An experimental realisation of steady spanwise forcing for turbulent drag reduction

We present an experimental realisation of spatial spanwise forcing in a turbulent boundary layer flow, aimed at reducing the frictional drag. The forcing is achieved by a series of spanwise running belts, running in alternating spanwise direction, thereby generating a steady spatial square-wave forcing. Stereoscopic particle image velocimetry is used to investigate the impact of actuation on the flow in terms of turbulence statistics, performance characteristics, and spanwise velocity profiles, for a waveform of $\lambda_x^+ = 401$. An extension of the classical spatial Stokes layer theory is proposed based on the linear superposition of Fourier modes to describe the non-sinusoidal boundary condition. The experimentally obtained spanwise profiles show good agreement with the extended theoretical model. In line with reported numerical studies, we confirm that a significant flow control effect can be realised with this type of forcing. The results reveal a maximum drag reduction of 26% and a maximum net power savings of 8%. In view of the limited spatial extent of the actuation surface in the current setup, the drag reduction is expected to increase further as a result of its streamwise transient. The second-order turbulence statistics are attenuated up to a wall-normal height of $y^+ \approx 100$, with a maximum streamwise stress reduction of 44% and a reduction of integral turbulence kinetic energy production of 39%