Transition in circular Couette flow

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Transition in circular Couette flow

Two distinct kinds of transition have been identified in Couette flow between concentric rotating cylinders. The first, which will be called transition by spectral evolution, is characteristic of the motion when the inner cylinder has a larger angular velocity than the outer one. As the speed increases, a succession of secondary modes is excited; the first is the Taylor motion (periodic in the ...

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Instability criterion for oblique modes in stratified circular Couette flow

An analytical approach is carried out that provides an inviscid stability criterion for the strato-rotational instability (in short SRI) occurring in a Taylor-Couette system. The control parameters of the problem are the rotation ratio μ and the radius ratio η. The study is motivated by recent experimental [1] and numerical [2, 3] results reporting the existence of unstable modes beyond the Ray...

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Transition from circular Couette flow to Taylor vortex flow in dilute and semi-concentrated suspensions of stiff fibers

We report the results of a theoretical study of the stability of a Couette flow of dilute and concentrated suspensions of stiff fibers. The Ericksen anisotropic fluid rheological equation of state in the wide-gap situation is used to compute the critical Taylor number and wavenumber of the suspension as a function of the aspect ratio of the fibers and the gap-width

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The dynamics of transition to turbulence in plane Couette flow

In plane Couette flow, the incompressible fluid between two plane parallel walls is driven by the motion of those walls. The laminar solution, in which the streamwise velocity varies linearly in the wall-normal direction, is known to be linearly stable at all Reynolds numbers (Re). Yet, in both experiments and computations, turbulence is observed for Re & 360. In this article, we show that when...

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ژورنال

عنوان ژورنال: Journal of Fluid Mechanics

سال: 1965

ISSN: 0022-1120,1469-7645

DOI: 10.1017/s0022112065000241