Numerical Simulation and Profile Computation of Hydraulic Jump under the Sluice Gate

Hydraulic jump formation takes place during the transition of super-critical flow to sub-critical flow. The objective of this paper is to trace the water surface profile of hydraulic jump formed under the sluice gate. It is done by assuming water surface as implicit function (depend on both x and y) profile and taking four readings of water surface elevation at various intervals. These readings are used to solve the equations to get unknown variables that result in the formation of an equation. The resultant equation is used to get a differential equation in both x and y. The differential equation is solved by using numerical corrector and predictor method. The depth of water surface profile is predicted and this value is further used to get the correct value. This value is adjusted until both predicted and corrected values give the same result. The values obtained depend on the trends followed by previous readings. The current obtained value is further used to get the next value. This procedure is repeated till we achieve the water surface profile up to the desired distance from sluice gate. The obtained data is represented on the graph and the variation in elevation is analyzed at different Froude numbers range. The computation of profile gives fruitful results at the lower range of Froude numbers, as the energy loss is very high at higher range of Froude number, and turbulence factor would also considered. The obtained readings compared with experimental readings, and the readings are acceptable within certain error limits.