Nonlinear oscillations of inviscid drops and bubbles


Tsamopoulos J.A., Brown R.A.


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. © 1983, Cambridge University Press. All rights reserved.


DOI: 10.1017/S0022112083002864