Modeling of Relative Length and Relative Energy Loss of Free Hydraulic Jump in Horizontal Prismatic Channel

Abstract

Abstract Hydraulic jump is a phenomenon caused by change in stream regime from supercritical to sub - critical flow with considerable energy dissipation and rise in depth of flow. Hydraulic jump primarily serves as an energy dissipater to dissipate excess energy of flowing water downstream of hydraulic structures, such as spillway, sluice gates etc. This excess energy, if left unchecked, will have adverse effect on the banks and the bed. A review of literature has shown that earlier researcher have studied the hydraulic jump characteristics in terms of approach Froude number (Fr1) only. In the present paper hydraulic jump in horizontal prismatic channel has been studied and analyzed considering the effect of both approach Froude number and incoming Reynolds number (Re1). Empirical models for relative length and relative energy loss of free hydraulic jump based on experimental data using Buckingham jc - theorem and regression analysis have been developed considering the effect of approach Froude number and incoming Reynolds number. The developed empirical computational model is validated using Bhutto (1987) data.