Direct numerical simulations of active drag reduction using streamwise traveling waves in compressible turbulent boundary layer flow are conducted. The flow at a momentum thickness Reynolds number of Reθ=1,000 is actuated by sinusoidal wall deflections traveling in the streamwise flow direction at wave speeds slightly above the freestream velocity. The results show a significant drag reduction, i.e., a decrease of Δcd=51.4% for a Mach number M=0.2 and Δcd=54.2% for a Mach number M=0.7. For both Mach numbers, a thrust through the pressure is obtained instead of drag, contributing to the overall drag reduction. Positive net power saving is observed, although the actuation is considerably more efficient at M=0.2 (ΔPnet=32.2%) compared to M=0.7 (ΔPnet=15.6%). The local skin-friction reduction exhibits distinct peaks at the end of the actuated region, indicating a longer transition of turbulence suppression in flow with a higher Mach number. While the Reynolds stresses are generally reduced, a stronger suppression of the streamwise stresses is observed for M=0.7.
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Albers et al. (2024) studied this question.
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