Experimental Analysis and Numerical Simulation of Hydraulic Jump

• Published in: IOP conference series. Earth and environmental science Vol. 505; no. 1; pp. 12024 - 12032
• Main Authors: Nandi, B, Das, S, Mazumdar, A
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.07.2020
• Subjects: Boundary conditions; Computational fluid dynamics; Computer applications; Empirical equations; Equilibrium flow; Experiments; Flood control; Fluid dynamics; Froude number; Hydraulic jump; Hydraulics; Hydrodynamics; Mathematical models; Numerical models; Oscillations; Regression analysis; Simulation
• ISSN: 1755-1307; 1755-1315
• DOI: 10.1088/1755-1315/505/1/012024

Saint Venant equations are numerically solved to simulate the formation of hydraulic jump in a rectangular channel having a small bed slope. The MacCormack's scheme is used for the solution by applying specified initial and boundary conditions until a steady state flow is reached. The location of the hydraulic jump is determined as a part of these computations. The artificial viscosity technique should be used in the computations to dampen the superior oscillations near the steep gradient of the simulated hydraulic jump. Twenty laboratory experiments were carried out for verification of the numerical model. The upstream Froude number for these experiments ranged from 2.17 to 7.0 in three different bed slopes 0, 0.02174, 0.0475. The simulated hydraulic jump profiles using the MacCormack's scheme shows a good agreement with the experimental data. An empirical equation was developed to determine the location of hydraulic jump using regression analysis based on simulated data. Software based on Computational Fluid Dynamics (CFD) was also used to simulate two of these experiments. The results obtained from CFD analysis matched fairly with the experimental results.