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Tomoaki Watamura1, Reiji Iwata2, Kazuyasu Sugiyama2

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Area of Science:

  • Fluid dynamics
  • Rotational mechanics

Background:

  • Free surface oscillation in rotating containers is a complex phenomenon.
  • Understanding these oscillations is crucial for optimizing mixing processes.

Purpose of the Study:

  • To investigate the mechanisms driving free surface oscillation in a rotating mixing container.
  • To correlate oscillation amplitude with torque measurements.

Main Methods:

  • Observation of free surface deformation.
  • Measurement of torque on the mixing bar.
  • Derivation of an equation of motion using Lagrangian mechanics.

Main Results:

  • Periodic surface oscillation was observed.
  • Maximum oscillation amplitude coincided with local maxima in time-averaged torque.
  • Sloshing occurs when collision frequency matches natural frequency and damping is low.

Conclusions:

  • Hydrodynamics of oscillation can be modeled using point-mass mechanics.
  • The model accurately predicts rotation speeds leading to violent oscillations.