@article{4f947b298f3444298b906c86b9741703,
title = "Tailored Taylor vortices",
abstract = "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.",
author = "Sprague, {M. A.} and Weidman, {P. D.} and S. Macumber and Fischer, {P. F.}",
note = "The authors thank Randall Tagg for providing critical stability results shown in Figs. 2–4 , Olivier Czarny, Eric Serre, Patrick Bontoux, and Richard Lueptow for providing validation data discussed in Sec. III , and Brian Sprague for digital enhancement of Fig. 14(a) . The authors are grateful to Henry Tufo for his generous commitment of computer resources and time in guiding our use of the spectral FE program. The experimental apparatus was gratefully lent to us by Scott Kittelman from the Department of Atmospheric and Oceanic Science and we thank Ryan Almeida and Gregg Potts for modifying the inner cylinder. M.A.S. performed preliminary work on this project while a NSF VIGRE Postdoctoral Fellow under Grant No. DMS 9810751 in the Department of Applied Mathematics at the University of Colorado at Boulder. Substantial improvement of the manuscript came from addressing critical remarks of an anonymous referee. Computer time was provided by NSF ARI Grant No. CDA-9601817, NSF MRI Grant No. CNS-0420873, NASA AIST Grant No. NAG2-1646, DOE SciDAC Grant No. DE-FG02-04ER63870, NSF sponsorship of the National Center for Atmospheric Research, and a grant from the IBM Shared University Research (SUR) program.",
year = "2008",
month = jan,
doi = "10.1063/1.2831493",
language = "English (US)",
volume = "20",
journal = "Physics of fluids",
issn = "1070-6631",
publisher = "American Institute of Physics",
number = "1",
}