Technical Papers
Jan 20, 2015

Thorough Dispersal of Dosants in Conduits

Publication: Journal of Hydraulic Engineering
Volume 141, Issue 5

Abstract

Liquid streams of chemicals (dosants) such as sodium hypochlorite frequently need to be quickly and thoroughly mixed across a water or wastewater flow. Where no mixing tanks, stirrers, or pumps are available to ensure rapid and complete mixing, the existing flow turbulence in the conduit will be adequate for mixing if the effective available conduit length exceeds a value proportional to R/(Nf0.5), where R is the conduit’s hydraulic radius, N is the number of well-spaced dosing points at the dosing station, and f is the Darcy-Weisbach factor for the conduit. The proportionality varies slightly with the degree of uniformity required of the dosant concentration across the conduit cross section. The analysis, based on consideration of a square conduit, agrees closely with one (by others) based on a conduit of circular cross section. Laboratory and field data support the analysis to a useful extent.

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Acknowledgments

The author acknowledges CDM Smith’s corporate support for this work, and the helpful reviews and suggestions by his CDM Smith colleagues Charles Allaben, Mark Allen, Carl Frizzell, Andrew Reid, and Christopher Schultz.

References

ANSYS. (2006). “Section 8.9.5: Mass diffusion coefficient.” Fluent 6.3 user’s guide, Canonsburg, PA.
Becker, H. A., et al. (1963). Turbulent dispersion in a pipe flow, Defense Technical Information Center, Fort Belvoir, VA.
Beltaos, S. (1980). “Transverse mixing tests in natural streams.” J. Hydraul. Div., 106(10), 1607–1625.
Clayton, C. G., Ball, A. M., and Spackman, R. (1968). “Dispersion and mixing during turbulent flow of water in a circular pipe.”, Isotope Research Div., Wantage Research Laboratory, Wantage, Berkshire, England, 30–31.
Deng, Z.-Q., et al. (2003). Predicting transverse turbulent diffusivity in straight alluvial rivers, Univ. of Coimbra, Portugal.
Elder, J. W. (1959). “The dispersion of marked fluid in turbulent shear flow.” J. Fluid Mech., 5(4), 544–560.
Filmer, R. W., and Yevdjevich, V. M. (1967). “The use of tracers in making accurate discharge measurements in pipelines.” Proc., 12th Congress, Vol. 4, International Association of Hydraulic Research, Fort Collins, CO, 115–123.
Fischer, H. B., et al. (1979). Mixing in inland and coastal waters, Academic Press, New York.
Flesch, T. K., et al. (2002). “Turbulent Schmidt number from a tracer experiment.” Agric. For. Meteorol., 111, 299–307.
French, J. A. (2013). “Turbulent mixing across large conduits.” J. N. Engl. Water Works Assoc., 127(3), 213–228.
Ger, A. M., and Holley, E. R. (1974). “Turbulent jets in crossing pipe flow.”, Univ. of Illinois at Urbana-Champaign, Urbana, IL, 198.
Holley, E. R. (1977). “Dilution method of discharge measurement in pipes.” Proc., Flow Measurement Symp., National Bureau of Standards, Gaithersburg, MD, 395–421.
Holley, E. R., and Ger, A. M. (1978). “Circumferential diffusion in pipe mixing.” J. ASCE, 104(4), 471–485.
Johnson, C., et al. (2005). Where does CT begin? Assessment of chemical mixing in large diameter pipes, Malcolm Pirnie and Tampa Bay Water, Tampa, FL.
Prych, E. A. (1970). “Effects of density differences on lateral mixing in open channel flows.”, California Institute of Technology, Pasadena, CA.
Rutherford, J. E. (1994). River mixing, Wiley, Chichester, England.
Schiller, E. J., and Sayre, W. W. (1973). “Vertical mixing of heated effluents in open-channel flow.”, Univ. of Iowa, Iowa City, IA.
Taylor, G. I. (1954). “The dispersion of matter in turbulent flow through a pipe.” Proc. R. Soc. London, Ser. A, 223(1155), 446–468.
Webel, G., and Schatzmann, M. (1984). “Transverse mixing in open channel flow.” J. Hydraul. Eng., 423–435.
Wren, D. G., et al. (2000). “Studies in suspended sediment and turbulence in open channel flows.”, Channel and Watershed Processes Research Unit, National Sedimentation Laboratory, Oxford, MS.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 141Issue 5May 2015

History

Received: May 26, 2014
Accepted: Dec 3, 2014
Published online: Jan 20, 2015
Published in print: May 1, 2015
Discussion open until: Jun 20, 2015

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Jonathan A. French, M.ASCE [email protected]
Retired, Hydraulics and Coastal Specialist, CDM Smith, Inc., Cambridge, MA 02139; mailing address: 11012 Bittersweet Court, Ellicott City, MD 21042. E-mail: [email protected]

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