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A simple representation of a developing contaminant concentration field

Published online by Cambridge University Press:  26 April 2006

B. L. Sawford  and
P. J. Sullivan
B. L. Sawford
Affiliation:
CSIRO Division of Atmospheric Research, Private Bag No 1, Mordialloc, Vic. 3195, Australia
P. J. Sullivan
Affiliation:
Department of Applied Mathematics, University of Western Ontario, London, Ontario, Canada N6A5B9
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Abstract

Chatwin & Sullivan (1990) have demonstrated that, for a wide range of self-similar scalar fields, the moments of the probability density function of concentration have a very simple form. Here, an extension to this simple form which takes account of the source distribution is developed. This extension has two effects. Firstly it modifies the values of the two parameters appearing in the original theory and in particular explains the observed behaviour of these parameters very near to a line source of heat in grid tubulence. Secondly, it introduces an additional parameter in the description of each moment beyond the second. It is shown that these additional parameters are necessary in order to describe measurements of the first four central moments throughout the concentration field from a continuous line source of heat in grid-generated turbulence.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 289 , 25 April 1995 , pp. 141 - 157
Copyright
© 1995 Cambridge University Press

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References

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