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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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Open channel flow, where a fluid flows with a free surface exposed to the atmosphere, is primarily governed by gravitational and surface effects, distinguishing it from closed conduit or pipe flow. In open channels such as rivers, canals, and artificial channels, energy analysis provides valuable insights into flow behavior and the relationship between depth, velocity, and slope.Specific Energy and Flow DepthIn open channel flow, the specific energy, E, combines the gravitational potential...
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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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Correction: Flow partition in two-dimensional open channels with porous structures.

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Updated: Sep 13, 2025

Parameterizing V-notch Weir Equations for Flow Monitoring in a Drainage Control Structure
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Flow partition in two-dimensional open channels with porous structures.

Fikri M Radiyan1, Xiaofeng Liu2,3

  • 1Department of Civil and Environmental Engineering, Pennsylvania State University, University Park, PA, 16802, USA.

Scientific Reports
|August 2, 2025
PubMed
Summary

A new algebraic model predicts how river flow splits around porous structures, crucial for flood control and habitat. The model, validated by experiments and simulations, highlights channel opening and drag as key factors.

Keywords:
Flow partitionFlume experimentsMachine learningNumerical simulationPorous structures

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Area of Science:

  • Hydrology
  • Fluid Mechanics
  • Environmental Engineering

Background:

  • Porous structures in rivers significantly influence flow dynamics.
  • Understanding flow partition is vital for applications like flood control, sediment transport, and habitat suitability.

Purpose of the Study:

  • Develop a simple algebraic model to predict flow partition through and around porous riverine structures.
  • Validate the model's performance using experimental and numerical data.
  • Quantify the influence of key dimensionless parameters on flow partition.

Main Methods:

  • Developed a first-principles algebraic model based on conservation laws.
  • Utilized three dimensionless parameters: Froude number (Fr), channel opening fraction (β), and drag coefficient.
  • Validated the model against flume experiments and SRH-2D numerical simulations.
  • Employed machine learning to analyze parameter importance.

Main Results:

  • The algebraic model accurately predicts flow partition fraction (α).
  • Channel opening fraction (β) and drag coefficient were identified as the most influential parameters.
  • Froude number (Fr) showed a less significant impact on flow partition.
  • Model performance degrades at extreme parameter values.

Conclusions:

  • The developed algebraic model offers a simple yet effective tool for preliminary engineering assessments of flow partition.
  • The findings provide insights into the dominant factors controlling flow behavior in porous riverine environments.
  • Further research may be needed to refine predictions for edge-case scenarios.