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Energy transient growth in curved channel flow

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Abstract

Transient growth of perturbations due to non-normality for the curved channel Poiseuille flow (CCPF) is presented. The study covers a wide range of the radii ratios η as well as axial and azimuthal modes, with the purpose of complementing the results of linear stability for this flow with a study of the optimal linear growth possible in the linearly stable parameter regions. For the wide-gap case, the transient growth of streamwise-azimuthal modes that grow most is of low level and suppressed by curvature. It is also found that as curved channel flow approaches the flow in a straight channel enough, both the normal and non-normal stability characteristics are almost identical to that of plane Poiseuille flow. The modulation of the basic circular Poiseuille flow by the presence of azimuthal streaks resulting from the significant growth of initial perturbations can be clearly visualized. For the transition region between the wide-gap case and the narrow-gap case, the sensitivity of eigenvalues is shown to be closely related to the magnitude of transient growth, which is tuned by curvature in a smooth way.

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Authors and Affiliations

  1. Department of Modern Mechanics, University of Science and Technology of China, Hefei, 230027, China

    Cheng Chen, Bo-Fu Wang, Zhi-Wei Guo & De-jun Sun

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  1. Cheng Chen
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  2. Bo-Fu Wang
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  3. Zhi-Wei Guo
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  4. De-jun Sun
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Correspondence to De-jun Sun.

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Chen, C., Wang, BF., Guo, ZW. et al. Energy transient growth in curved channel flow. Acta Mech 221, 341–351 (2011). https://doi.org/10.1007/s00707-011-0513-z

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  • DOI: https://doi.org/10.1007/s00707-011-0513-z

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