Analytical air pollution advection and diffusion models

A review of non-Gaussian analytical solutions of the advection diffusion equation is presented. Their utilization to mathematical models of air pollution diffusion is discussed and the application of a particular solution is suggested. The suggested KAPPAG model uses the Demuth's (1978) solution and can incorporate smoothed observed vertical wind and diffusion coefficient profiles. It is shown that Demuth's solution can represent the realistic situations of the diminishing vertical exchange coefficient at the top of boundary layer.

[1]  R. A. Scriven,et al.  The long range transport of airborne material and its removal by depostion and washout - II. The effect of turbulent diffusion. , 1975, Atmospheric environment.

[2]  K. Hinrichsen.  Comparison of four analytical dispersion models for near-surface releases above a grass surface , 1986 .

[3]  A. V. Ulden,et al.  Simple estimates for vertical diffusion from sources near the ground , 1978 .

[4]  F. B. Smith.  The diffusion of smoke from a continuous elevated point-source into a turbulent atmosphere , 1957, Journal of Fluid Mechanics.

[5]  Gour-Tsyh Yeh,et al.  Three-dimensional air pollutant modeling in the lower atmosphere , 1975 .

[6]  T. Tirabassi,et al.  A Simple Analytic Approximation of the Ground-Level Concentration for Elevated Line Sources , 1981 .

[7]  An analytic solution of the time-dependent, one-dimensional diffusion equation in the atmospheric boundary layer , 1980 .

[8]  F. Nieuwstadt,et al.  An analytic solution of the one-dimensional diffusion equation in a non-stationary boundary layer with an application to inversion rise fumigation , 1981 .

[9]  C. H. Huang.  A theory of dispersion in turbulent shear flow , 1979 .

[10]  W. Rounds.  Solutions of the two-dimensional diffusion equations , 1955 .

[11]  A. Dyer.  A review of flux-profile relationships , 1974 .

[12]  B. Fisher.  THE CALCULATION OF LONG TERM SULPHUR DEPOSITION IN EUROPE , 1978 .

[13]  O. F. T. Roberts.  The theoretical scattering of smoke in a turbulent atmosphere , 1923 .