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- Title
Nonlinear capillary vibration of a charged bubble in an ideal dielectric liquid.
- Authors
Zharov, A. N.; Grigor’ev, A. I.; Zharova, I. G.
- Abstract
The problem of nonlinear radial pulsations and surface vibrations of a charged bubble placed in an ideal incompressible dielectric liquid is asymptotically solved up to the second order of smallness by the method of many scales. It is shown that, in the case of nonlinear vibrations, resonance energy exchange may take place not only between surface modes but also between the radial mode and a surface mode. A new type of instability (other than Rayleigh instability against the self-charge), instability against the excess vapor pressure in the bubble, is discovered. The new type of instability shows up as energy transfer from the centrosymmetric pulsation mode to all initially excited surface vibration modes simultaneously.
- Subjects
LIQUID dielectrics; THERMODYNAMICS of bubbles; ENERGY transfer; VAPOR pressure; CAVITATION; FLUID dynamics
- Publication
Technical Physics, 2006, Vol 51, Issue 10, p1293
- ISSN
1063-7842
- Publication type
Article
- DOI
10.1134/S1063784206100069