Hydraulic jumps at positive and negative steps on sloping floors

Abstract

A prediction model for computing the sequent depth ratio of the hydraulic jumps formed in sloping rectangular channel with positive or negative step has been developed. It is based on the application of the one dimensional momentum and continuity equations. The presented model contains two defined parameters. One of them to account for the effect of the channel slope and the second for the presence of the positive or negative step. The model can predict the solely and the combined effects of the bed slope and the step on the sequent depth ratio of the hydraulic jumps. Large series of experimental data have been used to calibrate and verify the developed model for both sloping as well as horizontal floors. The predictions agreed reasonably well with theoretical and experimental results of other authors.