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Nonlinear vortex development in rotating flows.

R E Hewitt1, T Mullin, S J Tavener

  • 1Manchester Centre for Nonlinear Dynamics, University of Manchester, Oxford Road, Manchester M13 9PL, UK. richard.e.hewitt@manchester.ac.uk

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|November 7, 2007
PubMed
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This study reveals stable toroidal vortex structures in rotating cylinders, driven by symmetric end wall and inner cylinder rotation. New flow regimes and vortex cascades were observed and visualized.

Area of Science:

  • Fluid dynamics
  • Experimental and numerical analysis

Background:

  • Secondary vortex flows in confined geometries are complex and not fully understood.
  • Understanding these flows is crucial for various engineering applications.

Purpose of the Study:

  • To investigate steady secondary vortex flows between concentric cylinders.
  • To characterize new vortex structures and flow regimes.
  • To confirm the stability of predicted vortex states.

Main Methods:

  • Combined experimental and numerical simulations.
  • Flow visualization techniques.
  • Analysis of vortex formation and stability.

Main Results:

  • Identified toroidal vortex structures arising from stagnation points.

Related Experiment Videos

  • Observed a cascade of vortices under symmetric rotation.
  • Confirmed stability of new vortex states to symmetry-breaking perturbations.
  • Found vortex structures at low Reynolds numbers with single end wall rotation.

    • Conclusions:

    • Symmetric rotation drives stable toroidal vortices and cascades.
    • New flow regimes and vortex structures are predictable and observable.
    • Flow visualization reveals non-axisymmetric particle paths in certain configurations.