Internal shear layers in librating spherical shells: the case of periodic characteristic paths

DOI10.1017/jfm.2022.138zbMath1504.76096OpenAlexW3214365588MaRDI QIDQ3390382

Jiyang He, Stéphane Le Dizès, Michel Rieutord, Benjamin Favier

Publication date: 24 March 2022

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

Full work available at URL: https://doi.org/10.1017/jfm.2022.138

zbMATH Keywords

asymptotic solutionspherical harmonicsboundary layer separationChebyshev polynomial series solutionextended self-similar solutionlinearised incompressible Navier-Stokes equationsvanishing Ekman number

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) General theory of rotating fluids (76U05)

Related Items (3)

Inertial wave attractors in librating cuboids ⋮ Internal shear layers in librating spherical shells: the case of attractors ⋮ Inertial wave super-attractor in a truncated elliptic cone

Cites Work

• Unnamed Item
• Unnamed Item
• Inertial waves in a rotating spherical shell: attractors and asymptotic spectrum
• Wave focusing and ensuing mean flow due to symmetry breaking in rotating fluids
• Wave field and zonal flow of a librating disk
• Wave attractors and the asymptotic dissipation rate of tidal disturbances
• Viscous dissipation by tidally forced inertial modes in a rotating spherical shell
• Linear theory of rotating fluids using spherical harmonics part I: Steady flows
• On the Stability of a Maclaurin Spheroid of Small Viscosity.
• On waves in a thin rotating spherical shell of slightly viscous fluid
• Viscous shear layers in an oscillating rotating fluid
• Inertial waves in a rotating spherical shell
• Axisymmetric inertial modes in a spherical shell at low Ekman numbers
• Analysis of singular inertial modes in a spherical shell: the slender toroidal shell model
• On the internal shear layers spawned by the critical regions in oscillatory Ekman boundary layers
• Oscillatory internal shear layers in rotating and precessing flows
• Reflection of oscillating internal shear layers: nonlinear corrections
• Experimental study of the nonlinear saturation of the elliptical instability: inertial wave turbulence versus geostrophic turbulence
• On almost rigid rotations. Part 2
• The reflexion of internal/inertial waves from bumpy surfaces
• The reflexion of internal/inertial waves from bumpy surfaces. Part 2. Split reflexion and diffraction
• A similarity solution for viscous internal waves
• Energy Transfer in Rotating Fluids by Reflection of Inertial Waves

This page was built for publication: Internal shear layers in librating spherical shells: the case of periodic characteristic paths