Instability analysis of nonlinear surface waves in a circular cylindrical container subjected to a vertical excitation

DOI10.1016/j.euromechflu.2005.03.002zbMath1103.76326OpenAlexW2014594811MaRDI QIDQ2573459

Xuequan E, Yong-Jun Jian

Publication date: 22 November 2005

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: http://dspace.imech.ac.cn/handle/311007/16276

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Interfacial stability and instability in hydrodynamic stability (76E17) Waves for incompressible viscous fluids (76D33)

Related Items

Subharmonic parametric instability in nearly brimful circular cylinders: a weakly nonlinear analysis ⋮ Nonlinear interfacial waves in a circular cylindrical container subjected to a vertical excitation ⋮ Nonlinear dynamics and chaos of magnetized resonant surface waves in a rectangular container

Cites Work

• Unnamed Item
• Ordered and chaotic modes of surface wave patterns in a vertically oscillating fluid
• Nonlinear Faraday waves in a parametrically excited circular cylindrical container
• Parametrically excited solitary waves
• Damping of surface waves in an incompressible liquid
• Energy dissipation in standing waves in rectangular basins
• Chaotic motions in a weakly nonlinear model for surface waves
• Viscous cross-waves: An analytical treatment
• Nonlinear surface waves in closed basins
• Surface-wave damping in a brimful circular cylinder
• Effects of surfactants on Faraday-wave dynamics
• Surface-wave damping in a circular cylinder with a fixed contact line
• Wave pattern formation in a fluid annulus with a radially vibrating inner cylinder
• On Faraday waves
• Nonlinear Faraday resonance in a box with a square base
• The damping of surface gravity waves in a bounded liquid
• Edge waves on a sloping beach
• The stability of the plane free surface of a liquid in vertical periodic motion