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Transitions to complex flows in the Ekman–Couette layer

Published online by Cambridge University Press:  10 July 1998

N. HOFFMANN ,
F. H. BUSSE  and
W.-L. CHEN
N. HOFFMANN
Affiliation:
Institute of Physics, University of Bayreuth, D-95440 Bayreuth, Germany
F. H. BUSSE
Affiliation:
Institute of Physics, University of Bayreuth, D-95440 Bayreuth, Germany
W.-L. CHEN
Affiliation:
Institute of Physics, University of Bayreuth, D-95440 Bayreuth, Germany
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Abstract

Secondary and tertiary states of fluid flow in a layer between two plates in relative motion and rotating about a normal axis of rotation are studied numerically for a wide range of parameters. Plane Couette flow without rotation and the single Ekman layer at a rigid plate above a quiescent fluid half-space are obtained as limiting cases. A Galerkin method is used for the investigation of the bifurcation structures of the problem. A Chebyshev collocation scheme is used for following the evolution of time-dependent states of the flow. Comparisons are made with experimental observations as well as with previous studies of particular parameter limits.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 366 , 10 July 1998 , pp. 311 - 331
Copyright
© 1998 Cambridge University Press

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