Experimental Investigation of Shallow Recirculating Flows
Publication: Journal of Hydraulic Engineering
Volume 115, Issue 7
Abstract
Experiments were conducted to study the bed‐friction influence in the recirculating zone of a shallow open‐channel flow. Velocity measurements were made using a hot‐film anemometer. The recirculating flow rate and the length of the recirculating zone were determined from the measurements, and they are related to a horizontal length scale and a bed‐friction length scale. For deep flows, the results are independent of the bed‐friction length scale. For shallow flows, the results are independent of the horizontal length scale. Turbulence in the recirculating flows is generated, on one hand, by the bed friction and, on the other hand, by the transverse shear. The bed‐generated component is proportional to the bed‐friction velocity. The transverse component is confined to a transverse, mixing region. In the limit of shallow water depth, when the flow is under strong bed‐friction influence, both the transverse mixing region and the recirculating zone have the same length of about one friction length scale.
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References
1.
Abbott, D. E., and Kline, S. J. (1962). “Experimental investigation of subsonic turbulent flow over single and double backward facing steps.” J. Basic Engrg., 84(3), 317–325.
2.
Abbott, M. B., and Larsen, J. (1985). “Modelling circulations in depth‐integrated flows. Part II: A reconciliation.” J. Hydr. Res., 23(5), 397–420.
3.
Abbott, M. B., Larsen, J., and Tao, J. (1985). “Modelling circulations in depth‐integrated flows. Part I: The accumulation of the evidence.” J. Hydr. Res., 23(4), 309–326.
4.
Abbott, M. B., and Rasmussen, C. H. (1977). “On the numerical modelling of rapid expansions and contractions that are two‐dimensional in plan.” Proc., 17th Congress of lAHR, 2, 229–237.
5.
Alavian, V., and Chu, V. H. (1985). “Turbulent exchange in a shallow compound channel.” Proc., 21th Congress of IAHR, 3, 446–451.
6.
Armaly, B. F., et al. (1983). “Experimental and theoretical investigation of backward‐facing step flow,” J. Fluid Mech., 127, 473–496.
7.
ASCE Task Force. (1963). “Friction factors in open channel flows.” J. Hydr. Div., 89(2), 97–143.
8.
Bye, J. A. T., Byron‐Scott, R. A. D., Maxworthy, T., and Nunes, R. A. (1986). “Natural flow visualization in Lake Eyre, South Australia.” Trans., Am. Geophys. Union, EOS, 67(5), 58–59.
9.
Champagne, F. H., Pao, Y. H., and Wygnanski, I. J. (1976). “On the two‐dimensional mixing region.” J. Fluid Mech., 74(2), 209–250.
10.
Chu, V. H., and Babarutsi, S. (1988). “Confinement and bed‐friction effects in shallow turbulent mixing layers.” J. Hydr. Engrg., 114(10), 1257–1274.
11.
Chu, V. H., and Baines, W. D. (1989). “Entrainment by a buoyant jet between confined walls.” J. of Hydr. Engrg., ASCE, 115(4), 475–492.
12.
Chu, V. H., and Jirka, G. H. (1986). “Surface buoyant jets and plumes.” Encyclopedia of fluid mechanics, vol. VI, Gulf Publishing Co., Houston, Tex.
13.
Chu, V. H., Wu, J.‐H., and Khayat, R. E. (1983). “Stability of turbulent shear flows in shallow channel.” Proc. 20th Congress of lAHR, Moscow, U.S.S.R., 3, 128–133.
14.
Eaton, J. K., and Johnston, J. P. (1980). “An evaluation of data for the backward‐facing‐step flow.” Proc., 1980/81 Stanford Conf. on Complex Turbulent Flows, Stanford Univ., Stanford, Calif.
15.
Eaton, J. K., and Johnston, J. P. (1981). “A review of research on subsonic turbulent flow reattachment.” AIAA J., 19(9), 1093–1100.
16.
Etheridge, D. W., and Kemp, P. H. (1978). “Measurements of turbulent flow downstream of a rearward‐facing step.” J. Fluid Mech., 86(3), 545–566.
17.
Flokstra, C. (1977). “The closure problem for depth‐averaged two‐dimensional flow.” Proc., 17th Congress of IAHR, Baden‐Baden, West Germany, 2, 247–256.
18.
Flokstra, C. (1981). “Aspects of modelling horizontal momentum transfer in shallow flow.” Report No. R1150, Delft Hydraulics Laboratory, Delft, The Netherlands.
19.
Giger, M., Jirka, G. H., and Dracos, T. (1985). “Meandering jets in a shallow fluid layers.” Fifth Symp. Turbulent Shear Flows, Cornell University, Ithaca, N.Y.
20.
Gosman, A. D., Pun, W. M., Runchal, A. K., Spalding, D. B., and Wolfshtein, M. (1969). Heat and mass transfer in recirculating flows. Academic Press, London, U.K.
21.
Hearn, C. J., Hunter, J. R., Imberger, J., and Van Senden, D. (1985). “Tidally induced jet in Koombana Bay, Western Australia.” Aust. J. Mar. Freshw. Res., 36, 453–479.
22.
Ingram, R. G., and Chu, V. H. (1987). “Flows around islands in Rupert Bay: An investigation of the bed‐friction effect.” J. Geophy. Res. Ocean, 92(C13), 14521–14534.
23.
Johnston, J. P. (1978). “Internal flows.” Turbulence, P. Bradshaw, ed., Springer‐Verlag, New York, N.Y., 106–169.
24.
Kalkwijk, J. P. T., and de Vriend, H. J. (1980). “Computation of the flow in shallow river bends.” J. Hydr. Res., 18(4), 327–342.
25.
Lean, G. H., and Weare, T. J. (1979). “Modelling two‐dimensional circulating flow.” J. Hydr. Div., ASCE, 105(1), 17–26.
26.
Moss, W. D., Baker, S., and Bradbury, L. J. S. (1979). “Measurements of mean velocity and Reynolds stresses in some regions of recirculating flow.” Turbulent shear flows I, Springer‐Verlag, New York, N.Y., 198–207.
27.
Onishi, S. (1983). “Study of vortex structure of jet through remote sensing.” J. Hydrosci. Hydr. Engrg., 1(2), 53–63.
28.
Ouellet, Y., Dupuis, P., and Soulaimani, A. (1986). “Modélisation d'un écoulement tourbillonnaire en régime permanent.” Can. J. Civ. Eng., 13(3), 310–318 (in French).
29.
Ponce, V. M., and Yabusaki, S. B. (1981). “Modeling circulation in depth‐averaged flow.” J. Hydr. Div., ASCE, 107(11), 1501–1518.
30.
Rastogi, A. K., and Rodi, W. (1978). “Prediction of heat and mass transfer in open channels.” J. Hydr. Div., 104(3), 397–420.
31.
Rodi, W. (1979). “Turbulence models and their application in hydraulics—a state‐of‐the‐art review.” Special Publication, International Association for Hydraulic Research, Delft, The Netherlands.
32.
Rozovskii, I. L. (1961). Flow of water in bends of open channel flows. Academy of Sciences of the Ukranian SSR, Kiev, U.S.S.R. (available from Office of Technical Services, United States Department of Commerce, Washington, D.C.).
33.
Song, C. S., and Yuen, M. (1987). “Modeling large scale vortices and flow separations.” Proc., 22th Congress of IAHR, Vol. B, 47–52.
34.
Wolanski, E., Imberger, J., and Heron, M. L. (1984). “Islands wakes in shallow coastal water.” J. Geophys. Res., 89(C6), 10553–10569.
35.
Wolanski, E., Jupp, D. L. B., and Pickard, G. L. (1986). “Currents and coral reefs.” Oceanus, Wood Hole Oceanographic Inst., 29(2), 83–89.
36.
Wubs, F. W. (1987). “Shallow‐water flow computations by an explicit method on the Cyber 205,” Proc., 22th Congress of IAHR, Vol. B, 71–76.
Information & Authors
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Published In
Journal of Hydraulic Engineering
Volume 115 • Issue 7 • July 1989
Pages: 906 - 924
Copyright
Copyright © 1989 ASCE.
History
Published online: Jul 1, 1989
Published in print: Jul 1989
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