Method to Locate the Toe of a Hydraulic Jump on Sloping Channels

作者：Luo, Guan-Yong; Cao, Hong; Pan, Hong^*

来源：KSCE Journal of Civil Engineering, 2021, 25(1): 124-139.

DOI：10.1007/s12205-020-0081-7

• Open channel flow
• Hydraulic jump
• Sloping channel
• Sluice
• Stilling basin

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 45 degrees. 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.