Experimental investigation of secondary flows in rough-wall boundary layers
Experimental Fluid Mechanics
Takfarinas Medjnoun, Christina Vanderwel, Bharath Ganpathisubramani
In this project, turbulent secondary flows growing in turbulent boundary layers are of interest. To this end, a series of measurement campaigns involving turbulent boundary layers developing over smooth heterogeneous surfaces are carried out to examine the mean flow and turbulence characteristics, and to document the variation of skin friction that might affect the applicability of traditional scaling and similarity laws. The heterogeneity is imposed along the spanwise direction and consists of streamwise-aligned smooth raised strips whose spanwise spacing S is comparable to the boundary-layer thickness. Single-point velocity measurements alongside direct skin-friction measurements are used to examine the validity of Townsend’s similarity hypothesis. The skin-friction coefficients reveal that the drag of the heterogeneous surface increased up to 35% compared to a smooth wall, while velocity measurements reveal the existence of a log layer but with a zero-plane displacement and a roughness function that vary across the spanwise direction. Lack of collapse in the outer region of the mean velocity and variance profiles is attributed to the secondary flows induced by the heterogeneous surfaces. Additionally, the lack of similarity also extends to the spectra across all scales in the near-wall region with a gradual collapse at small wavelengths for increasing S. This suggests that the effect of surface heterogeneity is not necessarily felt at the smaller scales other than to reorganise their presence through turbulent transport.
This work has been published in Journal of Fluid Mechanics (see https://doi.org/10.1017/jfm.2017.849).
Figure: Premultiplied streamwise energy spectrograms for three spacing at (a-left) the peak and (b-right) at the valley for three different spacings S = 40, 80 and 160 mm at matched Re_x. The black-dashed lines mark the wall-normal location at y+ = 100 and the red-dashed lines at the wall-normal location y/delta = 0.2.