The influence of viscosity on the frozen wave instability: theory and experiment

DOI10.1017/S0022112007006283zbMath1117.76301MaRDI QIDQ5757171

Anne Juel, Shreyas V. Jalikop, Emma Talib

Publication date: 6 September 2007

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

zbMATH Keywords

linear stability analysisstratified layers

Mathematics Subject Classification ID

Experimental work for problems pertaining to fluid mechanics (76-05) Stratification effects in viscous fluids (76D50) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (11)

Oscillatory Kelvin–Helmholtz instability. Part 1. A viscous theory ⋮ Oscillatory Kelvin–Helmholtz instability. Part 2. An experiment in fluids with a large viscosity contrast ⋮ Instability of a viscous interface under horizontal oscillation ⋮ Viscosity effect on the longwave instability of a fluid interface subjected to horizontal vibrations ⋮ Stability and hysteresis of Faraday waves in Hele-Shaw cells ⋮ Vibrational convection in a heterogeneous binary mixture. Part 2. Frozen waves ⋮ Steep capillary-gravity waves in oscillatory shear-driven flows ⋮ Interfacial instability for droplet formation in two-layer immiscible liquids under rotational oscillation ⋮ Effect of initial interface orientation on patterns produced by vibrational forcing in microgravity ⋮ Stably stratified square cavity subjected to horizontal oscillations: responses to small amplitude forcing ⋮ Oscillatory transverse instability of interfacial waves in horizontally oscillating flows

Cites Work

• The Kelvin-Helmholtz instability for a viscous interface
• Interface dynamics of immiscible fluids under horizontal vibration
• Stability of plane-parallel vibrational flow in a two-layer system
• Shear-flow instability at the interface between two viscous fluids
• Kelvin-Helmholtz stability criteria for stratified flow: viscous versus non-viscous (inviscid) approaches
• Squire’s theorem for two stratified fluids
• Two-dimensional patterns in Rayleigh-Taylor instability of a thin layer
• Two-fluid spin-up in a centrifuge
• Finite-wavelength instability in a horizontal liquid layer on an oscillating plane
• Parametric instability of the interface between two fluids
• The stability of an unsteady Kelvin–Helmholtz flow

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