A-jump in horizontal inverted semicircular open channels

Abstract

The hydraulic jump is a transitional state from supercritical to subcritical flow. The phenomenon of the hydraulic jump has been widely studied because of its frequent occurrence in nature and because of its uses in many practical applications. In the present study the momentum principle is used to derive an equation expressed the hydraulic jump (A-jump) occurred in a short horizontal reach of an inverted semicircular open channel. The derived equation indicates that the initial water depth and the tail water depth (conjugate depths) are functions of the critical water depth. Various elements of the hydraulic jump are expressed in dimensionless case. The procedure of dimensionless ratios described in the present paper can be used to determine various elements of A-jump in an inverted semicircular channel when either the discharge and the relative initial depth (or tail water depth) is known or the discharge and the relative dissipated energy are known.