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When and where to put a discharge in an oscillatory flow

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 CB3 9EW
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Abstract

Exact results are derived for the centroid and longitudinal variance of a passive contaminant distribution at large times after an instantaneous discharge in an oscillatory flow in a straight channel of constant cross-section. It is shown that the precise timing and cross-stream position of the discharge can have a substantial and persistent influence.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 153 , April 1985 , pp. 479 - 499
Copyright
© 1985 Cambridge University Press

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References

Allen, C. M. 1982 Numerical simulation of contaminant dispersion in estuary flows. Proc. R. Soc. Lond. A 381, 179–184.Google Scholar
Aris, R. 1956 On the dispersion of a solute in a fluid flowing through a tube. Proc. R. Soc. Lond. A 235, 67–77.Google Scholar
Bowden, K. F. 1965 Horizontal mixing in the sea due to a shearing current. J. Fluid Mech. 21, 83–95.Google Scholar
Chatwin, P. C. 1975 On the longitudinal dispersion of passive contaminant in oscillatory flows in tubes. J. Fluid Mech. 71, 513–527.Google Scholar
Daish, N. C. 1985 Optimal discharge profiles for sudden contaminant releases in steady, uniform open channel flow. J. Fluid Mech. (to appear).Google Scholar
Fischer, H. B. 1972 Mass transport mechanisms in partially stratified estuaries. J. Fluid Mech. 53, 671–687.Google Scholar
Holley, E. R., Harleman, D. R. F. & Fischer, H. B. 1970 Dispersion in homogeneous estuary flow. J. Hydraul. Div. ASCE 96, 703–724.Google Scholar
Kreiss, H. 1957 Some remarks about nonlinear oscillations in tidal channels. Tellus 9, 53–68.Google Scholar
Smith, R. 1981 The importance of discharge siting upon contaminant dispersion in narrow rivers and estuaries. J. Fluid Mech. 108, 45–53.Google Scholar
Smith, R. 1982 Contaminant dispersion in oscillatory flows. J. Fluid Mech. 114, 379–398.Google Scholar
Smith, R. 1983 The contraction of contaminant distributions in reversing flows. J. Fluid Mech. 128, 137–152.Google Scholar
Smith, R. 1984 Temporal moments at large distances downstream of contaminant releases in rivers. J. Fluid Mech. 140, 153–174.Google Scholar
Yasuda, H. 1982 Longitudinal dispersion due to the boundary layer in an oscillatory current: theoretical analysis in the case of an instantaneous line source. J. Oceanogr. Soc. Japan 38, 385–394.Google Scholar