A revised gap-averaged Floquet analysis of Faraday waves in Hele-Shaw cells

DOI10.1017/jfm.2023.986arXiv2306.11501OpenAlexW4390270971MaRDI QIDQ6186057

François Gallaire, Alessandro Bongarzone, Unnamed Author, Francesco Viola

Publication date: 9 January 2024

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

Full work available at URL: https://arxiv.org/abs/2306.11501

zbMATH Keywords

Navier-Stokes equationsparametric instabilitydamping coefficientintegral contact line termWomersley pulsating flow solution

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrodynamic stability (76E99) Other free boundary flows; Hele-Shaw flows (76D27)

Cites Work

• An accurate adaptive solver for surface-tension-driven interfacial flows
• Gerris: A tree-based adaptive solver for the incompressible Euler equations in complex geometries.
• Variational finite element methods for waves in a Hele-Shaw tank
• Inertial corrections to the Darcy law in a Hele–Shaw cell
• Faraday waves: their dispersion relation, nature of bifurcation and wavenumber selection revisited
• A volume-of-fluid formulation for the study of co-flowing fluids governed by the Hele-Shaw equations
• Consistent section-averaged equations of quasi-one-dimensional laminar flow
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• A new method for calculating eigenvalues with applications to gravity-capillary waves with edge constraints
• Capillary–viscous forcing of surface waves
• Measurements of surface-wave damping in a container
• A numerical analysis of the influence of the liquid depth on two-dimensional Faraday waves
• Contact-line dynamics and damping for oscillating free surface flows
• Two-phase displacement in Hele Shaw cells: theory
• The damping of capillary–gravity waves at a rigid boundary
• The effect of surface tension on the shape of fingers in a Hele Shaw cell
• Gravity-capillary waves with edge constraints
• Surface-wave damping in a circular cylinder with a fixed contact line
• Parametric instability of the interface between two fluids
• An amplitude equation modelling the double-crest swirling in orbital-shaken cylindrical containers
• Subharmonic parametric instability in nearly brimful circular cylinders: a weakly nonlinear analysis
• The Faraday threshold in small cylinders and the sidewall non-ideality
• Capillary hysteresis in sloshing dynamics: a weakly nonlinear analysis
• Sloshing in a Hele-Shaw cell: experiments and theory
• Stability and hysteresis of Faraday waves in Hele-Shaw cells
• Kelvin–Helmholtz instability in a Hele-Shaw cell
• The stability of the plane free surface of a liquid in vertical periodic motion
• Super-harmonically resonant swirling waves in longitudinally forced circular cylinders

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