The onset of Taylor-like vortices in the flow induced by an impulsively started rotating cylinder |
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Authors: | Min Chan Kim Tae Joon Chung Chang Kyun Choi |
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Affiliation: | (1) Department of Chemical Engineering, Cheju National University, Cheju, 690-756, Korea;(2) School of Chemical Engineering, Seoul National University, Seoul, 151-744, Korea |
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Abstract: | The onset of instability in the flow by an impulsively started rotating cylinder is analyzed under linear theory. It is well-known that at the critical Taylor number Tc=1695 the secondary flow in form of Taylor vortices sets in under the narrow-gap approximation. Here the dimensionless critical time c to mark the onset of instability for TTc is presented as a function of the Taylor number T. Available experimental data of water indicate that deviation of the velocity profiles from the primary flow occurs starting from a certain time 4c. It seems evident that during c4c the secondary flow is very weak and the primary state of time-dependent annular Couette flow is maintained. |
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Keywords: | Taylor-like vortices stability analysis time-dependent Couette flow propagation theory |
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