Free oscillations of drops and bubbles: the initial-value problem
- 11 September 1980
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 100 (02) , 333-347
- https://doi.org/10.1017/s0022112080001188
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.Keywords
This publication has 21 references indexed in Scilit:
- Acoustically forced shape oscillation of hydrocarbon drops levitated in waterJournal of Colloid and Interface Science, 1979
- Initial value problem for Rayleigh–Taylor instability of viscous fluidsPhysics of Fluids, 1978
- Limits of the nuclear viscosity coefficient in the liquid-drop modelPhysics Letters B, 1976
- Viscous effects on small-amplitude surface wavesPhysics of Fluids, 1976
- Heat and Mass Transfer From Freely Falling DropsJournal of Heat Transfer, 1976
- Model for the breakup rate of spherical drops in isotropic turbulent flowsPhysics of Fluids, 1975
- Growth of the Boundary Layer on a Spherical Gas BubbleJournal of Applied Mechanics, 1974
- Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's MethodThe Computer Journal, 1974
- The motion of drops in viscous mediaChemical Engineering Science, 1965
- Taylor instability of an evaporating plane interfaceAIChE Journal, 1961