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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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Gradually varying flow (GVF) in open channels describes situations where water depth changes slowly along the channel due to factors like non-uniform bed slope, channel shape variations, or obstructions. This flow type occurs when the depth adjusts gradually to balance gravitational forces, shear forces, and energy requirements, resulting in a low rate of depth change.Characteristics of Gradually Varying FlowGVF is commonly observed in natural streams, rivers, and canals, where flow depth...
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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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An edge-based interface-tracking method for multiphase flows.

Leonardo Chirco1, Stéphane Zaleski1,2

  • 1Sorbonne Université and CNRS Institut Jean Le Rond d'Alembert Paris France.

International Journal for Numerical Methods in Fluids
|April 17, 2023
PubMed
Summary
This summary is machine-generated.

We introduce a new edge-based interface-tracking (EBIT) method for multiphase flows. This flexible approach uses marker points on grid edges, enabling efficient parallel computation for interface advection.

Keywords:
front‐trackinginterface trackinglevel‐settwo‐phase flows

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Area of Science:

  • Computational fluid dynamics
  • Multiphase flow modeling

Background:

  • Accurate interface tracking is crucial in multiphase flow simulations.
  • Existing methods can face limitations in flexibility and parallelization.

Purpose of the Study:

  • To present a novel edge-based interface-tracking (EBIT) method.
  • To demonstrate its suitability for parallel computation and flexible spatial discretization.

Main Methods:

  • Developed a simple EBIT method using 2D Cartesian grids.
  • Employed marker points on grid edges for interface position tracking.
  • Utilized a linear interface representation.

Main Results:

  • The proposed EBIT method offers flexibility in spatial discretization.
  • The edge-based tracking is suitable for parallel computing architectures.
  • A simple 2D Cartesian grid implementation is presented.

Conclusions:

  • EBIT methods provide a viable and adaptable approach for interface advection in multiphase flows.
  • The method's design facilitates efficient parallel implementation.