This Letter describes an experimental investigation of the response of a turbulent boundary layer on a flat plate to a local spanwise oscillation of the wall, with a nondimensional frequency f+ varying between 0.0033 and 0.0166. The investigation has been carried out for a wall motion amplitude Δz+=160. The three components of the turbulence intensities and the Reynolds stress prove to be a decreasing function of the frequency. This reduction affects almost the whole boundary layer in a cross section located at the middle of the oscillating wall. The mean streamwise velocity Ū is reduced throughout the region y+<30. The velocity profiles exhibit a well-defined log region when plotted against y, nondimensionalized with the friction velocity of the unperturbed boundary layer. The weighted probability density functions of u and v exhibit an increase in intensities of wallward motion related to changes in the structure of the oscillatory flow. The fine structure of the turbulence is also affected by the spanwise oscillation as shown by the reduction of Taylor’s microscale.
The evolution with Reynolds number of the dissipation function, normalized by
wall variables, is investigated using direct numerical simulation (DNS)
databases for incompressible turbulent Poiseuille flow in a plane channel, at
friction Reynolds numbers up to Re\tau = 2000. DNS results show that the mean
part, directly dissipated by the mean flow, reaches a constant value while the
turbulent part, converted into turbulent kinetic energy before being
dissipated, follows a logarithmic law. This result shows that the logarithmic
law of friction can be obtained without any assumption on the mean velocity
distribution. The proposed law is in good agreement with experimental results
in plane-channel and boundary layer flows
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