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Published May 1, 1985 | public
Journal Article Open

Some bifurcation diagrams for Taylor vortex flows


The numerical continuation and bifurcation methods of Keller [H. B. Keller, in Applications of Bifurcation Theory (Academic, New York, 1977), pp. 359–384] are used to study the variation of some branches of axisymmetric Taylor vortex flow as the wavelength in the axial direction changes. Closed "loops" of solutions and secondary bifurcations are determined. Variations with respect to Reynolds number show the same phenomena. The results presented here show that Taylor vortices with periodic boundary conditions exist in a wider range of wavelengths, lambda, than observed in the Burkhalter/Koschmieder experiments [Phys. Fluids 17, 1929 (1974)]. They also show that there is possibly a lambda subinterval within the neutral curve of Couette flow such that there are no Taylor vortex flows with smallest period in this interval.

Additional Information

Copyright © 1985 American Institute of Physics (Received 3 May 1984; accepted 13 February 1985) We wish to thank F. Busse, D. Coles, D. Knight, P. Saffman, and the referees for useful comments about this work. This work was supported by the Department of Energy under Contract No. DE-AT03-76ER72012 and by the Army Research Office under Contract No. DAAG-29-81-K-0107.


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