TECHNICAL PAPERS
May 1, 1983

Turbulent Underflow in a Short Channel of Limited Depth

Publication: Journal of Hydraulic Engineering
Volume 109, Issue 5

Abstract

The flow characteristics of a turbulent underflow in a horizontal channel of limited depth are explored analytically and experimentally under a variety of upstream and downstream control conditions. Freshwater and salt water are used in the physical model to simulate a stable density stratification, and a contraction is adopted as a downstream control device. Three typical flow situations, respectively, distinguished as drowned internal jump, free internal jump, and flow instability, are observed depending on the nature of the interaction between the upstream and downstream controls. The hydraulic properties of each one of the flow situations are reviewed, and the experimental observations are compared with the results obtained from a hydraulic analysis. Maximum turbulent mixing is demonstrated to occur at a particular value of the discharge densimetric Froude number. Further increase of discharge densimetric Froude number is expected to result in a decrease in turbulent mixing and eventually to provoke a flow instability.

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References

1.
Backhmeteff, B. A., and Matzke, A. E., “The Hydraulic Jump in Terms of Dynamic Similarity,” Transactions, ASCE, Vol. 101, 1936, pp. 630–647.
2.
Baddour, R. E., and Abbink, H., “Analytical and Experimental Study of Underflow Discharge in a Channel of Limited Depth,” Technical Report, No. 82‐1, Faculty of Engineering Science, The University of Western Ontario, London, Ontario, Canada, June, 1982.
3.
Baddour, R. E., and Chu, V. H., “Buoyant Surface Discharge on a Step and on a Sloping Bottom,” Technical Report, No. 75‐2 (FML), Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Canada, Sept., 1975.
4.
Chu, V. H., and Baddour, R. E., “Surges, Waves, and Mixing in a Two‐layer Density Stratified Flow,” Proceedings of XVIIth Congress, International Association for Hydraulics Research, Baden‐Baden, 1977, pp. 303–310.
5.
Chu, V. H., and Vanvari, M. R., “Experimental Study of Turbulent Stratified Shearing Flow,” Journal of the Hydraulics Division, ASCE, Vol. 102, No. HY6, 1976, pp. 691–706.
6.
Ellison, T. H., and Turner, J. S., “Turbulent Entrainment in Stratified Flows,” Journal of Fluid Mechanics, Vol. 6, 1959, pp. 423–448.
7.
Harleman, D. R. F., “Stratified Flow,” Handbook of Fluid Dynamics, V. L. Streeter, ed., Sect. 26, McGraw‐Hill Book Co., Inc., New York, N.Y., 1960.
8.
Jirka, G. H., and Harleman, D. R. F., “Stability and Mixing of a Vertical Plane Buoyant Jet in Confined Depth,” Journal of Fluid Mechanics, Vol. 94, 1979, pp. 275–304.
9.
Koh, R. C. Y., “Two‐Dimensional Surface Warm Jets,” Journal of the Hydraulics Division, ASCE, Vol. 97, No. HY6, June, 1971, pp. 819–836.
10.
Long, R. R., “Some Aspects of the Flow of Stratified Fluids I. A. Theoretical Investigation,” Tellus, Vol. 5, 1953, pp. 42–58.
11.
Long, R. R., “Some Aspects of the Flow of Stratified Fluids II. Experiments with a Two‐fluid System,” Tellus, Vol. 6, 1954, pp. 97–115.
12.
Mehrotra, S. C., and Kelly, R. E., “On the Question of Non‐uniqueness of Internal Hydraulic Jumps and Drops in a Two‐fluid System,” Tellus, Vol. 25, 1973, pp. 560–567.
13.
Rouse, H., Siao, T. T., and Nagaratnam, S., “Turbulence Characteristics of the Hydraulic Jump,” Transactions, ASCE, 1959, pp. 926–950.
14.
Schijf, J. B., and Schönfeld, “Theoretical Considerations on the Motion of Salt and Fresh Water,” Proceedings of the Minnesota International Hydraulics Convention, International Association for Hydraulics Research and ASCE, 1953, pp. 321–333.
15.
Stefan, H., “Dilution of Buoyant Two‐Dimensional Surface Discharges,” Journal of the Hydraulics Division, ASCE, Vol. 98, No. HY1, Jan., 1972, pp. 71–86.
16.
Stefan, H., and Hayakawa, N., “Mixing Induced by an Internal Hydraulic Jump,” Water Resources Bulletin, American Water Resources Association, Vol. 8, No. 3, 1972, pp. 531–545.
17.
Turner, J. S., Buoyancy Effects in Fluids, Cambridge University Press, Cambridge, England, 1973, pp. 64.
18.
Wilkinson, D. L., and Wood, I. R., “A Rapidly Varied Flow Phenomenon in a Two‐layer Flow,” Journal of Fluid Mechanics, Vol. 47, 1971, pp. 241–256.
19.
Yih, C.‐S., and Guha, C. R., “Hydraulic Jump in a Fluid System of Two Layers,” Tellus, Vol. 7, 1955, pp. 358–366.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 109Issue 5May 1983
Pages: 722 - 740

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Published online: May 1, 1983
Published in print: May 1983

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Authors

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Raouf E. Baddour
Asst. Prof., Fac. of Engrg. Sci., The Univ. of Western Ontario, London, Ontario, Canada
Harry Abbink
Research Asst., Fac. of Engrg. Sci., The Univ. of Western Ontario, London, Ontario, Canada

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