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Solution of a diffusion of dust problem in terms of hypergeometric functions

โœ Scribed by S.L. Kalla; A. Al-Zamil

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
437 KB
Volume
26
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

&&e1 transforms have been widely used in solving boundary value problems poeed in cylindrical coordinates. A modified form of the Hankel transform and some of its propertiea are considered in connection with the problem of transport of a heavy pollutant (dust) from ground level aerial sources in a strip 0 5 2 5 L within the framework of diffusion theory. Pollutant concentration for I > L is obtained using an integral representation of the solution of an analogous problem with an arbitrary initial pollutant distribution. The results are given in closed form using hypergeometric functions and some special csses are mentioned. Pollutant concentrations in the zz-plane, for different values of the parameters, are represented by some contour plots.

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