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$\begin{figure} \par\includegraphics[width=12cm,clip]{2792f1.ps} \end{figure}$ Figure 1: Stability diagram of Couette-Taylor flow in the ( $\Omega _{\rm o}$ , $\Omega _{\rm i}$ ) plane where $\Omega _{\rm o}$ and $\Omega _{\rm i}$ are the angular velocities (in Hz) of the outer and inner cylinder respectively; solid line: solid body rotation; dotted lines: viscous stability criteria; dashed lines: inviscid stability criteria (see text for detail). On the right (resp. left) of the solid body rotation curve, the angular velocity gradient is positive (resp. negative). The flows within the dark surface are Rayleigh unstable. The dots are the experimental instability boundaries within which the flows exhibit self-sustained turbulence; The lined surfaces stand for the predicted non-linearly instability. Experimental results are from Richard et al. (2002).
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In the text