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Impact01:30

Impact

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Impact occurs when two bodies collide, leading to the application of impulsive forces between them. Analyzing impact mechanics involves considering two colliding particles moving along a line known as the line of impact, which passes through their centers and is perpendicular to the contact plane.
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In the dynamic realm of billiards, a fascinating interplay of forces governs the motion of cue balls and stationary balls. When the cue ball collides with a stationary ball, linear momentum is exchanged. The cue ball imparts a fraction of its linear momentum to the stationary ball, causing the cue ball to decelerate while initiating the motion of the stationary ball.
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Consider a control volume, such as a pipe with solid boundaries, through which fluid flows and changes direction due to the impulse exerted by the resulting force from the pipe walls. In steady flow, the mass of fluid entering the control volume at a given time, t, with velocity v1, is equal to the mass leaving after infinitesimal time dt, with velocity v2.
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Impacts can be classified in various forms, primarily under two subgroups: central impact and oblique impact. A central impact occurs when two objects collide head-on, possessing opposite velocities aligned along the line of impact. Conversely, an oblique impact occurs when two objects collide at an angle, resulting in a modification of both direction and velocity.
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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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According to Newton’s second law of motion, the rate of change of the momentum of an object is the net external force acting on it. The total change in momentum between two timepoints thus depends on both the external force acting on it and the time over which it acts. Describing this mathematically, the total change of an object’s motion is proportional to the force vector and the time over which it is applied. This product is called impulse.
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Steady flow dynamics during granular impact.

Abram H Clark1,2, Lou Kondic3, Robert P Behringer1

  • 1Department of Physics & Center for Nonlinear and Complex Systems, Duke University, Durham, North Carolina 27708, USA.

Physical Review. E
|June 15, 2016
PubMed
Summary
This summary is machine-generated.

Granular flow dynamics during impacts are studied. Particle flow near an intruder scales with intruder speed, remaining balanced despite rapid deceleration, applicable to transient granular flows.

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Area of Science:

  • Physics
  • Mechanical Engineering
  • Materials Science

Background:

  • Granular materials exhibit complex behaviors under dynamic loading.
  • Understanding transient granular flows is crucial for various engineering applications.

Purpose of the Study:

  • To investigate the dynamics of granular flow during impact events.
  • To determine the relationship between intruder motion and particle flow.
  • To assess the influence of grain properties and interactions on flow dynamics.

Main Methods:

  • Experimental investigation of intruder impacts on granular disks.
  • Computational simulations to model granular flow dynamics.
  • Analysis of particle flow behavior and force balances.

Main Results:

  • Particle flow near the intruder is proportional to the instantaneous intruder speed.
  • Granular flow remains balanced with the intruder, even during rapid deceleration.
  • Flow dynamics are largely insensitive to specific grain properties due to timescale separation.

Conclusions:

  • The observed granular flow behavior is applicable to a broad range of dynamic granular flows.
  • Models for static granular flows may be adaptable for transient scenarios.
  • Accurate grain-grain interaction models are not essential for capturing flow in this regime.