Abstract
By use of a virial equation introduced in a recent paper (Benjamin 1987), the main results of a second-order perturbation theory developed by Longuet-Higgins (1989a) are recovered in comparatively simple fashion. Asymmetric capillary vibrations of a 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.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference7 articles.
1. Longuet-Higgins, M. S. :1989a Monopole emission of sound by asymmetric bubble motions. Part 1. Normal modes.J. Fluid Mech. 201,525–541.
2. Plesset, M. S. & Prosperetti, A. ,1977 Bubble dynamics and cavitation.Ann. Rev. Fluid Mech. 9,145–185.
3. Lamb, H. :1932 Hydrodynamics ,6th edn.Cambridge University Press (Dover edition 1945).
4. Jeffreys, H. & Jeffreys, B. S. ,1956 Methods of Mathematical Physics ,3rd edn.Cambridge University Press.
5. Benjamin, T. B. :1987 Hamiltonian theory for motions of bubbles in an infinite liquid.J. Fluid Mech. 181,349–379.
Cited by
18 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献