Prediction Method for Local Scour by Warmed Cooling‐Water Jets
Publication: Journal of Hydraulic Engineering
Volume 118, Issue 8
Abstract
This paper describes an investigation on a numerical prediction method to estimate local scour due to the cooling‐water jets discharged from power stations. The method presented simulates the unsteady convection and diffusion of the warmed jets with a two‐equation turbulence model within the calculation area being deformed by the local scour. The profile of the scoured sand bed is predicted by computing the amount of both the bed load and the suspended load in parallel with the simulation of the flow itself. The prediction method was applied to three kinds of experiments: a three‐dimensional warm‐jet experiment above a fixed bed, and two local‐scour experiments carried out under two‐ and three‐dimensional flows. The validity of the numerical prediction method was reasonably confirmed by these comparisons of results.
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References
1.
Ashida, K., Takahashi, T., and Mizuyama, T. (1978). “Study on bed load equations for mountain streams.” J. Japan Soc. Erosion Control Engrg., 107, 9–17.
2.
Bagnold, R. A. (1957). “The flow of cohesionless grains in fluids.” Philos. Trans. Royal Soc. London, 249.
3.
Doddiah, D., Albertson, M. L., and Thomas, R. (1953). “Scour from jets.” Proc. Minnesota Int. Hydr. Conv., IAHR, 161–169.
4.
Douglas, J. (1962). “Alternating direction methods for three space variables.” Numerische Mathematik, 4, 41–63.
5.
DuBoys, P. (1879). Ann. ponts et chaussees. Ser. 5, 18, 141–195.
6.
Duckstein, L., Iwagaki, Y., and Albertson, M. L. (1960). “Analytical study of the mechanics of scour for two dimensional jet.” Contract No. CPR11 5504, U.S. Bureau of Public Roads, Washington, D.C.
7.
Einstein, H. A. (1950). “The bed load function for sediment transportation in open channel flow.” Tech. Bull. No. 1026, U.S. Dept. of Agric, Soil Conserv. Serv., Washington, D.C.
8.
Fletcher, R. (1975). Lecture note mathematics. Vol. 506, Springer, New York, N.Y., 73–89.
9.
Hirt, C. W., and Shannon, J. P. (1968). “Free‐surface stress conditions for incompressible‐flow calculation.” J. Comp. Physics, 2, 403–411.
10.
Hirt, C. W., and Nichols, B. D. (1981). “Volume of fluid (VOF) method for the dynamics of free boundaries.” J. Comp. Physics, 39, 201–225.
11.
Iwagaki, Y., and Tsuchiya, Y. (1956). “Fundamental study on critical tractive force.” Trans. Japan Soc. Civ. Engrg., 41, 1–21.
12.
Iwagaki, Y., Smith, G. L., and Albertson, M. L. (1958). “Analytical study of the mechanics of scour for three‐dimensional jet.” Colorado State Univ. Research Foundation, Presented at ASCE Hydraulic Conference.
13.
Lane, E. W., and Kalinske, A. A. (1941). “Engineering calculation of suspended sediment.” Trans. Amer. Geophys. Union, Vol. 22, 603–607.
14.
Launder, B. E. (1975). “On the effects of a gravitational field on the turbulent transport of heat and momentum.” J. Fluid Mech., 67, 197–202.
15.
Laursen, E. M. (1952). “Observations on the nature of scour.” Proc. 5th Hydr. Conf., State Univ. of Iowa, Bull. 34, 179–197.
16.
Marion, R. C. (1966). “Similarity laws for localized scour.” J. Hydr. Div., ASCE, 92(3), 13–36.
17.
Meyer‐Peter, E., and Muller, R. (1948). “Formulas for bed‐load transportation.” Proc. of the 2nd Congress of the IAHR.
18.
Roache, P. J. (1976). Computational fluid dynamics. Hermosa Publishers Inc.
19.
Rodi, W. (1980). “Turbulence models and their application in hydraulics.” IAHR section on fundamentals of division II, experimental and mathematical fluid dynamics, IAHR, Delft, Netherlands.
20.
Rouse, H. (1940). “Criteria for similarity in the transportation of sediment.” Proc. Hydr. Conf., Univ. of Iowa, Bull.20, 33–49.
21.
Rubey, W. W. (1933). “Settling velocities of gravel, sand and silt particles.” Am. J. Sci., 25, 325–338.
22.
Saito, T. (1979). “Studies on the scour from submerged plane jet.” Proc. Japan Soc. Civ. Engrg., 282, 53–63(in Japanese).
23.
Shimizu, Y., Yamaguchi, H., and Itakura, T. (1990). “Three‐dimensional computation of flow and bed deformation.” J. Hydr. Engrg., ASCE, 116 (a), 1090–1108.
24.
Shinohara, K., and Tsubaki, T. (1959). “On the characteristic of sand waves formed upon the beds of the open channel and rivers.” Report Res. Inst. Appl. Mech., Kyushu Univ., VII(25), 15–45.
25.
Struiksma, N., Olesen, K. W., Flokstra, C., and De Vriend, H. J. (1985). “Bed deformation in curved alluvial channels.” J. Hydr. Res., 23(1), 57–79.
26.
Ushijima, S., and Moriya, S. (1988). “Calculations of thermal stratification phenomena in a cylindrical vessel.” Proc. 3rd Int. Symp. Refined Flow Modelling and Turbulence Measurements, 61–68.
27.
Wada, A., and Kadoyu, M. (1978). “Proposal of general purpose computation chart for diffusion prediction of discharged warm water.” Report E375005, Central Research Institute of Electric Power Industry.
28.
Wada, A., and Araki, H. (1986). “Development of prediction method for thermal diffusion in the sea near the cooling water outlet.” Report E385004, Central Research Institute of Electric Power Industry.
29.
White, S. J. (1970). “Plane bed thresholds of fine grained sediments.” Nature, 228, Oct.
30.
Young, D. (1954). “Iterative methods for solving partial difference equations of elliptic type.” Trans. Am. Math. Soc., 76, 92–111.
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Published In
Journal of Hydraulic Engineering
Volume 118 • Issue 8 • August 1992
Pages: 1164 - 1183
Copyright
Copyright © 1992 ASCE.
History
Published online: Aug 1, 1992
Published in print: Aug 1992
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