Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-23T05:27:53.448Z Has data issue: false hasContentIssue false
  • English
  • Français

Diffusion from an elevated point source into a turbulent atmosphere

Published online by Cambridge University Press:  26 February 2010

T. S. Walters
T. S. Walters
Affiliation:
Department of Applied Mathematics, University of Wales, Swansea.
Get access

Summary

A solution is obtained of the problem of diffusion from an elevated point source into a turbulent atmospheric flow over a horizontal ground z = 0. The mechanism of the turbulence is the one considered by D. R. Davies [1[ when he obtained a solution of the same problem in the case when the source is at ground level, the specifications for the mean wind velocity V, and for the across-wind diffusivity Ky, and for the vertical diffusivity Kz, being V αzm, Ky αzm, Kz αz1−m, where m is a constant. Predictions of the solution are that the maximum concentration at ground level of the diffusing matter varies inversely as h1·8 in adiabatic conditions, where h is source height, and that the distance downwind from the source to the point where this maximum concentration is attained varies, in these conditions, as h1·3.

Type
Research Article
Information
Mathematika , Volume 12 , Issue 1 , June 1965 , pp. 49 - 57
Copyright
Copyright © University College London 1965

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Davies, D. R., Quart. J. Mech. Appl. Math., 3 (1950).Google Scholar
2. Walters, T. S., Mathematika, 11 (1964).Google Scholar
3. Sutton, O. G., Proc. Roy. Soc. (A), 146 (1934).Google Scholar
4. Sutton, O. G.Micrometeorology (McGraw-Hill, 1953).Google Scholar
5. Watson, G. N., A treatise on the theory of Bessel Functions (Cambridge, 1944).Google Scholar