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Relative Motion Analysis - Velocity

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.
When an external force is exerted, it sets the crank into a rotational movement. This, in turn, instigates the motion of the connecting rod, leading to what is referred to as a general plane motion. This process involves two key points - point A on the connecting rod...

Relative Motion Analysis using Rotating Axes

Relative Motion Analysis using Rotating Axes

Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it...

Relative Motion Analysis using Rotating Axes-Problem Solving

Relative Motion Analysis using Rotating Axes-Problem Solving

Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
Here, in order to determine the magnitude of velocity and acceleration for point...

Relative Motion Analysis using Rotating Axes - Acceleration

Relative Motion Analysis using Rotating Axes - Acceleration

Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame. The absolute velocity of point B is determined by adding the absolute velocity of point A, the relative velocity of point B in the rotating frame, and the effects caused by the angular velocity within the rotating frame.
Time differentiation is...

Relative Motion Analysis - Acceleration

Relative Motion Analysis - Acceleration

A slider-crank mechanism 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. The movement of the slider-crank is an example of general plane motion as the fluctuating angle between the crank and the connecting rod. Consider a segment AB where point A is at the end of the slider and point B is on the diametrically opposite end to point A, on a crack. The variance in...

Uniform Depth Channel Flow: Problem Solving

Uniform Depth Channel Flow: Problem Solving

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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Related Experiment Video

Updated: Mar 30, 2026

Long-term Video Tracking of Cohoused Aquatic Animals: A Case Study of the Daily Locomotor Activity of the Norway Lobster Nephrops norvegicus

Long-term Video Tracking of Cohoused Aquatic Animals: A Case Study of the Daily Locomotor Activity of the Norway Lobster Nephrops norvegicus

Published on: April 8, 2019

A method to analyze molecular tagging velocimetry data using the Hough transform.

R Sanchez-Gonzalez¹, B McManamen², R D W Bowersox²

¹Department of Chemistry, Texas A&M University, 3012 TAMU, College Station, Texas 77843, USA.

The Review of Scientific Instruments

|November 2, 2015

Summary

A new Hough transform method analyzes molecular tagging velocimetry (MTV) data for accurate flow measurements. This technique enhances precision in high-speed flows and enables direct vorticity quantification.

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Published on: April 8, 2019

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Automated Two-dimensional Spatiotemporal Analysis of Mobile Single-molecule FRET Probes

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Published on: November 23, 2021

Area of Science:

Fluid dynamics
Optical diagnostics
Image analysis

Background:

Molecular tagging velocimetry (MTV) is a powerful technique for measuring flow fields.
Accurate analysis of MTV data is crucial for understanding complex fluid phenomena.
Existing methods may struggle with spurious features and grid deformations in high-speed flows.

Purpose of the Study:

To develop and validate a novel method for analyzing MTV data using the Hough transform.
To assess the precision, accuracy, and capabilities of this new analysis technique.
To demonstrate its applicability in high-speed flow conditions and for vorticity measurements.

Main Methods:

A Hough transform-based line fitting approach was developed to parameterize grid lines in MTV data.
The method was tested using computational fluid dynamics (CFD) simulations of a Mach 4.6 flow.
Analysis included assessing performance based on window size and signal-to-noise ratio.

Main Results:

The Hough transform method accurately quantifies intersection displacements, comparable to cross-correlation techniques.
It effectively discriminates spurious features, reducing bias in the fitting process.
The method demonstrated feasibility for two-component velocity measurements from experimental images.

Conclusions:

The Hough transform method offers a robust and accurate approach for MTV data analysis.
It overcomes limitations of linearity assumptions in regions with significant grid deformation.
This technique holds potential for direct, spatially accurate vorticity measurements in turbulent flows.