The oscillations of a small floating bubble



Journal Title

Journal ISSN

Volume Title


The Physics of Fluids


A simple model of a small bubble floating at the surface of a liquid before bursting is considered. The oscillations of this system are studied by means of a Lagrangian method. It is found that two fundamentally different modes exist. The surface mode has low frequency and does not change appreciably the volume of the immersed part of the bubble: As a consequence, its efficiency as a source of sound in the water is very limited. The volume mode has a much higher frequency and is a more efficient radiator in the water, although it may be hard to excite. Both modes behave as monopole sources in the air. It is therefore predicted that an oscillating floating bubble is a much more intense source of sound in the air than in the liquid. This conclusion seems to be supported by experimental observations.



Lagrangian mechanics


Copyright 1989 Physics of Fluids. Recommended citation: Lu, N. Q., H. N. Oguz, and A. Prosperetti. "The oscillations of a small floating bubble." Physics of Fluids A: Fluid Dynamics 1, no. 2 (1989): 252-260. DOI: 10.1063/1.857495 URL: Reproduced in accordance with the original publisher’s licensing terms and with permission from the author(s).