Transitions to complex flows in the Ekman–Couette layer

Author:

HOFFMANN N.,BUSSE F. H.,CHEN W.-L.

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.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

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