Hydraulic Jump in a Rough Sudden Symmetric Expansion Channel

Document Type : Research Article

Authors

1 Professor, Department of Civil Engineering, Faculty of Engineering, University of Maragheh, Maragheh, East Azerbaijan, Iran.

2 Assistant Professor, Department of Civil Engineering, Faculty of Engineering, University of Maragheh, Maragheh, Iran.

3 Department of Civil Engineering, Faculty of Engineering, University of Maragheh, Maragheh, East Azerbaijan, Iran

4 Dept. Civil Engineering, Izmir Institute of Technology, Urla, ─░zmir, 35430, Turkey

Abstract

Control of the high velocity and kinetic energy of the flow downstream of the hydraulic structures to prevent the erosion of the channel bed is one of the most important concerns of hydraulic engineers. For this reason, energy dissipation structures are used. The sudden symmetrical expanding channel is an energy-dissipation structure that requires minimal tailwater depth for the formation of hydraulic jumps. Rough beds are important for reducing stilling basin dimensions and the effect of the roughness elements impact the hydraulic jump. The effect of bat-shaped elements in a sudden expansion channel has been investigated here. The experiments were performed in a rectangular channel with symmetric expansion ratios of 0.67, 0.5, and 0.33, and a Froude number that ranged from 4.6 to 11.3. The results showed that the shear stress in a rough bed of a sudden expansion channel was more than 12 times greater than the shear stress in a smooth prismatic channel. Also, the secondary depth and S-jump length in a rough bed compared to the smooth bed decreased by 22% and 9-13%, respectively. Finally, several equations were developed to predict the hydraulic jump on the rough bed. The correlations had R2 values of more than 0.988 and NRMSE values of less than 2.5%. These highly accurate equations are easy and simple to apply for the design of enlarged stilling basins.

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