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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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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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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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Stormwater detention basins are essential in managing runoff during heavy rainfall, particularly in urban areas where impervious surfaces increase the risk of flooding. Understanding the conservation of mass in these systems allows engineers to optimize basin performance, balancing inflow, outflow, and water storage.
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Image-based Lagrangian Particle Tracking in Bed-load Experiments
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Sediment load determines the shape of rivers.

Predrag Popović1, Olivier Devauchelle2, Anaïs Abramian3

  • 1Université de Paris, Institut de Physique du Globe de Paris, CNRS, F-75005 Paris, France; arpedjo@gmail.com.

Proceedings of the National Academy of Sciences of the United States of America
|December 7, 2021
PubMed
Summary

Rivers adjust their shape based on sediment load. A new model shows sediment transport intensity saturates, causing rivers to widen, not deepen, to carry more load.

Keywords:
fluid dynamicsriverssediment transportself-organizationthreshold

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Area of Science:

  • * Earth and Environmental Sciences
  • * Fluid Dynamics
  • * Geomorphology

Background:

  • * Understanding river evolution requires knowledge of how rivers adjust to sediment load.
  • * Current physically based models fail to capture river property dependence on sediment discharge.
  • * Laboratory rivers provide a simplified system to study fundamental river dynamics.

Purpose of the Study:

  • * To develop a physically based model for laminar laboratory rivers carrying sediment as bedload.
  • * To determine how fluid stress, gravity, and sediment diffusion influence river shape and sediment flux.
  • * To test Parker's hypothesis on the threshold of sediment motion in rivers.

Main Methods:

  • * Development of a model based on the balance of fluid stress, gravity, and cross-stream sediment diffusion.
  • * Reproduction of experimental results for laminar laboratory rivers without model tuning.
  • * Analysis of river shape and sediment flux profiles under varying sediment loads.

Main Results:

  • * The model accurately reproduces experimental data for river shape and sediment flux.
  • * Rivers operate near the threshold of sediment motion (within ~20%), governed by fluid-sediment interaction.
  • * Increased sediment discharge leads to saturation of sediment flux intensity, promoting river widening.
  • * River widening in high discharge regimes is facilitated by cross-stream momentum diffusion.
  • * In low transport regimes, sediment concentrates centrally without significant shape alteration.

Conclusions:

  • * A new physically based model explains river shape and sediment transport in laminar flows.
  • * River behavior is fundamentally linked to the threshold of sediment motion.
  • * River widening, rather than deepening, is the primary mechanism for increased sediment transport capacity.
  • * River aspect ratio may serve as a field proxy for sediment discharge in natural rivers.