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Related Concept Videos

Velocity and Acceleration in Steady and Unsteady Flow01:11

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In fluid mechanics, velocity and acceleration are key concepts for analyzing particle motion in both steady and unsteady flow. Consider a fluid particle moving along a pathline, where its velocity depends on its position and time. The particle's acceleration is obtained by differentiating the velocity with respect to time.
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To calculate the other physical quantities in kinematics, we must introduce the time variable. The time variable allows us not only to state the position of the object during its motion, but also how fast it is moving. The speed at which an object is moving is given by the rate at which the position changes with time. For each position xi, we assign a particular time ti. If the details of the motion at each instant are not important, the rate is usually expressed as the average velocity. This...
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Instantaneous velocity is the quantity that measures how fast an object is moving along its path. In other words, the instantaneous velocity of an object is the limit of the average velocity as the elapsed time approaches zero, or the derivative of displacement with respect to time. Like average velocity, the instantaneous velocity is a vector with the dimensions of length per unit time. Instantaneous velocity can have both positive and negative values. The instantaneous velocity can be...
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The escape velocity of an object is defined as the minimum initial velocity that it requires to escape the surface of another object to which it is gravitationally bound and never to return. For example, what would be the minimum velocity at which a satellite should be launched from the Earth's surface such that it just escapes the Earth's gravitational field?
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In steady, incompressible flow through a long, straight pipe with a uniform cross-section, the flow in the central region (far from the pipe walls) is irrotational. This irrotational nature means that fluid particles do not rotate around their axes, and a scalar function called the velocity potential, represented by ϕ, can be used to describe their movement. In irrotational flows, the velocity field V is defined as the gradient of the velocity potential:
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Related Experiment Video

Updated: Feb 7, 2026

Development of an Experimental Setup for the Measurement of the Coefficient of Restitution under Vacuum Conditions
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Exploring the optimal experimental setup for surface flow velocity measurements using PTV.

S F Dal Sasso1, A Pizarro2, C Samela2

  • 1Department of European and Mediterranean Cultures, University of Basilicata, via Lazazzera SN, 75100, Matera, Italy. silvano.dalsasso@gmail.com.

Environmental Monitoring and Assessment
|July 13, 2018
PubMed
Summary

Particle tracking velocimetry (PTV) using drones offers a cost-effective method for detailed surface flow velocity monitoring. This study optimized PTV configurations for accurate hydrological and infrastructure interaction studies.

Keywords:
PTVRiver flow monitoringSurface flow velocityUAS

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Area of Science:

  • Hydrology and Water Resources Engineering
  • Environmental Fluid Mechanics
  • Remote Sensing and Photogrammetry

Background:

  • Accurate flow monitoring is essential for understanding basin hydrology and flow-infrastructure interactions.
  • Image processing techniques, particularly Particle Tracking Velocimetry (PTV), offer high-resolution, cost-effective hydraulic monitoring.
  • Unmanned Aerial Systems (UASs) provide a versatile platform for PTV data acquisition.

Purpose of the Study:

  • To explore optimal particle seeding density and frame rates for PTV in various configurations.
  • To validate PTV-derived surface flow velocities against conventional measurements.
  • To establish best practices for PTV application in field settings using UASs.

Main Methods:

  • Numerical analysis to determine optimal PTV parameters (seeding density, frame rate).
  • Field experiments utilizing a quadrocopter-mounted camera to record RGB videos of floating tracers.
  • Benchmarking PTV velocity data against current meter measurements under diverse conditions.

Main Results:

  • Identified optimal experimental configurations for PTV, including particle seeding density, image resolution, particle size, and frame frequency.
  • Achieved high-resolution temporal and spatial flow velocity fields.
  • Demonstrated good agreement between PTV-derived velocities and conventional measurements.

Conclusions:

  • PTV, especially when deployed with UASs, is a viable and accurate method for surface flow velocity measurement.
  • Optimized PTV configurations enhance the reliability and resolution of hydrological flow monitoring.
  • This approach provides valuable data for understanding flow dynamics and their impact on infrastructure.