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The effect of spanwise wavelength of surface heterogeneity on turbulent secondary flows

Published online by Cambridge University Press:  29 April 2020

Dea D. Wangsawijaya Open the ORCID record for Dea D. Wangsawijaya [Opens in a new window] ,
Rio Baidya Open the ORCID record for Rio Baidya [Opens in a new window] ,
Daniel Chung Open the ORCID record for Daniel Chung [Opens in a new window] ,
Ivan Marusic  and
Nicholas Hutchins
Dea D. Wangsawijaya*
Affiliation:
Department of Mechanical Engineering, The University of Melbourne, Victoria3010, Australia
Rio Baidya
Affiliation:
Department of Mechanical Engineering, The University of Melbourne, Victoria3010, Australia Institute of Fluid Mechanics and Aerodynamics, Universität der Bundeswehr München, 85577Neubiberg, Germany
Daniel Chung
Affiliation:
Department of Mechanical Engineering, The University of Melbourne, Victoria3010, Australia
Ivan Marusic
Affiliation:
Department of Mechanical Engineering, The University of Melbourne, Victoria3010, Australia
Nicholas Hutchins
Affiliation:
Department of Mechanical Engineering, The University of Melbourne, Victoria3010, Australia
*
†Email address for correspondence: [email protected]
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Abstract

We examine the behaviour of turbulent boundary layers over surfaces composed of spanwise-alternating smooth and rough strips, where the width of the strips $S$ varies such that $0.32\leqslant S/\overline{\unicode[STIX]{x1D6FF}}\leqslant 6.81$, where $\overline{\unicode[STIX]{x1D6FF}}$ is the boundary-layer thickness averaged over one spanwise wavelength of the heterogeneity. The experiments are configured to examine the influences of spanwise variation in wall shear stress over a large $S/\overline{\unicode[STIX]{x1D6FF}}$ range. Hot-wire anemometry and particle image velocimetry (PIV) reveal that the half-wavelength $S/\overline{\unicode[STIX]{x1D6FF}}$ governs the diameter and strength of the resulting mean secondary flows and hence the observed isovels of the mean streamwise velocity. Three possible cases are observed: limiting cases (either $S/\overline{\unicode[STIX]{x1D6FF}}\ll 1$ or $S/\overline{\unicode[STIX]{x1D6FF}}\gg 1$), where the secondary flows are confined near the wall or near the roughness change, and intermediate cases ($S/\overline{\unicode[STIX]{x1D6FF}}\approx 1$), where the secondary flows are space filling and at their strongest. These secondary flows, however, exhibit a time-dependent behaviour which might be masked by time averaging. Further analysis of the energy spectrogram and fluctuating flow fields obtained from PIV show that the secondary flows meander in a similar manner to that of large-scale structures occurring naturally in turbulence over smooth walls. The meandering of the secondary flows is a function of $S/\overline{\unicode[STIX]{x1D6FF}}$ and is most prominent when $S/\overline{\unicode[STIX]{x1D6FF}}\approx 1$.

JFM classification

Turbulent Flows: Turbulent boundary layers
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 894 , 10 July 2020 , A7
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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