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Reduction of turbulent skin-friction drag by passively rotating discs

Published online by Cambridge University Press:  22 July 2021

Paolo Olivucci Open the ORCID record for Paolo Olivucci [Opens in a new window] ,
Daniel J. Wise Open the ORCID record for Daniel J. Wise [Opens in a new window]  and
Pierre Ricco Open the ORCID record for Pierre Ricco [Opens in a new window]
Paolo Olivucci
Affiliation:
Department of Mechanical Engineering, University of Sheffield, SheffieldS1 3JD, UK
Daniel J. Wise
Affiliation:
Department of Fluid Dynamics, A*Star Institute of High Performance Computing, Singapore138632, Republic of Singapore
Pierre Ricco*
Affiliation:
Department of Mechanical Engineering, University of Sheffield, SheffieldS1 3JD, UK
*
†Email address for correspondence: [email protected]
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Abstract

A turbulent channel flow modified by the motion of discs that are free to rotate under the action of wall turbulence is studied numerically. The Navier–Stokes equations are coupled nonlinearly with the dynamical equation of the disc motion, which synthesizes the fluid-flow boundary conditions and is driven by the torque exerted by the wall-shear stress. We consider discs that are fully exposed to the fluid and discs for which only half of the surface interfaces the fluid. The disc motion is thwarted by the fluid torque in the housing cavity and by the torque of the ball bearing that supports the disc. For the full discs, no drag reduction occurs because of the small angular velocities. The most energetic disc response occurs for disc diameters that are comparable with the spanwise spacing of the low-speed streaks. A perturbation analysis for small disc-tip velocities reveals that the two-way nonlinear coupling has an intense attenuating effect on the disc response. The reduced-order results show excellent agreement with the nonlinear results for large diameters. The half discs rotate with a finite angular velocity, leading to large reduction of the turbulence activity and of the skin-friction drag over the spinning portion of the discs, while the maximum drag reduction over the entire walls is 5.6 %. The dependence of the drag reduction on the wall-slip velocity and the spatial distribution of the wall-shear stress qualitatively match results based on the only available experimental data.

JFM classification

Flow Control: Drag reduction Turbulent Flows: Turbulence control Boundary Layers: Boundary layer control
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 923 , 25 September 2021 , A8
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

REFERENCES

Aghdam, S.K. & Ricco, P. 2016 Laminar and turbulent flows over hydrophobic surfaces with shear-dependent slip length. Phys. Fluids 28 (3), 035109.CrossRefGoogle Scholar
Åström, K.J. & Murray, R.M. 2008 Feedback Systems: An Introduction for Scientists and Engineers. Princeton University Press.CrossRefGoogle Scholar
Bechert, D.W., Hage, W. & Brusek, M. 1996 Drag reduction with the slip wall. AIAA J. 34 (5), 1072–1074.CrossRefGoogle Scholar
Blesbois, O., Chernyshenko, S.I., Touber, E. & Leschziner, M.A. 2013 Pattern prediction by linear analysis of turbulent flow with drag reduction by wall oscillation. J. Fluid Mech. 724, 607–641.CrossRefGoogle Scholar
Busse, A. & Sandham, N.D. 2012 Influence of an anisotropic slip-length boundary condition on turbulent channel flow. Phys. Fluids 24 (5), 055111.CrossRefGoogle Scholar
Choi, K.-S. 2002 Near-wall structure of turbulent boundary layer with spanwise-wall oscillation. Phys. Fluids 14 (7), 2530–2542.CrossRefGoogle Scholar
Choi, K.-S., Yang, X., Clayton, B.R., Glover, E.J., Atlar, M., Semenov, B.N. & Kulik, V.M. 1997 Turbulent drag reduction using compliant surfaces. Proc. R. Soc. Lond. A 453 (1965), 2229–2240.CrossRefGoogle Scholar
Davidson, P.A. 2004 Turbulence: An Introduction for Scientists and Engineers. Oxford University Press.Google Scholar
García-Mayoral, R. & Jiménez, J. 2011 Drag reduction by riblets. Phil. Trans. R. Soc. A 369 (1940), 1412–1427.CrossRefGoogle ScholarPubMed
Ghebali, S., Chernyshenko, S.I. & Leschziner, M.A. 2017 Can large-scale oblique undulations on a solid wall reduce the turbulent drag? Phys. Fluids 29 (10), 105102.CrossRefGoogle Scholar
de Giovanetti, M., Hwang, Y. & Choi, H. 2016 Skin-friction generation by attached eddies in turbulent channel flow. J. Fluid Mech. 808, 511–538.CrossRefGoogle Scholar
Hinze, J.O. 1975 Turbulence, 2nd edn. McGraw Hill.Google Scholar
Hu, Z.W., Morfey, C.L. & Sandham, N.D. 2006 Wall pressure and shear stress spectra from direct simulations of channel flow. AIAA J. 44 (7), 1541–1549.CrossRefGoogle Scholar
Jeong, J. & Hussain, F. 1995 On the identification of a vortex. J. Fluid Mech. 285, 69–94.CrossRefGoogle Scholar
Józsa, T.I., Balaras, E., Kashtalyan, M., Borthwick, A.G.L. & Viola, I.M. 2019 Active and passive in-plane wall fluctuations in turbulent channel flows. J. Fluid Mech. 866, 689–720.CrossRefGoogle Scholar
Jung, W.J., Mangiavacchi, N. & Akhavan, R. 1992 Suppression of turbulence in wall-bounded flows by high-frequency spanwise oscillations. Phys. Fluids A 4 (8), 1605–1607.CrossRefGoogle Scholar
Kline, S.J., Reynolds, W.C., Schraub, F.A. & Runstadler, P.W. 1967 The structure of turbulent boundary layers. J. Fluid Mech. 30, 741–773.CrossRefGoogle Scholar
Koch, H. & Kozulovic, D. 2013 Drag reduction by boundary layer control with passively moving wall. In ASME 2013 Fluids Engineering Division Summer Meeting, pp. V01BT15A004–V01BT15A004. American Society of Mechanical Engineers.Google Scholar
Koch, H. & Kozulovic, D. 2014 Influence of geometry variations on the boundary layer control with a passively moving wall. In AIAA SciTech Forum, 52nd Aerospace Sciences Meeting, p. 0401.Google Scholar
Laizet, S. & Lamballais, E. 2009 High-order compact schemes for incompressible flows: a simple and efficient method with quasi-spectral accuracy. J. Comput. Phys. 228, 5989–6015.CrossRefGoogle Scholar
Laizet, S. & Li, N. 2011 Incompact3d: a powerful tool to tackle turbulence problems with up to $O$($10^5$) computational cores. Intl J. Numer. Meth. Fluids 67, 1735–1757.CrossRefGoogle Scholar
Larsson, L. & Raven, H.C. 2010 Ship Resistance and Flow. Society of Naval Architects and Marine Engineers.Google Scholar
Leschziner, M.A., Choi, H. & Choi, K.-S. 2011 Flow-control approaches to drag reduction in aerodynamics: progress and prospects. Phil. Trans. R. Soc. A 369 (1940), 1349–1351.CrossRefGoogle ScholarPubMed
Mahfoze, O., Laizet, S. & Wynn, A. 2018 Bayesian optimisation of intermittent wall blowing for drag reduction of a spatially evolving turbulent boundary layer. In 10th International Conference in Computational Fluid Dynamics, Barcelona, Spain.Google Scholar
Marensi, E., Ding, Z., Willis, A.P. & Kerswell, R.R. 2020 Designing a minimal baffle to destabilise turbulence in pipe flows. J. Fluid Mech. 900, A31.CrossRefGoogle Scholar
Min, T. & Kim, J. 2004 Effects of hydrophobic surface on skin-friction drag. Phys. Fluids 16 (7), L55–L58.CrossRefGoogle Scholar
van Nesselrooij, M., Veldhuis, L.L.M., van Oudheusden, B.W. & Schrijer, F.F.J. 2016 Drag reduction by means of dimpled surfaces in turbulent boundary layers. Exp. Fluids 57 (9), 142.CrossRefGoogle Scholar
Olivucci, P., Ricco, P. & Aghdam, S.K. 2019 Turbulent drag reduction by rotating rings and wall-distributed actuation. Phys. Rev. Fluids 4 (9), 093904.CrossRefGoogle Scholar
Orlandi, P. 2012 Fluid Flow Phenomena: A Numerical Toolkit. Springer Science & Business Media.Google Scholar
Quadrio, M. 2011 Drag reduction in turbulent boundary layers by in-plane wall motion. Phil. Trans. R. Soc. A 369 (1940), 1428–1442.CrossRefGoogle ScholarPubMed
Quadrio, M. & Ricco, P. 2004 Critical assessment of turbulent drag reduction through spanwise wall oscillations. J. Fluid Mech. 521, 251–271.CrossRefGoogle Scholar
Quadrio, M. & Ricco, P. 2011 The laminar generalized Stokes layer and turbulent drag reduction. J. Fluid Mech. 667, 135–157.CrossRefGoogle Scholar
Quadrio, M., Ricco, P. & Viotti, C. 2009 Streamwise-travelling waves of spanwise wall velocity for turbulent drag reduction. J. Fluid Mech. 627, 161–178.CrossRefGoogle Scholar
Rastegari, A. & Akhavan, R. 2018 The common mechanism of turbulent skin-friction drag reduction with superhydrophobic longitudinal microgrooves and riblets. J. Fluid Mech. 838, 68–104.CrossRefGoogle Scholar
Reneaux, D. 2004 Overview on drag reduction technologies for civil transport aircraft. In European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS), pp. 24–28.Google Scholar
Ricco, P. & Hahn, S. 2013 Turbulent drag reduction through rotating discs. J. Fluid Mech. 722, 267–290.CrossRefGoogle Scholar
Ricco, P., Ottonelli, C., Hasegawa, Y. & Quadrio, M. 2012 Changes in turbulent dissipation in a channel flow with oscillating walls. J. Fluid Mech. 700, 77–104.CrossRefGoogle Scholar
Ricco, P. & Quadrio, M. 2008 Wall-oscillation conditions for drag reduction in turbulent channel flow. Intl J. Heat Fluid Flow 29, 601–612.CrossRefGoogle Scholar
Skote, M. 2011 Turbulent boundary layer flow subject to streamwise oscillation of spanwise wall-velocity. Phys. Fluids 23, 081703.CrossRefGoogle Scholar
Viotti, C., Quadrio, M. & Luchini, P. 2009 Streamwise oscillation of spanwise velocity at the wall of a channel for turbulent drag reduction. Phys. Fluids 21 (11), 115109.CrossRefGoogle Scholar
Wise, D.J., Alvarenga, C. & Ricco, P. 2014 Spinning out of control: wall turbulence over rotating discs. Phys. Fluids 26 (12), 125107.CrossRefGoogle Scholar
Wise, D.J. & Ricco, P. 2014 Turbulent drag reduction through oscillating discs. J. Fluid Mech. 746, 536–564.CrossRefGoogle Scholar
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