Analytic expression for Taylor–Couette stability boundary

DOI10.1063/1.868963zbMath1027.76552arXivcond-mat/9509136OpenAlexW3103246866MaRDI QIDQ4426450

Alexander Esser, Siegfried Grossmann

Publication date: 9 January 2004

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9509136

Mathematics Subject Classification ID

Rotation in hydrodynamic stability (76E07)

Related Items (25)

Self-sustainment of coherent structures in counter-rotating Taylor–Couette flow ⋮ A novel subcritical transition to turbulence in Taylor–Couette flow with counter-rotating cylinders ⋮ Influence of Reynolds number and rotational number on the features of a transitional flow in short Taylor-Couette cavity ⋮ Transient dynamics of the wavy regime in Taylor-Couette geometry ⋮ The rapid-rotation limit of the neutral curve for Taylor–Couette flow ⋮ On high-Taylor-number Taylor vortices ⋮ Fully nonlinear mode competition in magnetised Taylor–Couette flow ⋮ Marginally stable and turbulent boundary layers in low-curvature Taylor–Couette flow ⋮ Microbubbly drag reduction in Taylor–Couette flow in the wavy vortex regime ⋮ Calculation of the mean velocity profile for strongly turbulent Taylor–Couette flow at arbitrary radius ratios ⋮ Spatio-temporal mode dynamics and higher order transitions in high aspect ratio Newtonian Taylor–Couette flows ⋮ Stability and turbulent transport in Taylor–Couette flow from analysis of experimental data ⋮ Optimal Taylor–Couette flow: direct numerical simulations ⋮ Applying laser Doppler anemometry inside a Taylor-Couette geometry using a ray-tracer to correct for curvature effects ⋮ On the quasiperiodic state in a moderate aspect ratio Taylor–Couette flow ⋮ Influence of global rotation and Reynolds number on the large-scale features of a turbulent Taylor–Couette flow ⋮ Subcritical instability of finite circular Couette flow with stationary inner cylinder ⋮ Turbulent flow between counter-rotating concentric cylinders: a direct numerical simulation study ⋮ Direct numerical simulations of spiral Taylor–Couette turbulence ⋮ Much faster heat/mass than momentum transport in rotating Couette flows ⋮ Momentum transport in Taylor–Couette flow with vanishing curvature ⋮ Secondary instabilities in Taylor–Couette flow of shear-thinning fluids ⋮ Velocity profiles, flow structures and scalings in a wide-gap turbulent Taylor–Couette flow ⋮ Optimal Taylor–Couette turbulence ⋮ Strong alignment of prolate ellipsoids in Taylor–Couette flow

Cites Work

• Local stability analysis along Lagrangian paths.
• Finite-gap solutions of the Davey-Stewartson equations
• Experiments on the stability of viscous flow between rotating cylinders II. Visual observations
• Stability of Flow Between Arbitrarily Spaced Concentric Cylindrical Surfaces Including the Effect of a Radial Temperature Gradient
• Transition in circular Couette flow

This page was built for publication: Analytic expression for Taylor–Couette stability boundary