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Related Concept Videos

Relative Motion Analysis - Velocity01:24

Relative Motion Analysis - Velocity

A stroke engine has a slider-crank mechanism that converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three main parts: the crank, the connecting rod, and the slider.
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When an object's velocity changes over time, the total distance traveled can be determined by summing small displacement intervals over short increments. This approach approximates the true distance through numerical summation and the use of integral calculus. An estimate of the total displacement can be obtained by measuring velocity at regular intervals and multiplying each value by the corresponding time step.If a runner accelerates over the first three seconds of a race, speed measurements...
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To calculate other physical quantities in kinematics, the time variable must be introduced. The time variable not only allows us to state where an object is (its position) during its motion, but also how fast it’s moving. The speed at which an object is moving is given by the rate at which the position changes with time. For each position, a particular time is assigned. If the details of the motion at each instant are not important, the rate is usually expressed as the average velocity v. This...

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Related Experiment Video

Updated: May 13, 2026

Echo Particle Image Velocimetry
16:31

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Published on: December 27, 2012

Particle velocity estimation based on a two-microphone array and Kalman filter.

Mingsian R Bai1, Shen-Wei Juan, Ching-Cheng Chen

  • 1Department of Power Mechanical Engineering, National Tsing-Hua University, 101, Section 2, Kuang-Fu Road, Hsinchu 30013, Taiwan. msbai@pme.nthu.edu.tw

The Journal of the Acoustical Society of America
|March 8, 2013
PubMed
Summary
This summary is machine-generated.

A novel two-microphone technique, the u-sensor, measures particle velocity robustly. It offers performance comparable to advanced sensors without requiring new fabrication methods.

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Area of Science:

  • Acoustics
  • Sensor Technology
  • Signal Processing

Background:

  • Traditional particle velocity measurement using finite difference (FD) methods with pressure microphones is susceptible to sensor noise and mismatch.
  • Microflown sensors, based on micro-electro-mechanical systems (MEMS) technology, offer improved robustness over FD methods.
  • There is a need for robust, cost-effective particle velocity measurement techniques that do not rely on specialized fabrication.

Purpose of the Study:

  • To develop and validate a novel two-microphone approach, termed the u-sensor, for robust particle velocity measurement.
  • To demonstrate that the u-sensor can achieve high performance using ordinary microphones and robust adaptive filtering techniques.
  • To compare the performance of the u-sensor against traditional FD methods and the Microflown sensor.

Main Methods:

  • The u-sensor method employs robust adaptive filtering, incorporating plane and spherical wave models.
  • A Kalman filter is formulated, explicitly accounting for process and measurement noise.
  • The technique utilizes two standard pressure microphones, avoiding the need for novel sensor fabrication.

Main Results:

  • Numerical and experimental investigations validated the proposed u-sensor technique.
  • The u-sensor demonstrated superior performance compared to the conventional finite difference (FD) method.
  • The performance of the u-sensor was found to be comparable to that of the Microflown sensor.

Conclusions:

  • The u-sensor provides a robust and effective method for particle velocity measurement using readily available microphones.
  • This approach overcomes the limitations of traditional FD methods concerning noise and sensor mismatch.
  • The u-sensor presents a viable alternative to existing advanced sensors, offering comparable performance without specialized manufacturing requirements.