Simulation of flow between concentric rotating spheres. Part 2. Transitions

DOI10.1017/S0022112087003070zbMath0645.76118MaRDI QIDQ3789271

Philip S. Marcus, Laurette S. Tuckerman

Publication date: 1987

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

zbMATH Keywords

bifurcationsteady flowsstable linear eigenmodesteady-state axisymmetric spherical Couette flowstwo- vortex flows

Mathematics Subject Classification ID

Boundary-layer theory, separation and reattachment, higher-order effects (76D10) General theory of rotating fluids (76U05) Basic methods in fluid mechanics (76M99)

Related Items (26)

Electromagnetically driven anticyclonic rotation in spherical Couette flow ⋮ The effects of centrifugal force on the stability of axisymmetric viscous flow in a rotating annulus ⋮ Bifurcation analysis of the Eckhaus instability ⋮ Numerical simulation of instabilities and secondary regimes in spherical Couette flow ⋮ Asymmetry and Hopf bifurcation in spherical Couette flow ⋮ An improved Arrow-Hurwicz method for the steady-state Navier-Stokes equations ⋮ Direction reversal of a rotating wave in Taylor–Couette flow ⋮ Superfluid spherical Couette flow ⋮ An inhomogeneous Landau equation with application to spherical Couette flow in the narrow gap limit ⋮ Stability of differentially heated flow from a rotating sphere ⋮ Spectral solvers for spherical elliptic problems ⋮ Taylor vortices in annular heated spherical flow at medium and large aspect ratios ⋮ Characteristics of disturbances in the laminar–turbulent transition of spherical Couette flow. 1. Spiral Taylor–Görtler vortices and traveling waves for narrow gaps ⋮ Characteristics of disturbances in the laminar–turbulent transition of spherical Couette flow. 2. New disturbances observed for a medium gap ⋮ Global three-dimensional optimal disturbances in the Blasius boundary-layer flow using time-steppers ⋮ Slow rotation of concentric spheres with source at their centre in a viscous fluid ⋮ Numerical simulation of spherical Couette flow ⋮ A numerical technique for the solution of the Navier-Stokes equations of unsteady flow ⋮ Taylor-Couette flow with independently rotating end plates ⋮ An extension of the immersed boundary method based on the distributed Lagrange multiplier approach ⋮ Navier-Stokes spectral solver in a sphere ⋮ Stability analysis for flows in rotating spherical layers (linear theory) ⋮ Accurate Navier-Stokes investigation of transitional and turbulent flows in a circular pipe ⋮ The existence and uniqueness of weak solution of the flow between two concentric rotating spheres ⋮ Bistability and hysteresis of axisymmetric thermal convection between differentially rotating spheres ⋮ Global bifurcation to travelling waves with application to narrow gap spherical Couette flow

Cites Work

• Finite difference solution to the flow between two rotating spheres
• Viscous incompressible flow between concentric rotating spheres. Part 3. Linear stability and experiments
• The linear stability of the flow in a narrow spherical annulus
• Taylor vortices between two concentric rotating spheres
• Simulation of Taylor-Couette flow. Part 2. Numerical results for wavy-vortex flow with one travelling wave
• Stability of Spatially Periodic Supercritical Flows in Hydrodynamics
• Viscous incompressible flow between concentric rotating spheres. Part 2. Hydrodynamic stability
• On the evaluation of the critical Reynolds number for the flow of fluid between two rotating spherical surfaces

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