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Turbulent drag reduction by anisotropic permeable substrates – analysis and direct numerical simulations

Published online by Cambridge University Press:  18 July 2019

G. Gómez-de-Segura Open the ORCID record for G. Gómez-de-Segura [Opens in a new window]  and
R. García-Mayoral Open the ORCID record for R. García-Mayoral [Opens in a new window]
G. Gómez-de-Segura
Affiliation:
Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, UK
R. García-Mayoral*
Affiliation:
Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, UK
*
†Email address for correspondence: r.gmayoral@eng.cam.ac.uk
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Abstract

We explore the ability of anisotropic permeable substrates to reduce turbulent skin friction, studying the influence that these substrates have on the overlying turbulence. For this, we perform direct numerical simulations of channel flows bounded by permeable substrates. The results confirm theoretical predictions, and the resulting drag curves are similar to those of riblets. For small permeabilities, the drag reduction is proportional to the difference between the streamwise and spanwise permeabilities. This linear regime breaks down for a critical value of the wall-normal permeability, beyond which the performance begins to degrade. We observe that the degradation is associated with the appearance of spanwise-coherent structures, attributed to a Kelvin–Helmholtz-like instability of the mean flow. This feature is common to a variety of obstructed flows, and linear stability analysis can be used to predict it. For large permeabilities, these structures become prevalent in the flow, outweighing the drag-reducing effect of slip and eventually leading to an increase of drag. For the substrate configurations considered, the largest drag reduction observed is ${\approx}$20–25 % at a friction Reynolds number $\unicode[STIX]{x1D6FF}^{+}=180$.

JFM classification

Flow Control: Drag reduction Turbulent Flows: Turbulent boundary layers
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 875 , 25 September 2019 , pp. 124 - 172
Copyright
© 2019 Cambridge University Press 

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