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Related Concept Videos

Weir: Problem Solving01:26

Weir: Problem Solving

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Water flow in open channels is often measured using hydraulic structures such as weirs, which allow precise calculation of discharge. In a rectangular channel, flow rates are measured using three types of weirs: rectangular sharp-crested, triangular sharp-crested, and broad-crested. The weir head is set at a fixed height above the channel bottom, simplifying calculations and enabling the relationship between depth and flow rate to be analyzed.For the rectangular sharp-crested weir, the flow...
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Uniform Depth Channel Flow: Problem Solving01:18

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To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
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Rapidly Varying Flow01:24

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Rapidly varying flow (RVF) in open channels is characterized by abrupt changes in flow depth over a short distance, with the rate of depth change relative to distance often approaching unity. These flows are inherently complex due to their transient and multi-dimensional nature, making exact analysis difficult. However, approximate solutions using simplified models provide valuable insights into their behavior.Key Features of Rapidly Varying FlowRVF is commonly observed in scenarios involving...
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Design Example: Design of an Irrigation Channel01:27

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Trapezoidal channels are widely used in irrigation systems due to their cost-effectiveness and efficiency in conveying water. Trapezoidal channels feature a flat bottom and sloping sides, making them stable and easier to construct compared to other shapes. The bottom width and side slope ratio are determined based on the required flow capacity and site conditions. The side slope is kept gentle for unlined channels to prevent soil erosion.Hydraulic parameters in channel design include the flow...
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Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
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Hydraulic Jump: Problem Solving01:16

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To analyze a hydraulic jump in a rectangular channel with a flow speed of 6 meters per second, follow these steps:Calculate Effective Upstream Velocity:When the downstream gate closes, a hydraulic jump forms, traveling upstream at 2 meters per second. This wave speed combines with the initial channel flow velocity, creating an effective upstream velocity.Identify Flow Velocities Before and After the Hydraulic Jump:Upstream of the hydraulic jump, the effective flow velocity includes both the...
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Related Experiment Video

Updated: Apr 9, 2026

Parameterizing V-notch Weir Equations for Flow Monitoring in a Drainage Control Structure
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Quantifying channel width thresholds for safe inland navigation under excessive cross-flow conditions.

Xiang Wang1,2, Si-Chen Tong3,4, Ying Zhang5

  • 1College of River and Ocean Engineering, Chongqing Jiaotong University, Chongqing, 400074, China.

Scientific Reports
|April 7, 2026
PubMed
Summary

This study introduces the acceptable maximum safety cross-flow length (AMSCL) to quantify cross-flow effects on ship safety in inland waterways. Findings provide criteria for channel widening, enhancing navigation safety and optimizing waterway design.

Keywords:
Channel width designExcessive cross-flowInland waterwaysMMG modelShip manoeuvring

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Area of Science:

  • Naval Architecture and Marine Engineering
  • Fluid Dynamics
  • Waterway Transportation Engineering

Background:

  • Current inland waterway standards inadequately address the combined impact of cross-flow velocity and length on ship safety.
  • Quantifying the cumulative influence of cross-flow on ship drift and channel safety is crucial for navigation risk assessment.

Purpose of the Study:

  • To develop a flow-field-driven manoeuvring assessment framework integrating flow models and ship manoeuvring models.
  • To introduce and define the acceptable maximum safety cross-flow length (AMSCL) for inland cargo ships.
  • To establish chart-based criteria for determining necessary channel widening based on cross-flow parameters.

Main Methods:

  • Development of a framework combining a 2D nonuniform flow model with a 3-DOF MMG manoeuvring model.
  • Numerical simulations of inland cargo ships in China's Class I-V waterways under various cross-flow conditions.
  • Definition and calculation of AMSCL across different waterway classes and cross-flow velocities.

Main Results:

  • AMSCL values vary from 7.78 to 54.98 m for cross-flow velocities of 0.35–0.60 m/s in Class I-V waterways.
  • Demonstrated strong combined effects of cross-flow velocity and length on ship safety margins.
  • Developed chart-based criteria showing a linear relationship between required channel widening and cross-flow velocity/length.

Conclusions:

  • The proposed framework and AMSCL provide a quantitative basis for assessing navigation safety in cross-flow conditions.
  • The developed widening scheme effectively improves heading stability and reduces navigation risks, as confirmed by a case study.
  • This research offers a valuable tool for optimizing inland waterway channel design and enhancing navigation safety.