Time Constants of the Transition between Onset and Decay Reynolds Numbers for the Appearance of Taylor-Couette Flow

Takashi Watanabe^{*}

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References

[1] R. Tagg, “The Taylor Couette Problem” Nonlinear Science Today, Vol. 4, 1994, pp. 1-25.

[2] T. B. Benjamin, “Bifurcation Phenomena in Steady Flows of a Viscous Fluid I, Theory”, Proceedings of the Royal Society A, Vol. 79, No. 1696, 1978, pp. 1-26.
doi:10.1098/rspa.1978.0028

[3] T. B. Benjamin, “Bifurcation Phenomena in Steady Flows of a viscous Fluid II, Experiment”, Proceedings of the Royal Society A, Vol. 359, No. 1696, 1978, pp. 27-43.
doi:10.1098/rspa.1978.0030

[4] T. Watanabe, H. Furukawa and I. Nakamura, “Nonlinear Development of Flow Patterns in an Annulus with decelerating Inner Cylinder”, Physics of Fluids, Vol. 14, No. 1, 2002, pp. 333-341.

[5] H. Furukawa, T. Watanabe, Y. Toya and I. Nakamura, “Flow Pattern Exchange in the Taylor-Couette System with a Very Small Aspect Ratio”, Physical Review E, Vol. 65, No. 3, 2002, Article ID: 036306.
doi:10.1103/PhysRevE.65.036306

[6] E. L. Koschmieder, “Bénard Cells and Taylor Vortices”, Cambridge Univ. Press, Cambridge, 1993.

[7] J. Abshagen, O. Meincke, G. Pfister, K. A. Cliffe and T. Mullin, “Transient Dynamics at the Onset of Taylor Vortices”, Journal of Fluid Mechanics, Vol. 476, 2003, pp. 335-343. doi:10.1017/S002211200200321X

[8] P. Manneville and O. Czarny, “Aspect-Ratio Dependence of Transition Taylor Vortices Close to Threshold”, Theoretical and Computational Fluid Dynamics, Vol. 23, No. 1, 2009, pp. 15-36. doi:10.1007/s00162-009-0093-x