Abstract

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We study turbulence production at the end of a second-mode-induced transition in a Mach 6 boundary layer based on both experiments and numerical simulations. By using ultra-fast visualization and particle image velocimetry, we succeed in capturing a soliton-like wave packet that plays a determining role in turbulence production. We reproduce the experiment by direct numerical simulation, revealing that this wave packet arises from the vortical first Mack mode (the counterpart of Tollmien–Schlichting waves in low-speed boundary layers), rather than the rapidly growing dilatational second Mack mode, which triggers a Λ-vortex and consequent turbulent structure. These results reveal the existence of a transition mechanism in hypersonic boundary layers similar to that in low-speed boundary layers.

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Transition in a Mach 6 flared cone boundary layer over a heated wall has been investigated in the Mach 6 wind tunnel at Peking University using visualization, focused laser differential interferometry, infrared imaging, particle image velocimetry (PIV), and direct numerical simulation (DNS). The model's wall-temperature ratio [Formula: see text] (where [Formula: see text] and T0 are, respectively, the wall temperature and oncoming stream stagnation temperature) can be controlled to vary from 0.66 to 1.77. An ultrafast illumination image system has been used for Rayleigh-scattering visualization and PIV to experimentally capture the dynamics of the transition. Lagrangian flow structures are revealed by both the DNS results and the time-resolved PIV data. The effect of wall temperature on the transition is investigated, and it is found that increasing η initially delays but then promotes the transition to turbulence, with the reversal point being near [Formula: see text]. The turbulence onset mechanism over the heated wall for [Formula: see text], where first-mode-induced oblique breakdown dominates, is then investigated, and it is shown that lifting-up three-dimensional (3D) waves appear around the critical layer owing to the nonlinear development of the oblique first mode. Consequently, a downward sweep motion occurs to compensate for the lifting low-speed fluid, with the formation of a warped wave front. High-shear layers are created around the 3D Lagrangian waves and strengthened to cause the formation of a Λ-vortex. In general, this lifting-up 3D wavepacket has been confirmed to play a determining role in hypersonic turbulence production over a heated wall, which is similar to the findings in incompressible boundary layers.