Mixing in River Underflow
Publication: Journal of Hydraulic Engineering
Volume 113, Issue 6
Abstract
Data is presented detailing the water motion in the Wellington Reservoir induced by the outflow from the valve at the base of the dam wall. This outflow system establishes a simple horizontal shear flow longitudinally along the axis of the reservoir, the characteristics of which are determined by the three‐dimensional sink flow dynamics at the valve. The associated gradient Richardson number of this flow is 11.2; the vertical mass diffusion coefficient, estimated from temperature measurements, is and the energy dissipation, obtained from microstructure profiles, is around Together these measurements imply a flux Richardson number of 0.28. The large value of the gradient Richardson number computed from the sink flow velocity profile suggests that this mean velocity shear was augmented by a field of internal waves, which locally lowered the gradient Richardson number below the critical values.
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References
1.
Bohan, J. P., and Grace, J. L. (1973). “Selective withdrawal from man‐made lakes.” Tech. Rep. H‐73‐4, U.S. Army Engineer, Waterways Experiment Station, Vicksburg, Miss.
2.
Bryant, P. J., and Wood, I. R. (1976). “Selective withdrawal from a layered fluid.” J. Fluid Mech., 77 (3), Oct., 581–591.
3.
Caldwell, D. R., and Dillon, T. M. (1981). “An oceanic microstructure measuring system.” Oregon State Univ. Ref. 81‐10, Corvallis, Oreg.
4.
Fischer, H. B., et al. (1979). Mixing in inland and coastal waters. Academic Press, New York, N.Y.
5.
Fozdar, F. M. (1984). “An introduction to the mixed‐layer probe.” Measurement. 2 (2), Apr.–Jun., 103–110.
6.
Fozdar, F. M., Parker, G. J., and Imberger, J. (1985). “Matching temperature and conductivity sensor response characteristics.” J. Phys. Ocean. 15 (11), Nov., 1557–1569.
7.
Gariel, P. (1949). “Experimental research on the flow of nonhomogeneous fluids.” Houille blanche. 4, 56–64.
8.
Gargett, A. E., Osborn, T. R., and Nasmyth, P. W. (1984). “Local isotropy and the decay of turbulence in a stratified fluid.” J. Fluid Mech., 144, Jul., 231–280.
9.
Harleman, D. R. F., Gooch, R. S., and Ippen, I. T. (1958). “Submerged sluice control of stratified flow.” J. Hydr. Div., ASCE, 84(2), 1584‐1–1584‐15.
10.
Harleman, D. R. F., Morgan, R. L., and Purple, R. A. (1959). “Selective withdrawal from a vertically stratified fluid.” 8th Congress of International Association of Hydraulic Research, Montreal, Canada.
11.
Hebbert, R., et al. (1979). “Collie River underflow into the Wellington Reservoir.” J. Hydr. Div., ASCE, 105 (5), May, 533–545.
12.
Hino, M., and Onishi, S. (1969). “Investigation of axisymmetrical stratified flow towards a point sink.” Coast. Engrg. in Japan. 12, Dec., 179–187.
13.
Hocking, G. C. (1985). “Cusp‐like free‐surface flows due to a submerged source or sink in the presence of a flat or sloping bottom.” J. the Australian Math. Soc. B26, 470–486.
14.
Huber, D. G. (1960). “Irrotational motion of two fluid strata toward a line sink.” J. Engrg. Mech. Div., ASCE, 86 (4), Apr., 71–85.
15.
Imberger, J. (1972). “Two‐dimensional sink flow of a stratified fluid contained in a duct.” J. Fluid Mech., 53 (2), May, 329–349.
16.
Imberger, J. (1980). “Selective withdrawal: A review.” Stratified flows, T. Carstens and T. McClimans, Eds. 2nd IAHR Symposium, Trondheim, Tapir, 381–440.
17.
Imberger, J. (1981). “The influence of stream salinity on reservoir water quality.” Land and stream salinity, J. W. Holmes and T. Talsma, Eds. Elsevier Scientific Publishing Company, New York, N.Y., 255–273.
18.
Imberger, J. (1982). “Reservoir dynamics modelling.” Prediction in water quality, E. M. O'Loughlin and P. Cullen, Eds. Australian Academy of Science, Canberra, Australia, 223–248.
19.
Imberger, J. (1985a). “Thermal characteristics of standing waters: An illustration of dynamical processes.” Proc. Perspectives in Southern Hemisphere Limnology, Hydrobiologia, B. R. Davies and R. D. Walmsley, Eds. South Africa, Vol. 125, 7–29.
20.
Imberger, J. (1985b). “The diurnal mixed layer.” Limnology Ocean. 30 (4), Jul., 737–770.
21.
Imberger, J., and Chapman, R. H. (1985). “Djinnang II: A facility to study mixing in stratified waters.” Hydrodynamics of Estuaries, B. Kjerfve, Ed. CRC Press, Boca Raton, Fla.
22.
Imberger, J., and Fandry, C. (1975). “Withdrawal of a stratified fluid from a vertical two‐dimensional duct.” J. Fluid Mech. 70 (2), Jul., 321–332.
23.
Imberger, J., and Hebbert, R. H. B. (1980). “Management of water quality in reservoirs.” Tech. Paper 49. Australian Water Resource Council, Research Project 74/70, Perth, Australia.
24.
Imberger, J., Thompson, R., and Fandry, C. (1976). “Selective withdrawal from a finite rectangular tank.” J. Fluid Mech. 78 (3), Dec., 489–512.
25.
Ivey, G. N., and Blake, S. (1985). “Axisymmetric withdrawal and inflow in a density‐stratified container.” J. Fluid Mech. No. 1, Dec., 115–137.
26.
Ivey, G., and Imberger, J. (1978). “Field investigation of selective withdrawal.” J. Hydr. Div., ASCE, 104 (9), Sep., 1225–1237.
27.
Jirka, G. H., and Katavola, D. S. (1979). “Supercritical withdrawal from twolayered fluid systems, Part 2: Three dimensional flow into a round intake.” J. Hydr. Res. 17 (1), 53–62.
28.
Kao, T. W. (1970). “Free streamline theory for inviscid stratified flow into a line sink.” Phys. of Fluids. 13 (70), Mar., 558–564.
29.
Koh, R. C. Y. (1966). “Viscous stratified flow towards a sink.” J. Fluid Mech. 24 (3), 555–575.
30.
Lawrence, G. A., and Imberger, J. (1979). “Selective withdrawal through a point sink in a continuously stratified fluid with a pycnocline.” Environmental dynamics, Ref. ED‐79‐002, Univ. of Western Australia, Perth, Australia.
31.
Osborn, T. R. (1980). “Estimates of the local rate of vertical diffusion from dissipation measurements.” J. Phys. Ocean. 10 (1), Jan., 83–89.
32.
Pao, H. P., and Kao, T. W. (1974). “Dynamics of establishment of selective withdrawal of a stratified fluid from a line sink, Part I—Theory.” J. Fluid Mech. 65 (4), Oct., 657–688.
33.
Peregrine, D. H. (1972). “A line source beneath a free surface.” Report 1248. Mathematics Research Centre, Univ. of Wisconsin, Madison, Wisc.
34.
Rohr, J., and Van Atta, C. W. (1986). “Mixing efficiency in stably stratified growing turbulence.” J. Geophys. Res., in press.
35.
Silvester, R. S. (1980). “Generation of asymmetric shear fronts by selective withdrawal from a rectangular tank of linearly stratified liquid.” Proc. IAHR 2nd Int. Symp. on Stratified Flow. Trondheim, Norway, 436–446.
36.
Spigel, R. H., and Farrant, B. (1984). “Selective withdrawal through a point sink and pycnocline formation in a linearly stratified flow.” J. Hydr. Res. 22 (1), 35–51.
37.
Stillinger, D. C., Helland, K. N., and Van Atta, C. W. (1983). “Experiments on the transition of homogeneous turbulence to internal waves in a stratified fluid.” J. Fluid Mech. 131, Jun., 91–122.
38.
Tuck, E. O. (1975). “On air flow over free surfaces of stationary water.” J. Australian Math. Soc. 19 (1), Jun., 66–80.
39.
Tuck, E. O., and Vanden‐Broeck, J. M. (1984). “A cusp‐like free‐surface flow due to a submerged source or sink.” J. Australian Math. Soc. B, 25 (4), Apr., 443–450.
40.
Vanden‐Broeck, J. M., Schwartz, L. W., and Tuck, E. O. (1978). “Divergent low‐Froude‐number series expansion of non‐linear free‐surface flow problems.” Proc. Roy. Soc. London. A, 361, 207–224.
41.
Wood, I. R. (1978). “Selective withdrawal from a two‐layer fluid.” J. Hydr. Div., ASCE, 104(12), Dec., 1647–1659.
42.
Wood, I. R., and Lai, K. K. (1972). “Selective withdrawal from a two‐layered fluid.” J. Hydr. Res. 10 (4), 475–496.
43.
Wunderlich, W. D., and Elder, R. A. (1969). “Selective withdrawal from density stratified reservoirs.” Water Resourc. Res., Advance Report 21, Tennessee Valley Authority, Norris, Tenn., Dec.
44.
Yih, C. S. (1965). Dynamics of non‐homogeneous fluids. Macmillan, New York, N.Y.
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Copyright © 1987 ASCE.
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Published online: Jun 1, 1987
Published in print: Jun 1987
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