DOI: 10.1017/s0022112083003286. Effect of boundary absorption upon longitudinal dispersion in shear flows

Effect of boundary absorption upon longitudinal dispersion in shear flows

10.1017/s0022112083003286

Crossref journal-article

Cambridge University Press (CUP)

Journal of Fluid Mechanics (56)

Abstract

Boundary absorption causes a depletion of contaminant. Since the boundary tends to be the region of lowest velocity and of strongest shear, the remaining contaminant experiences on average an increased advection velocity, a reduced rate of shear dispersion, and a tendency to develop skewness towards the rear. Here it is shown how all these effects can be incorporated into a delay-diffusion description of the longitudinal dispersion process (Smith 1981). It is the accurate reproduction of the skewness that permits a delay-diffusion equation to become applicable at an earlier stage than the more conventional diffusion-equation models for longitudinal dispersion, and before there has been an undue loss of contaminant through the boundary.

Bibliography

Smith, R. (1983). Effect of boundary absorption upon longitudinal dispersion in shear flows. Journal of Fluid Mechanics, 134, 161â177.

Authors 1

Ronald Smith (first)

References 19 Referenced 71

Dates

Type	When
Created	19 years, 4 months ago (April 20, 2006, 6:54 a.m.)
Deposited	2 months, 1 week ago (June 20, 2025, 11:56 p.m.)
Indexed	1 month, 1 week ago (July 24, 2025, 7:22 a.m.)
Issued	42 years ago (Sept. 1, 1983)
Published	42 years ago (Sept. 1, 1983)
Published Online	19 years, 4 months ago (April 20, 2006)
Published Print	42 years ago (Sept. 1, 1983)

Funders 0

None

BibTeX

@article{Smith_1983, title={Effect of boundary absorption upon longitudinal dispersion in shear flows}, volume={134}, ISSN={1469-7645}, url={http://dx.doi.org/10.1017/s0022112083003286}, DOI={10.1017/s0022112083003286}, journal={Journal of Fluid Mechanics}, publisher={Cambridge University Press (CUP)}, author={Smith, Ronald}, year={1983}, month=sep, pages={161–177} }

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  "abstract": "<jats:p>Boundary absorption causes a depletion of contaminant. Since the boundary tends to be the region of lowest velocity and of strongest shear, the remaining contaminant experiences on average an increased advection velocity, a reduced rate of shear dispersion, and a tendency to develop skewness towards the rear. Here it is shown how all these effects can be incorporated into a delay-diffusion description of the longitudinal dispersion process (Smith 1981). It is the accurate reproduction of the skewness that permits a delay-diffusion equation to become applicable at an earlier stage than the more conventional diffusion-equation models for longitudinal dispersion, and before there has been an undue loss of contaminant through the boundary.</jats:p>",
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