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Title of Journal: Acta Mechanica

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Abbravation: Acta Mechanica

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Springer-Verlag

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10.1007/bf00186357

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1619-6937

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Onset of TaylorGörtler instability in accelerated

Authors: M C Kim C K Choi
Publish Date: 2006/10/02
Volume: 188, Issue: 1-2, Pages: 79-92
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Abstract

The onset of TaylorGörtler vortices in a developing Couette flow induced by the inner cylinder rotating with timedependent manner is analyzed using linear theory It is well known that there is a critical Taylor number Ta c at which Taylor vortices set in between two concentric cylinders For Ta Ta c TaylorGörtler vortices are detected experimentally at a certain elapsed time In the present study the critical time t c to represent the onset of a fastest growing instability which then grows as toroidal vortices is analyzed using the propagation theory Available experimental data indicate that for large Ta secondary motion is detected starting from a certain time t m ≈ 4t c This means that the growth period of initiated instabilities is needed for secondary motion to be detected experimentally The new measures to represent the onset of a fastest growing instability in the primary timedependent Couette flow are suggested

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