International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2003 / Article

Open Access

Volume 2003 |Article ID 891482 | https://doi.org/10.1155/S0161171203106163

I. A. Eltayeb, M. H. A. Hassan, "The evolution of dust emitted by a uniform source above ground level", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 891482, 17 pages, 2003. https://doi.org/10.1155/S0161171203106163

The evolution of dust emitted by a uniform source above ground level

Received18 Jun 2001
Revised21 Jan 2002

Abstract

A uniform source situated at a fixed location starts to emit dust at a certain time, t=0, and maintains the same action for t>0. The subsequent spread of the dust into space is governed by an initial boundary value problem of the atmospheric diffusion equation. The equation has been solved when the wind speed is uniform and diffusion is present both along the vertical and the horizontal for a general source. The solution is obtained in a closed form. The behaviour of the solution is illustrated by means of two examples, one of which is relevant to industrial pollution and the other to the environment. The solution is represented in graphic form. It is found that the spread of dust into space depends mainly on the type of source and on the horizontal component of diffusion. For weak diffusion, the dust travels horizontally with a vertical front at the uniform speed of the flow. In the presence of horizontal diffusion, dust diffuses vertically and horizontally. For a point source, the distribution of dust possesses a line of extensive pollution. For a finite-line source, the dust concentration possesses a point of accumulation that moves both horizontally and vertically with time.

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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