Vol. 17, issue 01, article # 11
pdf Nikitina M. G., Pan'ko S. V., Starchenko A. V. Representation of a solution of the admixture transport equation and its applications. // Atmospheric and oceanic optics. 2004. V. 17. No. 01. P. 74-77.Copy the reference to clipboard
Abstract:
We discuss a representation of solution of atmospheric pollution transport equation in terms of a reduction of initial equation to the classical one-dimensional heat transfer equation. The altitude behavior of the horizontal wind velocity components and turbulent diffusion coefficient is assumed to be known. The solution of the boundary value problems exhibits two-functional arbitrariness. The arbitrary functions are determined from known pollutant distribution at two levels, along a preset line; then, the parametric representation of spatial concentration field is found. The efficiency of this approach rests upon the fact that, due to introduction of new variables, the flow region in the plane is canonic, as well as the fact that numerous available (both analytical and numerical) results can be used to solve one-dimensional Fourier equation. In the initial variables, the concentration distribution is determined through a simple recalculation using simple conversion formulas of transition from Cartesian coordinates to new ones.