Hydraulics of Shallow and Stratified Mixing Channel
Publication: Journal of Hydraulic Engineering
Volume 113, Issue 5
Abstract
The properties of buoyant and dense discharges in a horizontal mixing channel are evaluated analytically and experimentally. The mixing channel is shallow, of specified length and roughness, and connected to a reservoir or stream. The flow in the channel consists of a mixing zone and a gradually varied counterflow. Mixing modes associated with four possible interactions are described. A hydraulic theory is formulated and used to develop synthesized dilution curves. Experiments conducted in a laboratory flume confirmed the existence of four mixing modes, and dilution measurements are consistent with predicted trends. In practice, the theory would be useful in the design and operation of such a facility.
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References
1.
Abraham, G., and Eysink, W. D. (1971). “Magnitude of interracial shear in exchange flow.” J. Hydraulic Research, IAHR, 9(2), 125–151.
2.
Baddour, R. E. (1987). “Hydraulics of deep and stratified mixing channel.” Submitted to J. Hydraulic Research, IAHR, Aug., 1986.
3.
Baddour, R. E., and Abbink, H. (1983). “Turbulent underflow in a short channel of limited depth.” J. Hydr. Engrg., ASCE, 109(5), 722–740.
4.
Baddour, R. E., and Chu, V. H. (1975). “Buoyant surface discharge on a step and on a sloping bottom.” Technical Report 75‐2. Dept. Civ. Engrg. Applied Mech., McGill Univ., Montreal, Canada.
5.
Chu, V. H., and Baddour, R. E. (1977). “Surges, waves and mixing in a twolayer density stratified flow.” Proc. XVIIth Congress. International Assoc. Hydr. Research, Baden‐Baden, 303–310.
6.
Harleman, D. R. F. (1960). “Stratified flow.” Handbook of Fluid Dynamics. Sect. 26. V. L. Streeter, Ed., McGraw‐Hill Book Co., Inc., New York, N.Y.
7.
Jirka, G. H., and Harleman, D. R. F. (1979). “Stability and mixing of a vertical plane buoyant jet in confined depth.” J. Fluid Mech. 94, 275–304.
8.
Keulegan, G. H. (1981). “Significant stresses of arrested saline wedges.” Miscellaneous Paper HL‐81‐5. Final Report, U.S. Army Engr. Waterways Experiment Station.
9.
Koh, R. C. Y. (1971). “Two‐dimensional surface warm jets.” J. Hydr. Div., ASCE, 97(6), 819–836.
10.
Lofquist, K. (1960). “Flow and stress near an interface between stratified liquids.” The Physics of Fluids, 3(2), 158–175.
11.
Long, R. R. (1953). “Some aspects of the flow of stratified fluids, I. A theoretical investigation.” Tellus 5, 42–58.
12.
Rigter, B. P. (1970). “Density induced return currents in outlet channels.” J. Hydr. Div., ASCE, 96(2), 529–546.
13.
Schijf, J. B., and Schonfeld, J. C. (1953). “Theoretical considerations on the motion of salt and fresh water.” Proc. Minnesota International Hydr. Convention, IAHR & ASCE, 321–333.
14.
Stefan, H. (1972). “Dilution of buoyant two‐dimensional surface discharges.” J. Hydr. Div., ASCE, 98(1), 71–86.
15.
Stefan, H., and Hayakawa, N. (1972). “Mixing induced by an internal hydraulic jump.” Water Resources Bull, AWRA, 8(3), 531–545.
16.
Wilkinson, D. L., and Wood, I. R. (1971). “A rapidly varied flow phenomenon in a two‐layer flow.” J. Fluid Mech., 47, 241–256.
17.
Wood, I. R., and Simpson, J. E. (1984). “Jumps in layered miscible fluids.” J. Fluid Mech. 140, 329–342.
18.
Yih, C.‐S., and Guha, C. R. (1955). “Hydraulic jump in a fluid system of two layers.” Tellus 7, 358–366.
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Copyright © 1987 ASCE.
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Published online: May 1, 1987
Published in print: May 1987
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