Method to Locate the Toe of a Hydraulic Jump on Sloping Channels
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pISSN 1226-7988, eISSN 1976-3808 www.springer.com/12205
DOI 10.1007/s12205-020-0081-7
Hydraulic Engineering
Method to Locate the Toe of a Hydraulic Jump on Sloping Channels Guan-Yong Luo aSchool
a
, Hong Caoa, and Hong Pana
of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China
ARTICLE HISTORY
ABSTRACT
Received 14 January 2020 Revised 25 May 2020 Accepted 2 August 2020 Published Online 26 October 2020
The location of a hydraulic jump is a key parameter for analysing the slab stability of the stilling basin in a sluice. A simple method to locate the toe of a hydraulic jump in sloping channels is presented. The essential idea of this method applies the interacting relationship between the sequent depth and jump length to locate a point, satisfying them both simultaneously. The implementation details and the involved sequent depth and jump length equations of this method are discussed, and verification of the method is also presented. The predicted results match well with the published test data, even for a steep sloping channel up to 45o. The method’s application in the failure analysis of a sluice sloping connecting slab is also presented briefly. It is important for the analysis to account for the static hydraulic jump effect. The proposed method can yield a key parameter for such an analysis.
KEYWORDS Open channel flow Hydraulic jump Sloping channel Sluice Stilling basin
1. Introduction A failure occurred at 2008 at the Liu-xi River sluice in Guangzhou whose section is shown in Fig. 1. The sluice had just undergone a major rehabilitation for potential danger elimination and enforcement in 2007. The sloping connecting segments (SCS) were rebuilt and extended. In late June 2008, after a heavy rainfall, the water level kept rising, and the sluice gates were opened for flood discharge. During the flood retreat stage, the failure occurred: the 0.9 m thick concrete slabs in the second
sloping connecting segment (SCS2 in Fig. 1) were damaged. Some were overturned, some were translated and some were broken off, as shown in Fig. 2. During the flood discharge, a hydraulic jump occurred. Fig. 3 shows a snapshot of the jump location at the failure moment when the slab of SCS2 was initially lifted. A later investigation indicated that the static hydraulic jump effect plays an important role in the accident. Fig. 4 illustrates the static effect of a hydraulic jump on the stability of bottom slabs. When the sluice gate is opened for flood discharge, a hydraulic jump occurs on
Fig. 1. Section View of the Liu-Xi River Sluice (① gravelly coarse sand; ② sandy gravel; ③ coarse sand with fine gravel; and ④ sandstone residual soil. SCS1 is the first sloping connecting segment, and SCS2 is the second sloping connecting segment. hu: upstream design flood level (P = 2%), 26.23 m; hd: downstream design flood level (P = 2%), 25.06 m.)
Fig. 2. Scene after the Failure
CORRESPONDENCE Hong Pan China
[email protected]
ⓒ 2020 Korean Society of Civil Engineers
School of Civil Engin
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