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An oscillating discontinuity is a type of discontinuity in which a function’s values fluctuate infinitely often as the input approaches a particular point. Unlike jump discontinuities, where the function suddenly shifts between two values, or infinite discontinuities, where the function diverges without bound, an oscillating discontinuity arises from rapid back-and-forth variation. Because the function never stabilizes toward a single value, no finite limit exists at that point.One of the...
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Flow and clog in a silo with oscillating exit.

Kiwing To1, Hsiang-Ting Tai1

  • 1Institute of Physics, Academia Sinica, Taipei 115, Taiwan.

Physical Review. E
|January 20, 2018
PubMed
Summary

Oscillating silo exits prevent grain flow blockages, even with small openings. Flow rate depends on oscillation strength and speed, with intermittent flow observed at low speeds and exit sizes.

Area of Science:

  • Physics of granular materials
  • Fluid dynamics of granular flow

Background:

  • Grain flow from silos can be blocked by arching at the exit.
  • Arch formation necessitates active intervention for flow recovery.

Purpose of the Study:

  • Investigate the impact of movable exit oscillation on grain flow rate and clogging.
  • Analyze the effects of oscillation amplitude (A) and frequency (f) on silo discharge.

Main Methods:

  • Utilized a two-dimensional silo model with a movable oscillating exit.
  • Systematically varied exit size (D), oscillation amplitude (A), and frequency (f).
  • Measured flow rate (W), clogging, and unclogging dynamics.

Main Results:

  • Oscillation maintains finite flow rate (W) even for exit sizes (D) near one grain diameter.

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  • Flow rate initially increases with oscillation strength (Γ) at small D but decreases at D≥5.
  • Intermittent flow occurs at low oscillation speeds (v), with W depending solely on v.
  • Phase boundary for intermittent flow follows D∝v^{-7} or D∝e^{-D/0.55}.
  • Flow time statistics are Poissonian; recovery time statistics follow a power law.

    • Conclusions:

    • Exit oscillation is an effective strategy to prevent and recover from grain flow blockages in silos.
    • The relationship between flow rate and oscillation strength is complex and depends on exit size.
    • The dynamics of intermittent flow and clogging recovery exhibit distinct statistical behaviors.