Nonlinear dynamics near the stability margin in rotating pipe flow

DOI10.1017/S0022112091000502zbMath0736.76063OpenAlexW2001298076MaRDI QIDQ3987813

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Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1017/s0022112091000502

zbMATH Keywords

Ginzburg-Landau equationwave packetsStokes wavesmarginal stabilitynonlinear evolutionsupercritical Hopf bifurcationsideband instabilityrotating pipe flow

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) General theory of rotating fluids (76U05)

Related Items (2)

Multiple bifurcation of rotating pipe flow ⋮ Strong exchange of stabilities in rapidly rotating parabolic Poiseuille flow

Cites Work

• Invariant helical subspaces for the Navier-Stokes equations
• Slowly varying fully nonlinear wavetrains in the Ginzburg-Landau equation
• Bending waves on inviscid columnar vortices
• Secondary instability of wall-bounded shear flows
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 2. The development of a solution for plane Poiseuille flow and for plane Couette flow
• The effect of rigid rotation on the finite-amplitude stability of pipe flow at high Reynolds number
• On perturbation methods in nonlinear stability theory
• Finite-amplitude stability of axisymmetric pipe flow
• Dynamics of Perturbed Wavetrain Solutions to the Ginzburg-Landau Equation
• Nonlinear spiral waves in rotating pipe flow
• Linear stability of rotating Hagen-Poiseuille flow
• Stability of Hagen-Poiseuille flow with superimposed rigid rotation
• Nonlinear stability of parallel flows with subcritical Reynolds numbers. Part 2. Stability of pipe Poiseuille flow to finite axisymmetric disturbances
• On Itoh's finite amplitude stability theory for pipe flow
• On the behaviour of small disturbances to Poiseuille flow in a circular pipe
• On the instability of rapidly rotating shear flows to non-axisymmetric disturbances
• On the instability of viscous flow in a rapidly rotating pipe
• A non-linear instability theory for a wave system in plane Poiseuille flow
• The stability of Poiseuille flow in a pipe of circular cross-section
• Finite-amplitude stability of pipe flow
• Analysis of the stability of axisymmetric jets

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