Helical mode breakdown in transitional boundary layers

ORAL

Abstract

Results of direct numerical simulation of transition to turbulence in adverse pressure gradient boundary layers beneath free-stream turbulence will be presented. Instability waves are excited spontaneously and may be identified when intensity of free-stream turbulence ($Tu$) is sufficiently low. At very low $Tu\sim0.1\%$, secondary instability of the TS waves and at high $Tu>2\%$, conventional bypass mechanisms trigger turbulent spot formation. At low $Tu\sim1\%$ transition proceeds through formation of helical modes. Helical structures as in $n = 1$ instability modes of axisymmetric wakes and jets are clearly identifiable in visualizations of isosurfaces of stream-wise perturbation velocity. Helical modes also trigger transition at same level of $Tu$ in zero pressure gradient boundary layers as well, provided that the inlet disturbances include a low amplitude time-periodic unstable TS wave. This indicates that these secondary instability modes might arise due to interaction of Klebanoff streaks and instability waves. Characteristically, the helical modes are inner instability modes.

Authors

  • Rikhi Bose

    Iowa State Univ

  • Paul Durbin

    Iowa State Univ