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Free oscillations of drops and bubbles: the initial-value problem

Published online by Cambridge University Press:  19 April 2006

Andrea Prosperetti
Andrea Prosperetti
Affiliation:
Istituto di Fisica, Università di Milano, Milano, Italy
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Abstract

We study the initial-value problem posed by the small-amplitude (linearized) free oscillations of free drops, gas bubbles, and drops in a host liquid when viscous effects cannot be neglected. It is found that the motion consists of modulated damped oscillations, with the damping parameter and frequency approaching only asymptotically the results of the normal-mode analysis. The connexion with the normal-mode method is demonstrated explicitly and the experimental relevance of our results is discussed.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 100 , Issue 2 , 25 September 1980 , pp. 333 - 347
Copyright
© 1980 Cambridge University Press

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