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Related Concept Videos

Elastic Collisions: Case Study01:15

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Elastic collision of a system demands conservation of both momentum and kinetic energy. To solve problems involving one-dimensional elastic collisions between two objects, the equations for conservation of momentum and conservation of internal kinetic energy can be used. For the two objects, the sum of momentum before the collision equals the total momentum after the collision. An elastic collision conserves internal kinetic energy, and so the sum of kinetic energies before the collision equals...
Elastic Collisions: Introduction01:00

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An elastic collision is one that conserves both internal kinetic energy and momentum. Internal kinetic energy is the sum of the kinetic energies of the objects in a system. Truly elastic collisions can only be achieved with subatomic particles, such as electrons striking nuclei. Macroscopic collisions can be very nearly, but not quite, elastic, as some kinetic energy is always converted into other forms of energy such as heat transfer due to friction and sound. An example of a nearly...
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Collision process between an incident bead and a three-dimensional granular packing.

Djaoued Beladjine1, Madani Ammi, Luc Oger

  • 1Groupe Matière Condensée et Matériaux, UMR CNRS 6626, F-35042 Rennes cedex, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 7, 2007
PubMed
Summary

Particle collisions with granular beds, crucial for understanding sand transport, were experimentally studied. Ejection velocities were analyzed, revealing insights into particle dynamics and energy transfer during impacts.

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Area of Science:

  • Physics
  • Geophysics
  • Granular Mechanics

Background:

  • Understanding granular particle collisions is vital for fields like eolian sand transport.
  • Previous studies have focused on simplified models, necessitating detailed experimental analysis.

Purpose of the Study:

  • To experimentally investigate the collision dynamics between an incident particle and a 3D granular packing.
  • To analyze the ejection velocity components (horizontal V{x} and vertical V{z}) of splashed particles.
  • To determine the relationship between impact parameters and particle ejection characteristics.

Main Methods:

  • Experimental setup involving an incident bead impacting a 3D granular packing of identical particles.
  • Measurement of the horizontal (V{x}) and vertical (V{z}) ejection velocity components of splashed particles.
  • Systematic variation of impact angle (theta{i}) and incident velocity (V{i}).

Main Results:

  • Mean quadratic horizontal ejection velocity is largely insensitive to impact angle and velocity.
  • Mean quadratic vertical ejection velocity increases with incident velocity (as V{i}{1/2}).
  • Mean number of ejected particles scales with impact speed (as V{i}{3/2}) and depends on impact angle.
  • Total kinetic energy of splashed particles is proportional to incident particle kinetic energy.

Conclusions:

  • The study provides a detailed characterization of particle ejection in granular collisions.
  • The findings offer crucial data for refining models of granular transport phenomena, such as eolian processes.
  • The bivariate probability distribution of ejection velocities can be approximated by a product of log-normal and circular normal distributions.