Sequent Depth Ratio of a Sill-Controlled B-jump on Sloping Beds

Abstract

Abstract In this paper, the sequent depth ratio of a sill-controlled B-jump on sloping beds was investigated. Experiments were carried out to characterize the effect of the different design parameters such as the sill height, sill position relative to the jump toe, and chute slope on the sequent depth ratio under various up - and downstream hydraulic conditions. By applying the momentum conservation principle, a generalized relationship to estimate the sequent depth ratio was deduced. This analysis demonstrated that the sequent depth ratio depends on the upstream Froude number, the chute slope, the jump toe location on the chute, the sill height and its position, and the tail-water depth. Furthermore, the energy dissipation efficiency of a sill-controlled B-jump resulted greater than that for a free B-jump. Based on results of this investigation, the sill-controlled B-jump can be used as a novel alternative to the classical hydraulic jump to reduce cost where the length of the stilling basin must be shortened due to site restrictions and arrangement.