The linear stability of the flow in a narrow spherical annulus

DOI10.1017/S0022112078001330zbMath0379.76045MaRDI QIDQ4158669

I. C. Walton

Publication date: 1978

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

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Hydrodynamic stability (76E99)

Related Items (11)

The linear inviscid secondary instability of longitudinal vortex structures in boundary layers ⋮ Pulse-train solutions of a spatially heterogeneous amplitude equation arising in the subcritical instability of narrow gap spherical 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 ⋮ Stability of the unsteady viscous flow in a curved pipe ⋮ An inhomogeneous Landau equation with application to spherical Couette flow in the narrow gap limit ⋮ Characteristics of disturbances in the laminar–turbulent transition of spherical Couette flow. 1. Spiral Taylor–Görtler vortices and traveling waves for narrow gaps ⋮ Advances in Taylor vortex flow: A report on the fourth Taylor vortex flow working party meeting ⋮ Taylor vortices between two concentric rotating spheres ⋮ Global bifurcation to travelling waves with application to narrow gap spherical Couette flow

Cites Work

• On the effects of side walls on Benard convection
• The effect of distant sidewalls on the transition to finite amplitude Benard convection
• The smooth transition to a convective régime in a two-dimensional box
• On the evaluation of the critical Reynolds number for the flow of fluid between two rotating spherical surfaces

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