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The dependence of shoreline contaminant levels upon the siting of an effluent outfall

Published online by Cambridge University Press:  20 April 2006

Ronald Smith
Ronald Smith
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver St, Cambridge CBS 9EW
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Abstract

It is shown that the advection–diffusion equation for contaminant dispersion in water of variable depth admits of an inverse approach in which the stochastic mean concentration at a fixed sensitive location is calculated for arbitrary discharge sites. A ray method is used to obtain simple approximate solutions for the inverse problem when the sensitive location is situated at the shoreline. This makes explicit the considerable improvements in shoreline pollution levels which can be gained by siting effluent outfalls further away from the shore.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 130 , May 1983 , pp. 153 - 164
Copyright
© 1983 Cambridge University Press

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References

Cohen, J. K. & Lewis, R. M. 1967 A ray method for the asymptotic solution of the diffusion equation J. Inst. Maths Applies 3, 266–290.Google Scholar
Courant, R. & Hilbert, D. 1962 Methods of Mathematical Physics, vol. 2. Interscience.
Fischer, H. B., List, E. J., Koh, R. C. Y., Imberger, J. & Brooks, N. H. 1979 Mixing in Inland and Coastal Waters. Academic.
Kay, A. 1983 The effect of cross-stream depth variations upon contaminant dispersion in a vertically well-mixed current. (In preparation.)
Smith, R. 1981 Effect of non-uniform currents and depth variations upon steady discharges in shallow water J. Fluid Mech. 110, 373–380.Google Scholar
Yotsukura, N. & Cobb, E. D. 1972 Transverse diffusion of solutions in natural streams. U.S. Geol. Survey, Paper no. 582-C.Google Scholar
Yotsukura, N. & Sayre, W. W. 1976 Transverse mixing in natural channels Water Resources Res. 12, 695–704.Google Scholar