The stability of circular Couette flow in discontinuous axisymmetric geometries is investigated using numerical simulations and physical experiments. By contouring the geometry of the inner cylinder, Taylor vortices can be made to appear in discrete sections along the length of the cylinder while adjoining sections remain stable. The disparate flows are connected by transition regions that arise from the stability of the axially nonuniform base flow state. The geometry of the inner cylinder can be tailored to produce the simultaneous onset of Taylor vortices of different wavelength in neighboring sections. In another variant, a stack of inner cylinders of common radius are made to rotate independently to produce adjacent regions of stable and unstable flow.
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January 2008
Research Article|
January 18 2008
Tailored Taylor vortices
M. A. Sprague;
M. A. Sprague
a)
1School of Natural Sciences,
University of California
, Merced, California 95344, USA
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P. D. Weidman;
P. D. Weidman
2Department of Mechanical Engineering,
University of Colorado
, Boulder, Colorado 80309, USA
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S. Macumber;
S. Macumber
3Department of Applied Mathematics,
University of Colorado
, Boulder, Colorado 80309, USA
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P. F. Fischer
P. F. Fischer
4Mathematics and Computer Science Division,
Argonne National Laboratory
, Argonne, Illinois 60439, USA
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a)
Author to whom correspondence should be addressed. Electronic mail: msprague@ucmerced.edu.
Physics of Fluids 20, 014102 (2008)
Article history
Received:
May 30 2007
Accepted:
December 04 2007
Citation
M. A. Sprague, P. D. Weidman, S. Macumber, P. F. Fischer; Tailored Taylor vortices. Physics of Fluids 1 January 2008; 20 (1): 014102. https://doi.org/10.1063/1.2831493
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