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- Title
Nonlinear Vibrations of a Charged Drop in a Third-Order Approximation in the Amplitude of Multimode Initial Deformation.
- Authors
Zharov, A. N.; Shiryaeva, S. O.; Grigor'ev, A. I.
- Abstract
A solution to the problem of nonlinear surface vibration of a charged ideal liquid drop is found in a third-order approximation in initial multimode deformation of the equilibrium spherical shape by the method of many scales. It is shown that the spectrum of modes that are responsible for the shape of the drop at an arbitrary time instant depends considerably on the spectrum of modes governing the initial deformation of the drop. The latter spectrum also has an effect on nonlinear corrections to the vibration frequencies and, consequently, on a nonlinear correction to the critical Rayleigh parameter, which specifies the stability of the drop against self-charge. © 2003 MAIK “Nauka / Interperiodica”.
- Subjects
RAYLEIGH waves; SPECTRUM analysis; GASES; LIQUIDS
- Publication
Technical Physics, 2003, Vol 48, Issue 12, p1511
- ISSN
1063-7842
- Publication type
Article
- DOI
10.1134/1.1634670