Phys. Rev. A 40, 7197–7201 (1989)Onset of secondary flow in the modulated Taylor-Couette systemReceived 5 June 1989; published in the issue dated December 1989 The critical Reynolds number for the linear instability of primary flow is calculated for a Taylor-Couette system in which the rotation rate of either cylinder is modulated sinusoidally in time. The method used is based on that of Hall [J. Fluid Mech. 67, 29 (1975)] and is restricted to small amplitudes of modulation but allows for a finite gap. For the case of outer-cylinder modulation, we find that the critical Reynolds number is larger than that for the unmodulated system, while, if the inner cylinder is modulated, it is smaller. © 1989 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.40.7197
DOI:
10.1103/PhysRevA.40.7197
PACS:
47.15.Gf, 47.20.-k
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