DOI: 10.1017/s0022112082002675. Non-uniform discharges of contaminants in shear flows

Non-uniform discharges of contaminants in shear flows

10.1017/s0022112082002675

Crossref journal-article

Cambridge University Press (CUP)

Journal of Fluid Mechanics (56)

Abstract

For a non-uniform discharge of contaminant in a shear flow the initial advection velocity and the amount of shear across the contaminant cloud depend upon the discharge shape across the flow. Here i t is shown how the continuing influence of the discharge non-uniformity can be incorporated into a delay-diffusion description of the dispersion process (Smith 198 1). An important improvement over the variable coefficient diffusion equation derived by Gill 85 Sankarasubramanian (1971) is that the solutions have the physically correct superposition property.

Bibliography

Smith, R. (1982). Non-uniform discharges of contaminants in shear flows. Journal of Fluid Mechanics, 120, 71â89.

Authors 1

Ronald Smith (first)

References 13 Referenced 9

Chatwin, P. C. 1970 The approach to normality of the concentration distribution of a solute in solvent flowing along a pipe.J. Fluid Mech. 43,321–352.
Krishnamurthy, S. & Subramanian, R. S. 1977 Exact analysis of field-flow fractionation.Sep. Sci. Tech. 12,347–379.
Taylor, G. I. 1953 Dispersion of soluble matter in solvent flowing slowly through a tube.Proc. R. Soc. Lond. A219,186–203.
Taylor, G. I. 1959 The present position in the theory of turbulent diffusion.Adv. Geophys. 6,101–111.
Dewey, R. J. & Sullivan, P. J. 1982 Longitudinal diffusion at small times.J. Fluid Mech. (submitted).
Jayaraj, K. & Subramanian, R. S. 1978 On relaxation phenomena in field-flow fractionation.Sep. Sci. Tech. 13,791–871.
Smith, R. 1981 A delay-diffusion description for contaminant dispersion.J. Fluid Mech. 105,469–486.
Aris, R. 1956 On the dispersion of a solute in a fluid flowing through a tube.Proc. R. Soc. Lond. A235,67–77.
Thacker, W. C. 1976 A solvable model of shear dispersion.J. Phys. Oceanogr. 6,66–75.
Gill, W. N. & Sankarasubramanian, R. 1971 Dispersion of a non-uniform slug in timedependent flow.Proc. R. Soc. Lond. A322,101–117.
Maron, V. I. 1978 Longitudinal diffusion in a flow through a tube.Int. J. Multiphase Flow 4,339–355.
Smith, R. 1982 Gaussian approximation for contaminant dispersion. Quart. J. Mech. Appl. Math. (to appear). (10.1093/qjmam/35.3.345)
Gill, W. N. & Sankarasubramanian, R. 1970 Exact analysis of unsteady convective diffusion.Proc. R. Soc. Lond. A316,341–350.

Dates

Type	When
Created	19 years, 4 months ago (April 20, 2006, 6:02 a.m.)
Deposited	6 years, 2 months ago (June 6, 2019, 1:49 p.m.)
Indexed	2 months, 1 week ago (June 21, 2025, 4:23 a.m.)
Issued	43 years, 2 months ago (July 1, 1982)
Published	43 years, 2 months ago (July 1, 1982)
Published Online	19 years, 4 months ago (April 20, 2006)
Published Print	43 years, 2 months ago (July 1, 1982)

Funders 0

None

BibTeX

@article{Smith_1982, title={Non-uniform discharges of contaminants in shear flows}, volume={120}, ISSN={1469-7645}, url={http://dx.doi.org/10.1017/s0022112082002675}, DOI={10.1017/s0022112082002675}, journal={Journal of Fluid Mechanics}, publisher={Cambridge University Press (CUP)}, author={Smith, Ronald}, year={1982}, month=jul, pages={71–89} }

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