On the nonlinear stability of slowly varying time-dependent viscous flows

DOI10.1017/S0022112083000208zbMath0519.76045OpenAlexW2148112417MaRDI QIDQ3669056

Philip Hall

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1017/s0022112083000208

zbMATH Keywords

amplitude equationperturbation procedureTaylor vortex problemfinite-amplitude disturbancesneighbourhood of bifurcation pointquasi-steady approach not sufficient

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Incompressible viscous fluids (76D99) General theory of rotating fluids (76U05)

Related Items (8)

Görtler vortices in growing boundary layers: The leading edge receptivity problem, linear growth and the nonlinear breakdown stage ⋮ Mode competition in modulated Taylor–Couette flow ⋮ On the Görtler vortex instability mechanism at hypersonic speeds ⋮ Destabilization of the Couette-Taylor flow by modulation of the inner cylinder rotation ⋮ The effect of small surface perturbations on the pulsatile boundary layer on a semi-infinite flat plate ⋮ Computations of transitions and Taylor vortices in temporally modulated Taylor-Couette flow ⋮ Modulated Taylor–Couette flow ⋮ The linear stability of oscillating pipe flow

Cites Work

• The nonlinear calculation of Taylor-vortex flow between eccentric rotating cylinders
• The stability of unsteady cylinder flows
• Linear stability of modulated circular Couette flow
• On Bifurcating Periodic Solutions at Low Frequency
• On the instability of Taylor vortices
• Low-frequency modulation of thermal instability
• Non-local effects in the stability of flow between eccentric rotating cylinders
• Nonlinear Stability Theory

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