# Numerical Modelling of Free Overfall

Yakun Guo

Research output: Contribution to journalArticle

15 Citations (Scopus)

### Abstract

Free overfall is treated by using two-dimensional steady potential flow theory. Based on the theory of the boundary value problem of analytical function and the substitution of variables we derive the boundary integral equations in the physical plane for solving the free overfall in a rectangular channel. A numerical iterative method has been developed to solve these boundary integral equations. The free water surface profiles, pressure distribution, and the end-depth ratio are calculated for a wide range of bed slopes, bed roughness, and incoming upstream Froude number. The computed results agree well with the available experimental data.

Original language English 134-138 4 Journal of Hydraulic Engineering 131 2 https://doi.org/10.1061/(ASCE)0733-9429(2005)131:2(134) Published - Feb 2005

### Keywords

• numerical models
• potential flow
• boundaries
• surface flow
• flow measurement
• Froude number
• INITIALLY UNKNOWN DISCHARGE
• RECTANGULAR FREE OVERFALL
• FLOW
• SLUICE

### Cite this

Numerical Modelling of Free Overfall. / Guo, Yakun.

In: Journal of Hydraulic Engineering, Vol. 131, No. 2, 02.2005, p. 134-138.

Research output: Contribution to journalArticle

Guo, Yakun. / Numerical Modelling of Free Overfall. In: Journal of Hydraulic Engineering. 2005 ; Vol. 131, No. 2. pp. 134-138.
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AB - Free overfall is treated by using two-dimensional steady potential flow theory. Based on the theory of the boundary value problem of analytical function and the substitution of variables we derive the boundary integral equations in the physical plane for solving the free overfall in a rectangular channel. A numerical iterative method has been developed to solve these boundary integral equations. The free water surface profiles, pressure distribution, and the end-depth ratio are calculated for a wide range of bed slopes, bed roughness, and incoming upstream Froude number. The computed results agree well with the available experimental data.

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