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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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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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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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The principle of conservation of mass is fundamental in fluid dynamics and is crucial for analyzing flow within fixed control volumes, such as pipes or ducts. This principle states that the total mass within a control volume remains constant unless altered by the inflow or outflow of mass through the control surfaces. This results in a vital relationship for steady, incompressible flow where the mass entering a system equals the mass leaving it.
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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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Updated: Oct 2, 2025

Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics
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Weak clogging in constricted channel flow.

Pascal Viot1, Gregory Page1, Chloé Barré1

  • 1Laboratoire de Physique Théorique de la Matière Condensée, Sorbonne Université, CNRS UMR 7600, 4, place Jussieu, 75005 Paris, France.

Physical Review. E
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Summary
This summary is machine-generated.

Particle flow through microchannels slows significantly at constrictions, with behavior depending on width and temperature. Arch formation causes intermittent flow, and particle orientation changes with multiple constrictions.

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Computational Physics

Background:

  • Understanding particle flow in confined geometries is crucial for microfluidic devices.
  • Particle behavior at constrictions influences overall system dynamics and efficiency.

Purpose of the Study:

  • To investigate the flow dynamics of soft, frictionless disks in a 2D microchannel with single and double constrictions.
  • To analyze particle density, velocity, and orientation changes under varying constriction geometries and temperatures.

Main Methods:

  • Brownian dynamics simulations were employed to model the system.
  • Analysis focused on particle density, mean velocity, interparticle exit times, and particle pair orientation.

Main Results:

  • Particle density increases before constrictions and depletes after. Mean velocity decreases significantly for constriction width-to-diameter ratios below 3, reaching zero below 1.
  • Intermittent flow and non-monotonic velocity changes were observed at low temperatures due to particle arch formation.
  • Single constriction flow sets an upper bound for double constriction flow; particle orientation shifts from perpendicular to parallel with two constrictions.

Conclusions:

  • Microchannel constrictions drastically alter particle flow, leading to density changes and velocity reduction.
  • Particle arching and orientation dynamics are key factors in intermittent flow and multi-constriction systems.
  • Simulation results provide insights into optimizing microfluidic designs for controlled particle transport.