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Model-based design of riblets for turbulent drag reduction

Published online by Cambridge University Press:  10 November 2020

Wei Ran ,
Armin Zare Open the ORCID record for Armin Zare [Opens in a new window]  and
Mihailo R. Jovanović Open the ORCID record for Mihailo R. Jovanović [Opens in a new window]
Wei Ran
Affiliation:
Department of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, CA 90089, USA
Armin Zare
Affiliation:
Department of Mechanical Engineering, University of Texas at Dallas, Richardson, TX 75080, USA
Mihailo R. Jovanović*
Affiliation:
Ming Hsieh Department of Electrical and Computer Engineering, University of Southern California, Los Angeles, CA 90089, USA
*
†Email address for correspondence: mihailo@usc.edu
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Abstract

Both experiments and direct numerical simulations have been used to demonstrate that riblets can reduce turbulent drag by as much as $10\,\%$, but their systematic design remains an open challenge. In this paper we develop a model-based framework to quantify the effect of streamwise-aligned spanwise-periodic riblets on kinetic energy and skin-friction drag in turbulent channel flow. We model the effect of riblets as a volume penalization in the Navier–Stokes equations and use the statistical response of the eddy-viscosity-enhanced linearized equations to quantify the effect of background turbulence on the mean velocity and skin-friction drag. For triangular riblets, our simulation-free approach reliably predicts drag-reducing trends as well as mechanisms that lead to performance deterioration for large riblets. We investigate the effect of height and spacing on drag reduction and demonstrate a correlation between energy suppression and drag reduction for appropriately sized riblets. We also analyse the effect of riblets on drag-reduction mechanisms and turbulent flow structures including very large-scale motions. Our results demonstrate the utility of our approach in capturing the effect of riblets on turbulent flows using models that are tractable for analysis and optimization.

JFM classification

Flow Control: Drag reduction Turbulent Flows: Turbulence control Turbulent Flows: Turbulence modelling

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Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 906 , 10 January 2021 , A7
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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References

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