Abstract
The plane Couette system does not exhibit any secondary solutions
bifurcating from
the primary solution of constant shear. Since the work of Nagata (1990)
it has
been well known that three-dimensional steady solutions exist. Here the
manifold of
those steady solutions is explored in the parameter space of the problem
and their
instabilities are investigated. These instabilities usually lead to time-periodic
solutions whose properties do not differ much from those of the steady
solutions except that
the amplitude varies in time. In some cases travelling wave solutions which
are
asymmetric with respect to the midplane of the layer are found as quaternary
states
of flow. Similarities with longitudinal vortices recently observed in
experiments are discussed.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
130 articles.
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