Endwall Effects in a Periodically Forced Couette{taylor Flow
نویسندگان
چکیده
The centrifugal instability leading to Taylor vortex ow can be controlled by harmonic oscillations of the inner cylinder in the axial direction. Over a wide range of frequencies and amplitudes of this oscillation, the dynamics remain axisymmetric and the response to the applied periodic control mechanism is synchronous. We implement an accurate and e cient spectral-projection scheme for solving the fully nonlinear axisymmetric Navier-Stokes equations to examine the e ects of endwalls on the ow dynamics and the breaking of space-time symmetries. We nd a route to chaos via a Naimark{Sacker bifurcation with frequency locking 1:9.
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