The Proposed Design and Derivation of Mathematical Procedure for Modeling of Hydraulic Jump in a Broad Crested Weir in an Open Channel Flow

Water driven bounces are among the most perplexing marvels that happen in nature under an assortment of conditions and have stood out for quite a long time. The present paper deals with the development of the mathematical and proposed design of mathematical derivations for open flow channel, the laboratory aspect is not presented in this paper. Hydraulic jumps constitute a common phenomenon in the hydraulics of open channels that increases the shear stress on streambeds and promoting their erosion, is a limited wonder that happens in prismatic open channels. To determine the required channel protection, to predict the height, length, location of the occurrence of potential hydraulic jump has remained a subject of much research in literature, this has posed several challenges to many practicing engineers. Yet there are many disparities between experimental and predicted results. Perhaps the model results have not been very satisfactory because of the negligence of some important factors such as bed friction effects, shear, and other factors in the modeling efforts. Location is required to enable the design of hydraulic structures with an adequate depth to avoid the spilling over of water in the channel. The length of a hydraulic jump is typically obtained from empirical functions of the jump height, based solely upon experimentation. This study seeks to help develop mathematical equations and procedures for the proposed design and safe operation of open channel flow as shown in Figures 7 and 8. Determination of the jump location in a channel requires the jump equation along with the gradually-varied flow calculations, in this paper, the conditions governing the formation, as well as the hydrodynamic characteristics of the hydraulic jumps, were considered for a wide range of flows and different boundary conditions.