TECHNICAL PAPERS
Jul 1, 1988

Turbulent Boundary Layers in Vertical Curves

Publication: Journal of Hydraulic Engineering
Volume 114, Issue 7

Abstract

Cavitation damage is often observed near the downstream end of the flip buckets of many high‐head outlet works. To analyze and mitigate the problem, many research efforts now focus on the development of the boundary layer along the bucket surface. In this paper, the centrifugal‐force effect on flow characteristics over a bucket is discussed. The boundary‐layer momentum and energy integral equations are derived by incorporating the effect of the bucket curvature. The surface shear stresses are calculated based on the theory of wall layers. The turbulent boundary‐layer thickness and the exponential velocity distribution are obtained by applying the finite‐difference method. It was found that higher velocity occurs near the bucket surface throughout its entire length, and the skin‐friction coefficient increases significantly in the downstream half of the bucket. The cavitation inception number approaches its maximum value at the end of the bucket, and, therefore, cavitation damage is most likely to occur near the downstream end of the flip bucket of high‐head outlet works.

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References

1.
Arndt, R. E. A., et al. (1979). “Influence of surface irregularities on cavitation performance.” J. Ship Res., 23(3), 157–170.
2.
Cebeci, T. (1977). Momentum transfer in boundary layer. McGraw‐Hill Book Co., New York,.N.Y., 358–359.
3.
Holl, J. W., et al. (1986). “The influence of pressure gradient on desinent cavitation from isolated surface protrusions.” J. Fluid Engrg., ASME, 108(2), 254–260.
4.
Jiang, S. H., (1984). “Calculations of developing thickness and velocity distribution of boundary layer on spillway.” J. Nanjing Hydr. Res. Inst., Nanjing, China, 20(2) 31–42 (in Chinese).
5.
Liao, Y. C. (1981). “Boundary layer characteristics on the spillway bucket and its influence on cavitation,” thesis presented to the East China Technical University of Water Resources, at Nanjing China, in partial fulfillment of the requirement for the degree of Master of Engineering (in Chinese).
6.
Ramaprian, B. R., and Shivaprasad, B. G. (1977). “Mean flow measurements in boundary layer along mildly curved surfaces.” AIAA J., 15(2), 189–196.
7.
Ramaprian, B. R., and Shivaprasad, B. G. (1978). “The structure of turbulent boundary layer along mildly curved surface.” J. Fluid Mech., 85(2), 273–303.
8.
Shivaprasad, B. G., and Ramaprian, B. R. (1978). “Turbulent measurements in boundary layer along mildly curved surfaces.” J. Fluid Engrg., ASME, 100(1), 37–45.
9.
So, R. M. C., and Mellor, G. L. (1972). “An experimental investigation of turbulent boundary layer along curved surface.” NACA CR 1940, Nat. Aeronautics and Space Administration, Washington, D.C.
10.
So, R. M. C., and Mellor, G. L. (1975). “Experiments on turbulent boundary layer on a concave wall.” Aeronaut. Q., 26(1), 25–40.
11.
Tao, X. F., and Dong, Z. N. (1984). “Experimental investigation of boundary layer flow on a smooth surface of the bucket.” J. Hydr. Engrg., Beijing, China, 6(25–30), (in Chinese).
12.
Zhang, L. F., and Xu, J. (1984). “Hydraulic and cavitating characteristics of the invert in two dimensional open channel flow.” J. Hydr. Engrg., Beijing, China, 6(36–41), (in Chinese).
13.
Zhou, M. D. (1982). “Investigation of small Pitot tube.” Research Report‐8815, Nanjing Hydraulic Research Institute, Nanjing, China (in Chinese).

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 114Issue 7July 1988
Pages: 783 - 797

History

Published online: Jul 1, 1988
Published in print: Jul 1988

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Authors

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Shuhai Jiang
Hydr. Res. Engr., Dept. of Hydr. Engrg., Nanjing Hydraulic Res. Inst., 223 Guangzhou Road, Nanjing, China

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