Third-order resonance effects and the nonlinear stability of drop oscillations
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Publication:3789220
DOI10.1017/S0022112087002544zbMath0645.76060MaRDI QIDQ3789220
Ramesh Natarajan, Robert A. Brown
Publication date: 1987
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
quasi-periodic motionsLagrangianeigenfrequenciesAmplitude equationsfinite amplitude axisymmetric oscillationsfour-lobed oscillatorygeneric cubic resonanceisolated, inviscid dropnon- axisymmetric perturbationsnon-axisymmetric travelling-wave solutionsthree-dimensional nonlinear oscillations
Related Items (13)
A model for nonlinear axisymmetric droplet vibrations ⋮ Faraday waves on a cylindrical fluid filament – generalised equation and simulations ⋮ Nonlinear modal equations for a levitating drop ⋮ Nonlinear oscillations of viscous liquid drops ⋮ Nonlinear dynamics of viscous droplets ⋮ Parametric resonance in acoustically levitated water drops ⋮ Internal flow of acoustically levitated drops undergoing sectorial oscillations ⋮ Complexification-averaging method via the averaged Lagrangian ⋮ Generalizing the multimodal method for the levitating drop dynamics ⋮ Three-dimensional oscillation characteristics of electrostatically deformed drops ⋮ Experimental and theoretical investigation of large-amplitude oscillations of liquid droplets ⋮ Resonances of a conducting drop in an alternating electric field ⋮ Weakly nonlinear shape oscillations of inviscid drops
Cites Work
- Nonlinear oscillations of inviscid drops and bubbles
- Resonant oscillations of inviscid charged drops
- Quadratic resonance in the three-dimensional oscillations of inviscid drops with surface tension
- Free oscillations of drops and bubbles: the initial-value problem
- Non-linear dispersion of water waves
- The oscillations of a fluid droplet immersed in another fluid
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