Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-26T05:21:09.041Z Has data issue: false hasContentIssue false
  • English
  • Français

Turbulent drag reduction through rotating discs

Published online by Cambridge University Press:  28 March 2013

Pierre Ricco  and
Stanislav Hahn
Pierre Ricco*
Affiliation:
Department of Mechanical Engineering, The University of Sheffield, Mappin Street, Sheffield S1 3JD, UK
Stanislav Hahn
Affiliation:
Honeywell Turbo Technologies, Turanka 100/1236, Brno, Czech Republic
*
†Email address for correspondence: p.ricco@sheffield.ac.uk
Get access Rights & Permissions [Opens in a new window]

Abstract

An active technique for friction drag reduction in a turbulent channel flow is studied by direct numerical simulations. The flow modification is induced by the steady rotation of rigid flush-mounted discs, located next to one another on the walls. The effect of the disc motion on the turbulent drag is investigated at a Reynolds number of ${R}_{\tau } = 180$ , based on the friction velocity of the stationary-wall case and the half channel height. For a fixed maximum disc tip velocity, drag reduction can be achieved when the disc diameter is larger than a threshold, while below this threshold the drag increases. A maximum drag reduction of 23% is computed. The net power saved, obtained by taking into account the power spent to enforce the rotational motion against the fluid viscous resistance, is found to be positive and reach 10%. The disc-flow parameters required for commercial aircraft flight conditions and flows over high-speed trains and ship hulls are estimated and future implementations based on existing micro-electromagnetic motor and micro-air turbine technologies are discussed.

JFM classification

Flow Control: Drag reduction Flow Control: Flow Control Turbulent Flows: Turbulent boundary layers
Type
Papers
Information
Journal of Fluid Mechanics , Volume 722 , 10 May 2013 , pp. 267 - 290
Copyright
©2013 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ascher, U. M., Ruuth, S. J. & Wetton, B. T. R. 1995 Implicit-explicit methods for time-dependent partial differential equations. SIAM J. Numer. Anal. 32, 797–823.Google Scholar
Auteri, F., Baron, A., Belan, M., Campanardi, G. & Quadrio, M. 2010 Experimental assessment of turbulent drag reduction by travelling waves in a turbulent pipe flow. Phys. Fluids 22, 115103/14.Google Scholar
Canuto, C., Hussaini, M. Y., Quarteroni, A. & Zang, T. A. 1988 Spectral Methods in Fluid Dynamics. Springer.Google Scholar
Choi, K.-S. 2002 Near-wall structure of turbulent boundary layer with spanwise-wall oscillation. Phys. Fluids 14 (7), 2530–2542.Google Scholar
Choi, K.-S. & Clayton, B. R. 2001 The mechanism of turbulent drag reduction with wall oscillation. Intl J. Heat Fluid Flow 22, 1–9.Google Scholar
Choi, K.-S., DeBisschop, J. R. & Clayton, B. R. 1998 Turbulent boundary-layer control by means of spanwise-wall oscillation. AIAA J. 36 (7), 1157–1162.Google Scholar
Dhanak, M. R. & Si, C. 1999 On reduction of turbulent wall friction through spanwise oscillations. J. Fluid Mech. 383, 175–195.Google Scholar
Duque-Daza, C. A., Baig, M. F., Lockerby, D. A., Chernyshenko, S. I. & Davies, C. 2012 Modelling turbulent skin-friction control using linearized Navier-Stokes equations. J. Fluid Mech. 702, 403–414.Google Scholar
Frechette, L. G., Jacobson, S. A., Breuer, K. S., Ehrich, F. F., Ghodssi, R., Khanna, R., Wong, C. W., Zhang, X., Schmidt, M. A. & Epstein, A. H. 2005 High-speed microfabricated silicon turbomachinery and fluid film bearings. J. Microel. Sys. 14 (1), 141–152.Google Scholar
Fukagata, K., Iwamoto, K. & Kasagi, N. 2002 Contribution of Reynolds stress distribution to the skin friction in wall-bounded flows. Phys. Fluids 14 (11), 73–76.Google Scholar
Gad-el Hak, M. 2002 Compliant coatings for drag reduction. Prog. Aerosp. Sci. 38, 77–99.Google Scholar
Gatti, D. 2011 Turbulent drag reduction at moderate Reynolds number via spanwise velocity waves. Master’s thesis, Politecnico di Milano.Google Scholar
Gibson, J. F. 2006 Channelflow: a spectral Navier-Stokes simulator in C++. http://www.channelflow.org/.Google Scholar
Gibson, J. F., Halcrow, J. & Cvitanovic, P. 2008 Visualizing the geometry of state space in plane Couette flow. J. Fluid Mech. 611, 107–130.Google Scholar
Gouder, K., Potter, M. & Morrison, J. F. 2013 Turbulent friction drag reduction using electroactive polymer and electromagnetically driven surfaces. Exp. Fluids 54, 1–12.Google Scholar
Hinze, J. O. 1975 Turbulence, 2nd edn. McGraw Hill.Google Scholar
Iwamoto, K., Suzuki, Y. & Kasagi, N. 2002 Reynolds number effect on wall turbulence: toward effective feedback control. Intl J. Heat Fluid Flow 14 (11), 73–76.Google 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.Google Scholar
Kannepalli, C. & Piomelli, U. 2000 Large-eddy simulation of a three-dimensional shear-driven turbulent boundary layer. J. Fluid Mech. 423, 175–203.Google Scholar
Kasagi, N., Suzuki, Y. & Fukagata, K. 2009 Micromechanical systems-based feedback control of turbulence for skin friction reduction. Annu. Rev. Fluid Mech. 41, 231–251.Google Scholar
Keefe, L. 1997 A normal vorticity actuator for near-wall modification of turbulent shear flows. AIAA Paper 97-0547.Google Scholar
Keefe, L. 1998 Method and apparatus for reducing the drag of flows over surfaces. United States Patent 5,803,409.Google Scholar
Kim, J., Moin, P. & Moser, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133–166.Google Scholar
Kleiser, L. & Schumann, U. 1980 Treatment of incompressibility and boundary conditions in 3-D numerical spectral simulations of plane channel flows. In Proceedings of 3rd GAMM Conference Numerical Methods in Fluid Mechanics (ed. Hirschel, E.), pp. 165–173. GAMM, Vieweg.Google Scholar
Kuang-Chen Liu, D., Friend, J. & Yeo, L. 2010 A brief review of actuation at the micro-scale using electrostatics, electromagnetics and piezoelectric ultrasonics. Acoust. Sci. Tech. 31, 115–123.Google Scholar
Lesieur, M. 1997 Turbulence in Fluids, 3rd edn. Kluwer.Google Scholar
Moarref, R. & Jovanovic, M. R. 2012 Model-based design of transverse wall oscillations for turbulent drag reduction. J. Fluid Mech. 707, 205–240.Google Scholar
Pope, S. B. 2000 Turbulent Flows. Cambridge University Press.Google Scholar
Quadrio, M. & Ricco, P. 2004 Critical assessment of turbulent drag reduction through spanwise wall oscillations. J. Fluid Mech. 521, 251–271.Google Scholar
Quadrio, M. & Ricco, P. 2011 The laminar generalized Stokes layer and turbulent drag reduction. J. Fluid Mech. 667, 135–157.Google 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.Google Scholar
Ricco, P. 2004 Modification of near-wall turbulence due to spanwise wall oscillations. J. Turbul. 5, 024.Google 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.Google Scholar
Rogers, M. H. & Lance, G. N. 1960 The rotationally symmetric flow of a viscous fluid in the presence of an infinite rotating disk. J. Fluid Mech. 7 (4), 617–631.Google Scholar
Sharma, A. S., Morrison, J. F., McKeon, B. J., Limebeer, D. J. N., Koberg, W. H. & Sherwin, S. J. 2011 Relaminarisation of $Re= 100$ channel flow with globally stabilising linear feedback control. Phys. Fluids 23, 125105.Google Scholar
Skote, M. 2012 Temporal and spatial transients in turbulent boundary layer flow over an oscillating wall. Intl J. Heat Fluid Flow 38, 1–12.Google Scholar
Touber, E. & Leschziner, M. A. 2012 Near-wall streak modification by spanwise oscillatory wall motion and drag-reduction mechanisms. J. Fluid Mech. 693, 150–200.Google 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, 115109.Google Scholar
Viswanath, P. R. 2002 Aircraft viscous drag reduction using riblets. Prog. Aerosp. Sci. 38, 571–600.Google Scholar
Wang, C. Y. 1989 Shear flow over a rotating plate. Appl. Sci. Res. 46, 89–96.Google Scholar
Willis, A. P., Hwang, Y. & Cossu, C. 2010 Optimally amplified large-scale streaks and drag reduction in turbulent pipe flow. E 82, 036321.Google Scholar
Yoshino, T., Suzuki, Y. & Kasagi, N. 2008 Drag reduction of turbulence air channel flow with distributed micro-sensors and actuators. J. Fluid Sci. Technol. 3, 137–148.Google Scholar