Abstract

A number of studies have considered the effects of weir design variations on the free- and submerged-flow characteristics of trapezoidal broad-crested weirs. It appears that the hydraulics of short-crested weir flows have received little attention; thus, the current knowledge is incomplete. By systematically analyzing a large set of experimental data, the present study aims to fill in this knowledge gap and to provide a complete description of the discharge characteristics of trapezoidal-shaped weirs, including the salient features of two-dimensional weir flows. The analysis of the axial free-surface profiles for short-crested weir flows attested that the location of the nearest station for the correct measurement of the overflow depth under free-flow conditions is at η0 from the heel of the weir, where η0 is the upstream free-surface elevation. Additionally, an empirical equation for the free-flow discharge coefficient is proposed as being valid for a trapezoidal-shaped weir with varying upstream- and downstream-face slopes. The results of this investigation reveal that the streamline curvature and the slopes of the upstream and downstream weir faces significantly affect the streamwise flow patterns and, hence, the free-flow discharge.

Highlights

  • Theoretical and experimental investigations of free-surface flows over trapezoidal-shaped weirs have numerous applications, especially in the analyses of flood flows over common types of civil infrastructures such as highway embankments and coastal levees

  • Work is ongoing to study the hydraulic characteristics of flows over these weirs under free- and submerged-flow conditions, aiming to accurately determine their discharge capacity by considering the variations of the weir design

  • The present study aims at filling this knowledge gap and providing a complete description of the discharge characteristics of trapezoidal-shaped weirs, including the salient features of the 2D weir flows

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Summary

Introduction

Theoretical and experimental investigations of free-surface flows over trapezoidal-shaped weirs have numerous applications, especially in the analyses of flood flows over common types of civil infrastructures such as highway embankments and coastal levees. The equation for the free-flow discharge coefficient will be developed by accounting for the effects of the streamline curvature and slopes of the upstream and downstream weir faces Such a general-purpose equation can provide a practical solution to the problem of the discharge capacity of a broad-crested or a short-crested type of trapezoidal-shaped. Fathi-Moghaddam et al [22] numerically studied transcritical flow over a broad-crested type of trapezoidal gabion weirs They considered weirs with various upstream- and downstream-face slopes and examined the hydraulic efficiency of these weirs. Such a general-purpose equation can provide a practical solution to the problem of the discharge capacity of a broad-crested or a short-crested type of trapezoidal-shaped weir.

Method
Free-Surface Profiles
Minimum Bed Pressure
Variation of the normalized pressure
In the case of a of long relationζwith coefficient of determination
Dynamic
Streamwise
Free-Flow Coefficient of Discharge
Effect of Weir Face Slopes

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