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Nonlinear oscillations of inviscid drops and bubbles

Published online by Cambridge University Press:  20 April 2006

John A. Tsamopoulos  and
Robert A. Brown
John A. Tsamopoulos
Affiliation:
Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139
Robert A. Brown
Affiliation:
Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139
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Abstract

Moderate-amplitude axisymmetric oscillations of incompressible inviscid drops and bubbles are studied using a Poincaré–Lindstedt expansion technique. The corrections to the drop shape and velocity potential caused by mode coupling at second order in amplitude are predicted for two-, three- and four-lobed motions. The frequency of oscillation is found to decrease with the square of the amplitude; this result compares well with experiments and numerical calculations for drops undergoing two-lobed oscillations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 127 , February 1983 , pp. 519 - 537
Copyright
© 1983 Cambridge University Press

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