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Localized spirals in Taylor-Couette flow.

M Heise1, J Abshagen, D Küter

  • 1Institute of Experimental and Applied Physics, University of Kiel, 24098 Kiel, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 21, 2008
PubMed
Summary
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New spiral vortex states emerge from supercritical Hopf bifurcations in Taylor-Couette flow. These distinct states, localized near end plates, coexist with classical spirals and exhibit unique symmetries and frequencies.

Area of Science:

  • Fluid dynamics
  • Nonlinear dynamics
  • Complex systems

Background:

  • Circular Couette flow is a fundamental system for studying fluid instabilities.
  • Classical spiral states arise from linear instability in counterrotating flows.
  • Understanding bifurcations is key to predicting complex flow patterns.

Purpose of the Study:

  • To identify and characterize novel spiral vortex states in a Taylor-Couette system.
  • To investigate the conditions under which these states emerge.
  • To compare their properties with previously known classical spiral states.

Main Methods:

  • Numerical simulations of fluid flow in a Taylor-Couette system with rigid end plates.
  • Analysis of supercritical Hopf bifurcations.

Related Experiment Videos

  • Experimental verification of numerical findings.
  • Main Results:

    • A new type of spiral vortex state was observed, originating from a supercritical Hopf bifurcation below linear instability.
    • These states exhibit localized amplitudes near the rigid end plates.
    • They coexist with classical spirals and possess distinct oscillation frequencies and symmetries (spatial or spatiotemporal reflection symmetry).

    Conclusions:

    • The study reveals a new pathway to complex vortex states in confined fluid systems.
    • These findings expand our understanding of pattern formation in Taylor-Couette flow.
    • The discovered states offer new avenues for research in nonlinear fluid dynamics.