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Mode competition in modulated Taylor-Couette flow

Avila, M., Belisle, M. J., Lopez, J. M., Marques, F. & Saric, W. S.

Journal of Fluid Mechanics, vol. 601 (2008),   pp. 381-406

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Movie 1 Movie 2
rv&theta &omega&theta
rv&theta &omega&theta

Movie 1 Numerical simulation of type B (non-reversing) Taylor vortex flow between two concentric cylinders. The outer cylinder (right boundary) is held stationary whereas the inner cylinder (left boundary) rotates harmonically about a zero-mean with Re(t)=Rea sin(&omegat). Centrifugal instability is triggered every half-period and results in synchronous secondary Taylor vortex flows. In the high frequency regime shown in this movie, this instability is manifested by angular momentum jets erupting from the inner cylinder at a fixed axial location. Angular momentum (&omega&theta) and azimuthal vorticity (rv&theta) are shown in a meridional cross-section at ω=6.1 and Rea=240. Red (blue) corresponds to positive (negative) values. The wavenumber of the axially periodic pattern is kB=3.4. The movie corresponds to figure 8 in the paper.
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Movie 2 Numerical simulation of type A (reversing) Taylor vortex flow at ω=1 and Rea=240 with wavenumber kA=3.0. In the low frequency regime shown in this movie, the angular momentum jets shift their locations by half the wavelength of the pattern when the inner cylinder reverses its direction of rotation. Angular momentum and azimuthal vorticity are shown in a meridional cross-section. Red (blue) corresponds to positive (negative) values. The movie corresponds to figure 10 in the paper.
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