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Prog. Theor. Phys. Vol. 69 No. 2 (1983) pp. 396-402
Temporal Development of the Taylor Vortices in a Rotating Fluid. V
Hideo Yahata
Department of Materials Science, Faculty of Science, Hiroshima University, Hiroshima 730
(Received May 19, 1982)
Abstract:
Transition to turbulence in the Taylor vortex flow between two concentric cylinders is investigated by the use of the 56-mode model equations presented by the author in IV. With the increase of the Reynolds number just before the onset of turbulence, the motion changes as follows: Quasi-periodic motion with three fundamental frequencies → synchronized motion with two frequencies → non-periodic motion.
URL :
http://ptp.ipap.jp/link?PTP/69/396/
DOI : 10.1143/PTP.69.396
References:
- R. C. DiPrima and H. L. Swinney, in Hydrodynamic Instabilities and the Transition to Turbulence, ed. by H. L. Swinney and J. P. Gollub (Springer, Berlin-Heidelberg-New York, 1981), p. 139.
- H. Yahata, Prog. Theor. Phys. 66 (1981), 879[PTP].
- H. Yahata, Prog. Theor. Phys. 64 (1980), 782[PTP].
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P. R. Fenstermacher, H. L. Swinney and J. P. Gollub, J. Fluid Mech. 94 (1979), 103[CrossRef].
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M. Gorman and H. L. Swinney, J. Fluid Mech. 117 (1982), 123[CrossRef].
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J. P. Gollub and S. V. Benson, J. Fluid Mech. 100 (1980), 449[CrossRef].
- S. Fauve and A. Libchaber, in Chaos and Order in Nature, ed. by H. Haken (Springer, Berlin-Heidelberg-New York, 1981), p. 25.
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T. Gotoh and S. Kuwabara, J. Phys. Soc. Jpn. 51 (1982), 1647[JPSJ].
Citing Article(s) :
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Journal of the Physical Society of Japan 58 (1989) pp. 2380-2385
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Triply Periodic Motion in a Navier-Stokes Flow
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Shigeo Kida, Koji Ohkitani and Michio Yamada
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Progress of Theoretical Physics Vol. 71 No. 2 (1984) pp. 282-294
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Fates of Three-Torus. I
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Kunihiko Kaneko
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Progress of Theoretical Physics Vol. 72 No. 2 (1984) pp. 202-215
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Oscillation and Doubling of Torus
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Kunihiko Kaneko
