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Characteristics of Hydraulic Shock Waves in an Inclined Chute Contraction - Experiments

Published online by Cambridge University Press:  05 May 2011

C.-D. Jan*
Affiliation:
Department of Hydraulic and Ocean Engineering, and Sustainable Environment Research Center, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
C.-J. Chang*
Affiliation:
Department of Hydraulic and Ocean Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
J.-S. Lai*
Affiliation:
Hydrotech Research Institute, Disaster Research Center, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
W.-D. Guo*
Affiliation:
Hydrotech Research Institute, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*Professor
**Ph.D. candidate
***Associate Research Fellow
****Postdoctoral Researcher
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Abstract

This paper presents the experimental results of the characteristics of hydraulic shock waves in an inclined chute contraction with consideration of the effects of sidewall deflection angle φ, bottom inclination angle θ and approach Froude number Fr0. Seventeen runs of laboratory experiments were conducted in the range of 27.45° ≤φ≤ 40.17°, 6.22°≤ θ ≤ 25.38° and 1.04 ≤ Fr0 ≤ 3.51. Based on the experimental data, three empirical dimensionless relations for the shock angle, maximum shockwave height, and corresponding position of maximum shockwave were obtained by regression analyses, respectively. These empirical relations would be useful for hydraulic engineers in designing chute contraction structures.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2009

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References

1.Reinauer, R. and Hager, W., “Supercritical Flow in Chute Contraction,” Journal of Hydraulic Engineering, ASCE, 124, pp. 5564 (1998).Google Scholar
2. Water Resources Planning Institute, “The Design of Yuanshantzu Flood Diversion Works of the Keelung River,” Technical report, Water Resources Agency, Ministry of Economic Affairs, Taiwan (2002) (in Chinese).Google Scholar
3.Ippen, A., and Dawson, J., “Design of Channel Contractions-High Velocity flow in Open Channels,” Trans., ASCE, 116, pp. 326346 (1951).Google Scholar
4.Ippen, A., “Mechanics of Supercritical Flow,” Tans., ASCE, 116, pp. 268295 (1951).Google Scholar
5.Ippen, A., and Harleman, D., “Verification of Theory for Oblique Standing Waves,” Trans., ASCE, 121, pp. 678694 (1956).Google Scholar
6.Hager, W., Schwalt, M., Jimenez, O. and Chaudhry, M., “Supercritical Flow Near an Abrupt Wall Deflection,” Journal of Hydraulic Research, IAHR, 32, 103118 (1994).Google Scholar
7.Reinauer, R. and Hager, W., “Shockwave Reduction by Chute Diffractor,” Experiments in Fluids, 21, pp. 209217 (1996).Google Scholar
8.Hager, W., “Supercritical Flow in Channel Junctions,” Journal of Hydraulic Engineering, ASCE, 115, pp. 595616 (1989).CrossRefGoogle Scholar
9.Jan, C. D., Chang, C. J., Lai, J. S. and Guo, W. D., “Characteristics of Hydraulic Shock Waves in an Inclined Chute Contraction - Numerical Simulations,” Journal of Mechanics, 25, pp. 7584 (2009).Google Scholar