Taylor vortices between two concentric rotating spheres

DOI10.1017/S0022112082001244zbMath0506.76036OpenAlexW2004117310MaRDI QIDQ4743923

Fritz Bartels

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1017/s0022112082001244

zbMATH Keywords

Taylor vorticesequatorial- and axisymmetric solutionsgap between concentric rotating spheresunstable laminar

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Absolute and convective instability and stability in hydrodynamic stability (76E15) General theory of rotating fluids (76U05) Finite difference methods for boundary value problems involving PDEs (65N06) Basic methods in fluid mechanics (76M99)

Related Items

A numerical method for study of the unsteady viscous flow between two concentric rotating spheres, The first instability in spherical Taylor-Couette flow, Multiple solutions and stability of confined convective and swirling flows – a continuing challenge, Fluid mechanics research at the Institute of Aerodynamics, RWTH Aachen University: from 1912 through 2012, The spherical Taylor-Couette flow, Axisymmetric pulse train solutions in narrow-gap spherical Couette flow, Simulation of flow between concentric rotating spheres. Part 1. Steady states, Simulation of flow between concentric rotating spheres. Part 2. Transitions, A steady-state solver for the simulation of Taylor vortices in spherical annular flow., Study of the axially symmetric motion of an incompressible viscous fluid between two concentric rotating spheres, Drifting vortices in ramped Taylor vortex flow: Quantitative results from phase equation, Advances in Taylor vortex flow: A report on the fourth Taylor vortex flow working party meeting, Global bifurcation to travelling waves with application to narrow gap spherical Couette flow

Cites Work

• Die Instabilität der Strömung zwischen zwei rotierenden Zylindern gegenüber Taylor-Wirbeln für beliebige Spaltbreiten
• Calculation of the flow between two rotating spheres by the method of series truncation
• Viscous incompressible flow between concentric rotating spheres. Part 3. Linear stability and experiments
• The linear stability of the flow in a narrow spherical annulus
• A numerical study of the time-dependent viscous flow between two rotating spheres
• Viscous incompressible flow between concentric rotating spheres. Part 1. Basic flow
• Viscous incompressible flow between concentric rotating spheres. Part 2. Hydrodynamic stability