Linear oscillations of a compressible hemispherical bubble on a solid substrate

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The linear natural and forced oscillations of a hemispherical bubble on a solid substrate are under theoretical consideration. The contact line dynamics is taken into account with the Hocking condition, which eventually leads to interaction of the shape and volume oscillations. Resonant phenomena, mostly pronounced for the bubble with the fixed contact line or with the fixed contact angle, are found out. The limiting case of weakly compressible bubble is studied. The general criterion identifying whether the compressibility of a bubble can be neglected is obtained.
new slightly extended version with some minor changes, added journal reference and DOI information; 12 pages, 8 figures, published in Physics of Fluids

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Fluid Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/161106

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.0212
 http://arxiv.org/abs/0710.0212
 Physics of Fluids 20, 052102 (2008)
 doi:10.1063/1.2918728

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arXiv