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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 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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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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In pipe flow measurement, orifice, nozzle, and Venturi meters are commonly used to determine fluid flowrates by constricting the flow area, which increases fluid velocity and reduces pressure. This pressure difference, governed by Bernoulli's principle and adjusted for real-world conditions, is essential for calculating flowrate. Each meter type is suited to specific applications based on accuracy, efficiency, and compatibility with various flow conditions.
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Related Experiment Video

Updated: Aug 25, 2025

High-precision Electromagnetic Flowmeter with Empty Pipe Detection via Complex Programmable Logic Device-based Waveform Recognition
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Robust Flow Estimation Algorithm of Multichannel Ultrasonic Flowmeter Based on Random Sampling Least Squares.

Zhijia Xu1, Minghai Li1, Yuqiang Han1

  • 1Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang 621999, China.

Sensors (Basel, Switzerland)
|October 14, 2022
PubMed
Summary
This summary is machine-generated.

New algorithms improve multi-path ultrasonic flowmeter accuracy by using random-sampling consensus to overcome noise and errors. These robust methods enhance flow measurement reliability in challenging engineering applications.

Keywords:
least squaresmulti-path ultrasonic flowmeterrandom sampling consensus algorithm

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Area of Science:

  • Engineering
  • Fluid Dynamics
  • Signal Processing

Background:

  • Multi-path ultrasonic flowmeters are crucial for engineering applications.
  • Flow algorithms determine measurement accuracy, with least-squares estimation being common but susceptible to noise.
  • Measurement noise and flow-field interference degrade the robustness of classical least-squares methods.

Purpose of the Study:

  • To develop robust flow algorithms for multi-path ultrasonic flowmeters.
  • To enhance accuracy and reliability in the presence of noise and gross errors.
  • To adapt image-processing consensus algorithms for flow measurement.

Main Methods:

  • Proposed two novel flow algorithms based on least-squares and random-sampling consensus.
  • Applied algorithms to a multi-path ultrasonic flowmeter.
  • Utilized a double-bend flow field, a typical challenging engineering scenario, for testing.
  • Compared the performance against classical least-squares methods.

Main Results:

  • The proposed algorithms demonstrated superior accuracy compared to classical methods.
  • The algorithms effectively resisted interference noise and gross errors.
  • Robustness was significantly improved in the tested damaged flow field.
  • Random-sampling consensus proved effective in mitigating outlier effects.

Conclusions:

  • The novel flow algorithms offer enhanced accuracy and robustness for multi-path ultrasonic flowmeters.
  • These methods provide a more reliable solution for flow measurement in noisy or interfered environments.
  • The adaptation of random-sampling consensus algorithms shows promise for fluid dynamics applications.