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We have performed direct numerical simulations of counter-rotating Taylor–Couette–Poiseuille flows with a radius ratio of \(\eta = 0.5\) to investigate the scenario of turbulent transition phenomena. Near the inner cylinder, streaks aligned with the wall shear stress coexisted with a large-scale oblique mode in a different direction. The flow fields were decomposed using filter operations to identify their characteristic length scales. The low-pass filtered fluctuating velocity field reveals large-scale secondary flows, resembling the localized turbulent patterns observed during subcritical transitions in wall-bounded uni-directional flows. However, the large-scale oblique mode differs from the conventional localized turbulent patterns because the laminar and turbulent regions are not separated. This large-scale oblique mode can be interpreted as a helical version of the mode structure observed at low radius ratios ( \(\eta \le 0.5\) , Tanaka et al., Int. J. Adv. Eng. Sci. Appl. Math., 2018).

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Flow State Transition Process and Oblique Pattern of Taylor–Couette–Poiseuille Flow at a Medium Cylinder Ratio

  • 会议论文

  • 发表日期：

    2026年

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  • Yuki Matsukawa,
  • Ryo Araki,
  • Takahiro Tsukahara

摘要

We have performed direct numerical simulations of counter-rotating Taylor–Couette–Poiseuille flows with a radius ratio of \(\eta = 0.5\) to investigate the scenario of turbulent transition phenomena. Near the inner cylinder, streaks aligned with the wall shear stress coexisted with a large-scale oblique mode in a different direction. The flow fields were decomposed using filter operations to identify their characteristic length scales. The low-pass filtered fluctuating velocity field reveals large-scale secondary flows, resembling the localized turbulent patterns observed during subcritical transitions in wall-bounded uni-directional flows. However, the large-scale oblique mode differs from the conventional localized turbulent patterns because the laminar and turbulent regions are not separated. This large-scale oblique mode can be interpreted as a helical version of the mode structure observed at low radius ratios ( \(\eta \le 0.5\) , Tanaka et al., Int. J. Adv. Eng. Sci. Appl. Math., 2018).