Capillary–gravity Kelvin–Helmholtz waves close to resonance

DOI10.1017/S0022112090000635zbMath0706.76020OpenAlexW2046086685MaRDI QIDQ3486976

Thomas J. Hanratty, V. Bontozoglou

Publication date: 1990

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112090000635

zbMATH Keywords

Kelvin-Helmholtz instabilityperiod-doubling bifurcationCapillary-gravity waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (7)

Effects of surface tension reduction on wind-wave growth and air–water scalar transfer ⋮ Group Equivariant Singularity Theory in the Bifurcation of Interfacial Wilton Ripples ⋮ Resonant capillary–gravity interfacial waves ⋮ Geometric Aspects of Spatially Periodic Interfacial Waves ⋮ On 1:2 resonant waves which arise between two stratified fluids of finite vertical extent in the presence of mean flow effects ⋮ Nonlinear resonant interactions of interfacial waves in horizontal stratified channel flows ⋮ Effects of head loss, surface tension, viscosity and density ratio on the Kelvin-Helmholtz instability in different types of pipelines

Cites Work

• Finite-amplitude oscillations in a Kelvin-Helmholtz flow
• Weakly nonlinear Kelvin–Helmholtz waves
• Nonlinear interfacial progressive waves near a boundary in a Boussinesq fluid
• On the generation of surface waves by shear flows
• On the generation of surface waves by shear flows Part 3. Kelvin-Helmholtz instability
• Effects of finite depth and current velocity on large amplitude Kelvin-Helmholtz waves
• Numerical solution of the exact equations for capillary–gravity waves
• Steady Gravity-Capillary Waves On Deep Water-1. Weakly Nonlinear Waves
• Numerical calculation of gravity-capillary interfacial waves of finite amplitude
• Steady Gravity-Capillary Waves on Deep Water-II. Numerical Results for Finite Amplitude
• Finite-amplitude interfacial waves in the presence of a current
• Kelvin–Helmholtz instability of finite amplitude
• Nonlinear waves in a Kelvin-Helmholtz flow

This page was built for publication: Capillary–gravity Kelvin–Helmholtz waves close to resonance