TECHNICAL PAPERS
Oct 1, 1992

Modeling Low‐Flow Mixing through Pools and Riffles

Publication: Journal of Hydraulic Engineering
Volume 118, Issue 10

Abstract

The complex nature of low‐flow mixing in natural channels has been investigated using both laboratory experiments and the numerical solution of a proposed mathematical model that is based on a set of mass balance equations describing the mixing and mass exchange mechanisms. Laboratory experiments, which involved collection of channel geometry, hydraulic, and dye dispersion test data, were conducted in a model of four pool‐and‐riffle sequences in a 49‐m (161‐ft) long tilting flume. The experimental results show that flow over the model pool‐riffle sequences is highly nonuniform. Concentration‐time curves are significantly skewed with long tails. Comparison between measured and predicted concentration‐time curves shows good agreement in the general shape, peak concentration, and time to peak. The proposed model shows significant improvement over the conventional one‐dimensional dispersion model in predicting natural mixing process in open channels under low‐flow conditions through pools and riffles.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Bencala, K. E., and Walters, R. A. (1983). “Simulation of solute transport in a mountain pool‐and‐riffle stream: A transient storage model.” Water Resour. Res., 19(3), 718–724.
2.
Bhowmik, N. G. (1979). “Hydraulics of flow in the Kaskaskia River, Illinois.” Report of Investigation, No. 91, Illinois State Water Survey, Champaign, Illinois.
3.
Day, T. J. (1975). “Longitudinal dispersion in natural channels.” Water Resour. Res., 11(6), 909–918.
4.
Fischer, H. B. (1966). “Longitudinal dispersion in laboratory and natural streams.” Tech. Report, KH‐R‐12, California Inst. of Tech., Pasadena, Calif.
5.
Fischer, H. B., and Holley, E. R. (1971). “Analysis of the use of distorted models for dispersion studies.” Water Resour. Res., 7(1), 46–51.
6.
Fischer, H. B., List, E. J., Koh, R. C. Y., Imberger, J., Brooks, N. H. (1979). Mixing in inland and coastal waters. Academic Press, New York, N.Y.
7.
Godfrey, R. G., and Frederick, B. J. (1970). “Stream dispersion at selected sites.” Professional Paper 433‐K, U.S. Geological Survey (USGS), Washington, D.C.
8.
Hays, J. R., Krenkel, P. A., and Schnelle, K. B. (1967). “Mass transport mechanisms in open‐channel flow.” Technical Report No. 8, Vanderbilt, Univ., Nashville, Tenn.
10.
Henderson, F. M. (1966). Open channel flow, Macmillan, New York, N.Y.
11.
Jackman, A. P., Walters, R. A., and Kennedy, V. C. (1984). “Low‐flow Transport Models for Conservative and Sorbed Solute‐Uvas Creek Studies.” Water Resources Investigation Reports No. 84‐4041, U.S. Geological Survey (USGS), Menlo Park, Calif.
12.
Legrand‐Marcq, C., and Laudelot, H. (1985). “Longitudinal dispersion in a forest stream.” J. Hydro., 78, 317–324.
13.
Leopold, L. B., Wolman, M. G., and Miller, J. P. (1964). Fluvial processes in geomorphology. W. H. Freeman, San Francisco, Calif.
14.
Miller, B. A., and Wenzel, H. G. (1985). “Analysis and simulation of low flow hydraulics.” J. Hydr. Engrg., ASCE, 111(12), 1429–1446.
15.
Nordin, C. F., and Sabol, G. V. (1974). “Empirical data on longitudinal dispersion in rivers.” Water Resources Investigation 20‐74, U.S. Geological Survey (USGS), Lakewood, Calif.
16.
Prych, E. A. (1969). Discussion of “Numerical studies of unsteady dispersion in estuaries,” by Donald R. F. Harleman, Chok‐Hung Lee, and Lawrence C. Hall. J. Sanit. Engrg., ASCE, 95(5), 959–964.
17.
Seo, I. W. (1990). “Low flow mixing in open channels,” PhD thesis, Univ. of Illinois at Urbana‐Champaign, Urbana, ill.
18.
Sobey, R. J. (1984). “Numerical alternatives in transient stream response.” J. Hydr. Engrg., ASCE, 110(6), 749–772.
19.
Stone, H. L., and Brian, P. T. (1963). “Numerical solution of convective transport problems.” AIChE J., 9(5), 681–688.
20.
Taylor, G. I. (1954). “The dispersion of matter in turbulent flow through a pipe.” Proc. Royal Society of London, Ser. A, 223, 446–468.
21.
Thomann, R. V., and Mueller, J. A. (1987). Principles of surface water quality modeling and control. Harper & Row, New York, N.Y.
22.
Tsai, Y. H., and Holley, E. R. (1979), “Temporal and spatial moments for longitudinal mixing in prismatic channels with storage in separation zones.” Hydr. Engrg. Series, No. 35, Univ. of Illinois, Urbana, ill.
23.
Valentine, E. M., and Wood, I. R. (1977). “Longitudinal dispersion with dead zones.” J. Hydr. Div., ASCE, 103(9), 975–990.
24.
Valentine, E. M., and Wood, I. R. (1979b). “Experiments in longitudinal dispersion with dead zones.” J. Hydr. Div., ASCE, 105(8), 999–1016.
25.
Valentine, E. M., and Wood, I. R. (1979a). “Dispersion in rough rectangular channels.” J. Hydr. Div., ASCE, 105(12), 1537–1553.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 118Issue 10October 1992
Pages: 1406 - 1423

History

Published online: Oct 1, 1992
Published in print: Oct 1992

Permissions

Request permissions for this article.

Authors

Affiliations

Il Won Seo, Member, ASCE
Asst. Prof., Dept. of Civ. Engrg., Seoul Nat. Univ., San 56‐1, Sinlim‐Dong, Gwanak‐Ku, Seoul 151‐742, Korea
W. Hall C. Maxwell, Fellow, ASCE
Prof., Dept. of Civ. Engrg., Univ. of Illinois at Urbana‐Champaign, 205 N. Mathews Ave., Urbana, IL 61801‐2397

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share