Zonal flow in a resonant precessing cylinder

DOI10.1017/jfm.2021.574zbMath1495.76124arXiv2103.14889OpenAlexW3145449524MaRDI QIDQ4957953

Christophe Eloy, Stéphane Le Dizès, Patrice Meunier, Donglai Gao

Publication date: 6 September 2021

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

Full work available at URL: https://arxiv.org/abs/2103.14889

zbMATH Keywords

asymptotic analysisrotating flownonlinear instabilityazimuthal wavenumberviscous correctioninviscid Kelvin mode

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) General theory of rotating fluids (76U05) Rotation in hydrodynamic stability (76E07)

Related Items (1)

Resonances and instabilities in a tilted rotating annulus

Cites Work

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• Numerical study of the motions within a slowly precessing sphere at low Ekman number
• Precession of a rapidly rotating cylinder flow: traverse through resonance
• Instabilities and inertial waves generated in a librating cylinder
• Precessional instability of a fluid cylinder
• On the stability of a spinning top containing liquid
• A rotating fluid cylinder subject to weak precession
• Non-resonant viscous theory for the stability of a fluid-filled gyroscope
• Precession driven dynamos
• Mean zonal flows generated by librations of a rotating spherical cavity
• Dynamics of a Near-Resonant Fluid-Filled Gyroscope
• Secondary instabilities in rapidly rotating fluids: inertial wave breakdown
• Inertial waves in a rotating spherical shell
• Chaotic dynamics in a strained rotating flow: a precessing plane fluid layer
• Elliptic and triangular instabilities in rotating cylinders
• Axisymmetric inertial modes in a spherical shell at low Ekman numbers
• On the internal shear layers spawned by the critical regions in oscillatory Ekman boundary layers
• Oscillatory internal shear layers in rotating and precessing flows
• Nonlinear evolution of the elliptical instability: an example of inertial wave breakdown
• Internal shear layers from librating objects
• Libration-driven inertial waves and mean zonal flows in spherical shells
• Reflection of oscillating internal shear layers: nonlinear corrections
• Hysteresis and instabilities in a spheroid in precession near the resonance with the tilt-over mode
• On the origins of steady streaming in precessing fluids
• Spontaneous generation of inertial waves from boundary turbulence in a librating sphere
• Rapidly rotating precessing cylinder flows: forced triadic resonances
• On triadic resonance as an instability mechanism in precessing cylinder flow
• Experimental study of the nonlinear saturation of the elliptical instability: inertial wave turbulence versus geostrophic turbulence
• Parametric instability in a rotating cylinder of gas subject to sinusoidal axial compression. Part 2. Weakly nonlinear theory
• Steady fluid flow in a precessing spheroidal shell
• On the non-linear interaction of inertial modes
• Cylindrical tank of fluid oscillating about a state of steady rotation
• On the precession of a resonant cylinder
• On a dynamo driven by topographic precession
• On a dynamo driven topographically by longitudinal libration

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