Cx t0Cx t 0 0Cx t r

where D^ is the longitudinal dispersion coefficient which turns out to be proportional to the spatial variability of the flow field around its mean value and inversely proportional to the turbulent diffusivity. The value of the dispersion coefficient may vary by a few orders of magnitude according to application. The reader is invited to read specialist books and papers to obtain predictions and estimates of the dispersion coefficient.

See also: Transport over Membranes. Further Reading

Elder JW (1959) The dispersion of marked fluid in turbulent shear flow. Journal of Fluid Mechanics 5: 544-560.

Fischer HB (1967) The mechanics of dispersion in natural streams.

Journal of the Hydraulics Division, ASCE 93(6): 187-215. Fischer HB, List EJ, Koh RC, Imberger J, and Brooks NH (1979) Mixing in Inland and Coastal Waters. New York: Academic Press. Rutherford JC (1994) River Mixing. Chichester: Wiley. Taylor GI (1954) The dispersion of matter in turbulent flow through a pipe. Proceedings of the Royal Society of London, Series A 223: 446-468.

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