Nonlinear analysis of instability modes in the Taylor–Dean system

DOI10.1063/1.868420zbMath0848.76027OpenAlexW1986254277MaRDI QIDQ4851087

Patrice Laure, Innocent Mutabazi

Publication date: 4 November 1996

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

Full work available at URL: https://doi.org/10.1063/1.868420

zbMATH Keywords

Ginzburg-Landau equationssubcritical bifurcationwave numberssmall gap approximationprimary bifurcationanisotropic systemscritical values of Taylor numberssuperposition of circular Couette and curved channel Poiseuille flows

Mathematics Subject Classification ID

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

Related Items (1)

Hydrodynamic stability of Taylor–Dean flow between rotating porous cylinders with radial flow

Cites Work

• Noise-sustained structure, intermittency and the Ginzburg-Landau equation
• Strong selection or rejection of spatially periodic patterns in degenerate bifurcations
• The Eckhaus instability for traveling waves
• The stability of viscous flow between horizontal concentric cylinders
• Phase-winding solutions in a finite container above the convective threshold
• Drifting vortices in ramped Taylor vortex flow: Quantitative results from phase equation
• Flow in the half-filled annulus between horizontal concentric cylinders in relative rotation
• A purely elastic instability in Dean and Taylor–Dean flow
• Stability of Taylor–Dean flow in a small gap between rotating cylinders
• Finite bandwidth, finite amplitude convection
• Accurate solution of the Orr–Sommerfeld stability equation

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