Movie S1.

Consecutive image sequence of the isosurface of swirling strength λci=22×5.33×10−4Uf/θ0 over the transitional and early turbulent region 80<Reθ<1,160. Grayscale represents local values of y/δ, with white corresponding to y/δ≥1. The image sequence starts from instance t=110,000Δt and ends at t=115,000Δt. It is evident that infant TRTSs are caused by Λ vortices originating from spanwise vortex filaments. Infant TRTSs are simple hairpin packets; young TRTSs are elongated hairpin packet with noise, and matured TRTSs are a local concentration of hairpin vortices mixed with random vortex filaments. High-resolution and long-duration versions of this image sequence from instance t=100,000Δt to t=120,000Δt can be downloaded from the Center for Turbulence Research website at Stanford University.

Transitional–turbulent spots and turbulent–turbulent spots in boundary layers

Xiaohua Wu, Parviz Moin, James M. Wallace, Jinhie Skarda, Adrián Lozano-Durán, and Jean-Pierre Hickey

PNAS. 2017. 114:E5292-E5299 DOI: 10.1073/pnas.1704671114