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Published on: May 9, 2021
Oscillation of a rotating levitated droplet: Analysis with a mechanical model
Hiroyuki Kitahata1, Rui Tanaka2, Yuki Koyano1
1Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan.
Abstract:
A droplet of millimeter-to-centimeter scale can exhibit electrostatic levitation, and such levitated droplets can be used for the measurement of the surface tension of the liquids by observing the characteristic frequency of oscillatory deformation. In the present study, a simple mechanical model is proposed by considering a single mode of oscillation in the ellipsoidal deformation of a levitated rotating droplet. By measuring the oscillation frequency with respect to the rotational speed and oscillation amplitude, it is expected that the accuracy of the surface tension measurement could be improved. Using the proposed model, the dependences of the characteristic frequency of oscillatory deformation and the averaged aspect ratio are calculated with respect to the rotational angular velocity of a rotating droplet. These dependences are found to be consistent with the experimental observations.
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