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Swept wing boundary-layer receptivity to localized surface roughness

Published online by Cambridge University Press:  20 September 2012

David Tempelmann ,
Lars-Uve Schrader ,
Ardeshir Hanifi ,
Luca Brandt  and
Dan S. Henningson
David Tempelmann
Affiliation:
Linné Flow Centre, SeRC, KTH Mechanics, Stockholm, SE-100 44, Sweden
Lars-Uve Schrader
Affiliation:
Linné Flow Centre, SeRC, KTH Mechanics, Stockholm, SE-100 44, Sweden
Ardeshir Hanifi
Affiliation:
Linné Flow Centre, SeRC, KTH Mechanics, Stockholm, SE-100 44, Sweden Swedish Defence Research Agency, FOI, Stockholm, SE-164 90, Sweden
Luca Brandt
Affiliation:
Linné Flow Centre, SeRC, KTH Mechanics, Stockholm, SE-100 44, Sweden
Dan S. Henningson
Affiliation:
Linné Flow Centre, SeRC, KTH Mechanics, Stockholm, SE-100 44, Sweden
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Abstract

The receptivity to localized surface roughness of a swept-wing boundary layer is studied by direct numerical simulation (DNS) and computations using the parabolized stability equations (PSEs). The DNS is laid out to reproduce wind tunnel experiments performed by Saric and coworkers, where micron-sized cylinders were used to trigger steady crossflow modes. The amplitudes of the roughness-induced fundamental crossflow wave and its superharmonics obtained from nonlinear PSE solutions agree excellently with the DNS results. A receptivity model using the direct and adjoint PSEs is shown to provide reliable predictions of the receptivity to roughness cylinders of different heights and chordwise locations. Being robust and computationally efficient, the model is well suited as a predictive tool of receptivity in flows of practical interest. The crossflow mode amplitudes obtained based on both DNS and PSE methods are 40 % of those measured in the experiments. Additional comparisons between experimental and PSE data for various disturbance wavelengths reveal that the measured disturbance amplitudes are consistently larger than those predicted by the PSE-based receptivity model by a nearly constant factor. Supplementary DNS and PSE computations suggest that possible natural leading-edge roughness and free-stream turbulence in the experiments are unlikely to account for this discrepancy. It is more likely that experimental uncertainties in the streamwise location of the roughness array and cylinder height are responsible for the additional receptivity observed in the experiments.

JFM classification

Boundary Layers: Boundary layer receptivity Boundary Layers: Boundary layer stability
Type
Papers
Information
Journal of Fluid Mechanics , Volume 711 , 25 November 2012 , pp. 516 - 544
Copyright
Copyright © Cambridge University Press 2012

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