an:04112305
Zbl 0678.76108
Benjamin, T. Brooke
Note on shape oscillations of bubbles
EN
J. Fluid Mech. 203, 419-424 (1989).
00154325
1989
j
76T99 76M99
virial equation; second-order perturbations theory; Asymmetric capillary vibrations; gas bubble in an infinite incompressible liquid
Summary: By use of a virial equation introduced in a recent paper [the author, ibid. 181, 349-379 (1987; Zbl 0634.76098)], the main results of a second- order perturbations theory developed by \textit{M. S. Longuet-Higgins} [ibid. 201, 525-541 (1989)] are recovered in comparatively simple fashion. Asymmetric capillary vibrations of gas bubble in an infinite incompressible liquid are confirmed to generate an increase in the volume of the bubble, a lowering of the mean pressure of the gas and a monopole component in the motion of the liquid. It is shown that the second effect remains when the bubble is incompressible.
Zbl 0634.76098