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The onset of Taylor-like vortices in the flow induced by an impulsively started rotating cylinder

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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 τc to mark the onset of instability for T≫Tc 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 τ≅4τc. It seems evident that during τc≤τ≤4τc the secondary flow is very weak and the primary state of time-dependent annular Couette flow is maintained.

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Authors and Affiliations

  1. Department of Chemical Engineering, Cheju National University, Cheju, 690-756, Korea

    Min Chan Kim

  2. School of Chemical Engineering, Seoul National University, Seoul, 151-744, Korea

    Tae Joon Chung & Chang Kyun Choi

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  1. Min Chan Kim
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  2. Tae Joon Chung
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  3. Chang Kyun Choi
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Correspondence to Min Chan Kim.

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H.J.S. Fernando

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Kim, M., Chung, T. & Choi, C. The onset of Taylor-like vortices in the flow induced by an impulsively started rotating cylinder. Theor. Comput. Fluid Dyn. 18, 105–114 (2004). https://doi.org/10.1007/s00162-004-0126-4

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  • DOI: https://doi.org/10.1007/s00162-004-0126-4

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