Pitchfork bifurcations in small aspect ratio Taylor-Couette flow

  • Tom Mullin
  • Doug Satchwell
  • Yorinobu Toya
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 549)


We present a discussion of steady bifurcation phenomena in Taylor-Couette flow. The emphasis is on the role of pitchfork bifurcations in mathematical models and their relevance to the physical problem. The general features of such bifurcations are reviewed before we discuss the numerical and experimental techniques used to ex- plore their properties. New results are then presented for a wide-gap small aspect ratio version of Taylor-Couette flow. We find good agreement between numerical and exper- imental results and show that the qualitative features of the bifurcation sequence are the same as those found with other radius ratios.


Bifurcation Point Radius Ratio Pitchfork Bifurcation Small Aspect Ratio Taylor Vortex 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Tom Mullin
    • 1
  • Doug Satchwell
    • 1
  • Yorinobu Toya
    • 2
  1. 1.Department of Physics and AstronomyThe University of ManchesterManchesterUK
  2. 2.Department of Mechanical EngineeringNagano National College of TechnologyNaganoJapan

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