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Flow transitions in the surface switching of rotating fluid

  • Y. TASAKA (a1) and M. IIMA (a2)

We study ‘surface switching’ quantitatively in flows driven by the constant rotation of the endwall of an open cylindrical vessel reported by Suzuki, Iima & Hayase (Phys. Fluids, vol. 18, 2006, p. 101701): the deformed free surface switches between axisymmetric and non-axisymmetric shapes accompanied by irregular vertical oscillation. Detailed simultaneous measurements showed that the magnitude of the velocity fluctuations (turbulent intensity) temporally varies greatly and are strongly correlated with the surface height, suggesting that dynamic switching between laminar and turbulent states is accompanied by vessel-scale surface shape changes. The study also identified clear hysteresis in the turbulent intensity arising from changes in the Reynolds number; the bifurcation diagram consists of two overlapping branches representing a high-intensity (turbulent) state and a low-intensity (laminar) state. Based on the results, a switching mechanism is suggested.

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Corwin E. I. 2008 Granular flow in a rapidly rotated system with fixed walls. Phys. Rev. E 77, 031308.
Cross A. & Le Gal P. 2002 Spatiotemporal intermittency in the torsional Couette flow between a rotating and a stationary disk. Phys. Fluids 14, 1038.
Gregory N., Stuart J. T. & Walker W. S. 1955 On the stability of three-dimensional boundary layers with application to the flow due to a rotating disk. Phil. Trans. R. Soc. Lond. Ser. A 248, 155199.
Hof B., Westerweel J., Schneider T. M. & Eckhardt B. 2006 Finite lifetime of turbulence in shear flows. Nature 443, 5962.
Jansson T. R. N., Haspang M. P., Jensen K. H., Hersen P. & Bohr T. 2006 Polygons on a rotating fluids surface. Phys. Rev. Lett. 96, 174502.
von Kármán T. 1921 Über laminare und turbulente Reibung. Z. Angew. Math. Mech. 1, 232252.
Le Gal P., Tasaka Y., Nagao J., Cros A. & Yamaguchi K. 2007 A statistical study of spots in torsional Couette flow. J. Engng Math. 57, 289302.
Lopez M., Marques F., Hirsa A. H. & Miraghaie R. 2004 Symmetry breaking in free-surface cylinder flows. J. Fluid Mech. 502, 99126.
Mashiko T., Tsuji Y., Mizuno T. & Sano M. 2004 Instantaneous measurement of velocity fields in developed thermal turbulence in mercury. Phys. Rev. E 69, 036306.
Perry A. E., Lim T. T. & Teh E. W. 1981 A visual study of turbulent spot. J. Fluid Mech. 104, 387405.
Reed H. L. & Saric W. S. 1989 Stability of three-dimensional boundary layers. Annu. Rev. Fluid Mech. 21, 235284.
Shatrov V., Gerbeth G. & Hermann R. 2008 An alternating magnetic field driven flow in a spinning cylindrical container. J. Fluids Engng 130, 071201.
Suzuki T., Iima M. & Hayase Y. 2006 Surface switching of rotating fluid in a cylinder. Phys. Fluids 18, 101701.
Takeda Y. 1995 Instantaneous velocity profile measurement by ultrasonic Doppler method. JSME Intl J. B38, 816.
Takeda Y. 1996 Quasi-periodic state and transition to turbulence in a rotating Couette system. J. Fluid Mech. 389, 8199.
Tasaka Y., Iima M. & Ito K. 2008 a Rotating flow transition related to surface switching. J. Phys.: Conf. Ser. 137, 012030.
Tasaka Y., Ito K. & Iima M. 2008 b Visualization of a rotating flow under large-deformed free surface using anisotropic flakes. J. Vis. 11-2, 163172.
Tasaka Y., Kon S., Schouveiler L. & Le Gal P. 2006 Hysteretic mode exchange in the wake of two circular cylinders in tandem. Phys. Fluids 18, 084104.
Tasaka Y., Yano K. & Iima M. 2008 c Ultrasonic investigation of flow transition in surface switching of rotating fluid. Proceedings of the Sixth Intl Symp. on Ultrasonic Doppler Method. PDF of the paper is available on the web;
Vatistas G. H. 1990 A note on liquid vortex sloshing and Kelvin's equilibria. J. Fluid Mech. 217, 241248.
Vatistas G. H., Abderrahmane H. A. & Siddiqui M. H. K. 2008 Experimental confirmation of Kelvin's equilibria. Phys. Rev. Lett. 100, 174503.
Wygnanski I. J. & Champagne F. H. 1973 On transition in a pipe. Part 1. The origin of puffs and slugs and the flow in a turbulent slug. J. Fluid Mech. 59, 281335.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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