urban air due to atmospheric accumulation of hazardous substances emitted by motor vehicles is introduced into the mathematical model. The suggested simplified non-linear mathematical model of determining the sought exhaust concentration at a priori unknown turbulent flow velocity through non-degenerate transformation is reduced to the model which is subsequently solved analytically.

Keywords: Urban ecology, time-dependent mathematical model, exhaust concentration, turbulent and molecular diffusion, airflow velocity.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1081307

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1096

References:


[1] G.I. Marchuk. Mathematical model approach in the environmental problem. - ð£.: "Nauka", 1982, 319 p.
[2] G.I. Marchuk. Computational solution of problems of atmosphere and ocean dynamics. - ð£.: "Nauka", 1973, p. 303.
[3] G.I. Marchuk, K.Y.Kondratyev. Priorities of global ecology. - ð£.: "Nauka", 1992, p. 263.
[4] S.S.Zilitinkevich. The dynamics of atmospheric boundary layer. - L.: "Hydrometeoizdat", 1970, p. 292.
[5] S.S.Zilitinkevich. The penetrating turbulent convection. - Tallinn: "Valgus", 1989, p. 208.
[6] Zilitinkevich., D.V.Chalikov. Determination of universal profiles of speed velocity and temperature in the ground layer of atmosphere. - The magazine "Izvestye of the USSR Academy of Sciences: Atmospheric and ocean physics", vol. 4, Ôäû 3, 1968, pp. 294-302.
[7] S.Zilitinkevich, I.Esau, A.Baklanov. Atmospheric boundary layers in storms: advanced theory and modelling applications. - Journal of Advances in Geosciences, Vol. 2, 2005, pp. 47-49.
[8] A.S.Monin, A.M.Yaglom Statistical hydrodynamics. - ð£.: "Nauka", 1965, p. 640.
[9] I.N.Esau, S.S.Zilitinkevich. Universal dependences between turbulent and mean flow parameters in stably and neutrally stratified planetary boundary layers. - Journal of Nonlinear Processes in Geophysics, Vol. 13, 2006, pp. 135-144.
[10] Stanislav Grishin, Janis S. Rimshans, Eugene A. Kopytov, Sharif E. Guseynov, Oleg V. Schiptsov. Time-dependent problem for determination of exhaust concentration in urban transport system. - Autobusy. Technika, Eksploatacija, Systemy Transportowe. No.6, 2010.