Abstract
We investigated the laminar-turbulent transition of a spherical Couette flow for clearance ratio β=0.14 at which velocity fluctuation disappears. We found that the root mean square value for Vφ shows complicated evolution for distribution in the radial direction, while the root mean square value for V∂ shows a relatively simple one, where V∂ and Vφ are the fluctuating velocity components of the azimuthal and meridian directions, respectively. Calculating the correlation dimension and drawing the Poincare section, it is revealed that the flow field traces a scenario as follows : steady state-> periodic state-> quasi-periodic state-> chaos-> periodic state-> steady state (the disappearance of velocity fluctuation) -> periodic state-> chaos. It is also shown that in the quasi-periodic state, the first return map becomes irreversible as the Reynolds number increases.
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