Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-18T15:49:26.187Z Has data issue: false hasContentIssue false
  • English
  • Français

Temporal moments at large distances downstream of contaminant releases in rivers

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 Street, Cambridge CB3 9EW
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper concerns the effects of topographic changes upon the dispersion of contaminants in rivers. Exact analytical results are derived for the time-of-arrival, temporal variance and skewness far downstream of a sudden contaminant release. It is demonstrated that there can exist optimal discharge sites, such that at all positions far downstream the maximum concentrations are minimized.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 140 , March 1984 , pp. 153 - 174
Copyright
© 1984 Cambridge University Press

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

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
Aris, R. 1960 On the dispersion of a solute in pulsating flow through a tube. Proc. R. Soc. Lond. A 259, 370–376.Google Scholar
Chatwin, P. C. 1970 The approach to normality of the concentration distribution of a solute in solvent flowing along a straight pipe. J. Fluid Mech. 43, 321–352.Google Scholar
Chatwin, P. C. 1980 Presentation of longitudinal dispersion data. J. Hydraul. Div. ASCE 106, 71–83.Google Scholar
Daish, N. C. 1984 In preparation.
Elder, J. W. 1959 The dispersion of marked fluid in turbulent shear flow. J. Fluid Mech. 5, 544–560.Google Scholar
Fisher, H. B. 1967 The mechanics of dispersion in natural streams. J. Hydraul. Div. ASCE 93, 187–216.Google Scholar
Fischer, H. B. 1969 The effects of bends on dispersion in streams. Water Resources Res. 5, 496–506.Google Scholar
Fukuoka, S. & Sayre, W. W. 1973 Longitudinal dispersion in sinuous channels. J. Hydraul. Div. ASCE 99, 195–217.Google Scholar
Jayaraj, K. & Subramanian, R. S. 1978 On relaxation phenomena in field-flow fractionation. Sep. Sci. Tech. 13, 791–817.Google Scholar
Nordin, C. F. & Troutman, B. M 1980 Longitudinal dispersion in rivers: the persistence of skewness in observed data. Water Resources Res. 16, 123–128.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 Gaussian approximation for contaminant dispersion. Q. J. Mech. Appl. Maths 35, 345–366.Google Scholar
Smith, R. 1983 Longitudinal dispersion coefficients for varying channels. J. Fluid Mech. 130, 299–314.Google Scholar
Sumer, S. M. 1976 Transverse dispersion in partially stratified tidal flow. Univ. California, Berkeley, Hydraul. Engng Lab. Rep. WHM-20.Google Scholar
Taylor, G. I. 1953 Dispersion of soluble matter in solvent flowing slowly through a tube. Proc. R. Soc. Lond. A 219, 186–203.Google Scholar
Tsai, Y. H. & Holley, E. R. 1978 Temporal moments for longitudinal dispersion. J. Hydraul. Div. ASCE 104, 1617–1634.Google Scholar
Tsai, Y. H. & Holley, E. R. 1980 Temporal moments for longitudinal dispersion. J. Hydraul. Div. ASCE 106, 2063–2066.Google Scholar