Journal
FLUID DYNAMICS
Volume 39, Issue 6, Pages 851-862Publisher
SPRINGER
DOI: 10.1007/s10697-004-0002-3
Keywords
drop oscillations; contact line motion; natural and forced oscillations; resonance
Categories
Funding
- American Civil Research and Development Foundation (CRDF) [PE-009-0]
- INTAS [2000-0617]
- Russian Foundation for Basic Research [01-01-00443]
- Program for Support of Leading Scientific Schools [00-15-96112]
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Natural oscillations of a hemispherical drop on a solid substrate are considered. The Hocking condition is used to take into account the contact angle dynamics. The natural oscillations attenuate due to dissipation on the contact line and the degeneracy in the azimuthal number is eliminated. Forced oscillations of the drop are studied for tangential vibrations of the substrate. For the case of a fixed contact line, the amplitude of the forced oscillations grows without bound near the fundamental frequency. In other cases, the amplitude is finite.
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