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Passive separation control using a self-adaptive hairy coating

Published online by Cambridge University Press:  25 May 2009

JULIEN FAVIER ,
ANTOINE DAUPTAIN ,
DAVIDE BASSO  and
ALESSANDRO BOTTARO
JULIEN FAVIER*
Affiliation:
DICAT, Universita di Genova, Via Montallegro 1, 16145 Genova, Italy
ANTOINE DAUPTAIN
Affiliation:
DICAT, Universita di Genova, Via Montallegro 1, 16145 Genova, Italy
DAVIDE BASSO
Affiliation:
DICAT, Universita di Genova, Via Montallegro 1, 16145 Genova, Italy
ALESSANDRO BOTTARO
Affiliation:
DICAT, Universita di Genova, Via Montallegro 1, 16145 Genova, Italy
*
†E-mail address for correspondence: [email protected]
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Abstract

A model of hairy medium is developed using a homogenized approach, and the fluid flow around a circular cylinder partially coated with hair is analysed by means of numerical simulations. The capability of this coating to adapt to the surrounding flow is investigated, and its benefits are discussed in the context of separation control. This fluid–structure interaction problem is solved with a partitioned approach, based on the direct resolution of the Navier–Stokes equations together with a nonlinear set of equations describing the dynamics of the coating. A volume force, arising from the presence of a cluster of hair, provides the link between the fluid and the structure problems. For the structure part, a subset of reference elements approximates the whole layer. The dynamics of these elements is governed by a set of equations based on the inertia, elasticity, interaction and losses effects of articulated rods. The configuration chosen is that of the two-dimensional flow past a circular cylinder at Re = 200, a simple and well-documented test case. Aerodynamics performances quantified by the Strouhal number, the drag and the maximum lift in the laminar unsteady regime are modified by the presence of the coating. A set of parameters corresponding to a realistic coating (length of elements, porosity, rigidity) is found, yielding an average drag reduction of 15% and a decrease of lift fluctuations by about 40%, associated to a stabilization of the wake.

JFM classification

Wakes/Jets: Wakes Flow Control: Flow Control Aerodynamics: Flow-structure interactions
Type
Papers
Information
Journal of Fluid Mechanics , Volume 627 , 25 May 2009 , pp. 451 - 483
Copyright
Copyright © Cambridge University Press 2009

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References

REFERENCES

Barone, J. R. & Schmidt, W. F. 2006 Effect of formic acid exposure on keratin fiber derived from poultry feather biomass. Bioresour. Technol. 97 (2), 233–242.CrossRefGoogle ScholarPubMed
Bechert, D. W. & Bartenwerfer, M. 1989 The viscous flow on surfaces with longitudinal ribs. J. Fluid Mech. 206, 105–129.CrossRefGoogle Scholar
Bechert, D. W., Bruse, M., Hage, W. & Meyer, R. 1997 Biological surfaces and their technological application-laboratory and in flight experiments on drag reduction and separation control. In 28th AIAA Fluid Dynamics Conference, Snowmass Village, CO.Google Scholar
Benjamin, T. B. 1960 Effects of a flexible boundary on hydro-dynamic stability. J. Fluid Mech. 9, 513–532.CrossRefGoogle Scholar
Bergmann, M., Cordier, L. & Brancher, J. P. 2005 Optimal rotary control of the cylinder wake using proper orthogonal decomposition reduced-order model. Phys. Fluids 17, 097101.CrossRefGoogle Scholar
Brücker, C., Spatz, J. & Schröder, W. 2005 Feasibility study of wall shear stress imaging using microstructured surfaces with flexible micropillars. Exp. Fluids 39 (2), 464–474.CrossRefGoogle Scholar
Bruneau, C. H. & Mortazavi, I. 2008 Numerical modelling and passive flow control using porous media. Comput. Fluids 37 (5), 488–498.CrossRefGoogle Scholar
Buis, S., Piacentini, A. & Déclat, D. 2005 PALM: a computational framework for assembling high-performance computing applications. Concurr. Comput.: Prac. Exper. 18 (2), 231–245.CrossRefGoogle Scholar
Carpenter, P. W. & Garrad, A. D. 1985 The hydrodynamic stability of flow over Kramer-type compliant surfaces. I. Tollmien–Schlichting instabilities. J. Fluid Mech. 155, 465–510.CrossRefGoogle Scholar
Carpenter, P. W. & Garrad, A. D. 1986 The hydrodynamic stability of flow over Kramer-type compliant surfaces. II. Flow-induced surface instabilities. J. Fluid Mech. 170, 199–232.CrossRefGoogle Scholar
Dauptain, A., Favier, J. & Bottaro, A. 2008 Hydrodynamics of cilary propulsion. J. Fluids Struct. 24 (8), 1156–1165.CrossRefGoogle Scholar
De Langre, E. 2006 Frequency lock-in is caused by coupled-mode flutter. J. Fluids Struct. 22 (6–7), 783–791.CrossRefGoogle Scholar
De Langre, E. 2008 Effects of wind on plants. Annu. Rev. Fluid Mech. 40, 141–168.CrossRefGoogle Scholar
Doaré, O., Moulia, B. & De Langre, E. 2004 Effect of plant interaction on wind-induced crop motion. J. Biomech. Engng 126, 146–151.CrossRefGoogle ScholarPubMed
Fish, F. E. & Lauder, G. V. 2006 Passive and active flow control by swimming fishes and mammals. Annu. Rev. Fluid Mech. 38, 193–224.CrossRefGoogle Scholar
Gad-el-Hak, M. 2000 Flow Control: Passive, Active, and Reactive Flow Management. Cambridge University PressCrossRefGoogle Scholar
Gray, J. & Sand, A. 1936 The Locomotory rhythm of the dogfish (Scyllium canicula). J. Exp. Biol. 13 (2), 200–209.CrossRefGoogle Scholar
Grosse, S. & Schröder, W. 2008 Mean wall-shear stress measurements using the micro-pillar shear-stress sensor MPS 3. Meas. Sci. Technol. 19 (1), 015403.CrossRefGoogle Scholar
He, J. W., Glowinski, R., Metcalfe, R., Nordlander, A. & Periaux, J. 2000 Active control and drag optimization for flow past a circular cylinder i. Oscillatory cylinder rotation. J. Comput. Phys. 163 (1), 83–117.CrossRefGoogle Scholar
Hœpffner, J., Bottaro, A. & Favier, J. 2009 Mechanisms of non-modal energy amplification in channel flow between compliant walls. J. Fluid Mech. Submitted.CrossRefGoogle Scholar
Howells, I. D. 1998 Drag on fixed beds of fibres in slow flow. J. Fluid Mech. 355, 163–192.CrossRefGoogle Scholar
Koch, D. L. & Ladd, A. J. C. 1997 Moderate Reynolds number flows through periodic and random arrays of aligned cylinders. J. Fluid Mech. 349, 31–66.CrossRefGoogle Scholar
Landahl, M. T. 1962 On the stability of a laminar incompressible boundary layer over a flexible surface. J. Fluid Mech. 13, 609–632.CrossRefGoogle Scholar
Lindström, S. B. & Uesaka, T. 2007 Simulation of the motion of flexible fibers in viscous fluid flow. Phys. Fluids 19, 113307.CrossRefGoogle Scholar
Luchini, P., Manzo, F. & Pozzi, A. 1991 Resistance of a grooved surface to parallel flow and cross-flow. J. Fluid Mech. 228, 87–109.Google Scholar
Mehta, R. D. & Pallis, J. M. 2001 The aerodynamics of a tennis ball. Sports Engng 4 (4), 177–189.CrossRefGoogle Scholar
Meyer, R., Hage, W., Bechert, D. W., Schatz, M., Knacke, T. & Thiele, F. 2007 Separation control by self-activated movable flaps. AIAA J. 45 (1), 191–199.CrossRefGoogle Scholar
van Nierop, E. A., Alben, S. & Brenner, M. P. 2008 How bumps on whale flippers delay stall: an aerodynamic model. Phys. Rev. Lett. 100 (5), 54502.CrossRefGoogle ScholarPubMed
Pastoor, M., Henning, L., Noack, B. R., King, R. & Tadmor, G. 2008 Feedback shear layer control for bluff body drag reduction. J. Fluid Mech. 608, 161–196.CrossRefGoogle Scholar
Peskin, C. S. 2002 The immersed boundary method. Acta Numerica 11, 479–517.CrossRefGoogle Scholar
Py, C., De Langre, E. & Moulia, B. 2006 A frequency lock-in mechanism in the interaction between wind and crop canopies. J. Fluid Mech. 568, 425–449.CrossRefGoogle Scholar
Steele, C., Jones, R. & Leaney, P. G. 2006 Tennis ball fuzziness: assessing textile surface roughness using digital imaging. Meas. Sci. Technol. 17 (6), 1446–1455.CrossRefGoogle Scholar
Sukhodolova, T., Sukhodolov, A. & Engelhardt, C. 2004 A study of turbulent flow structure in a partly vegetated river reach. River Flow 2004; Proceedings of the Second International Conference on Fluvial Hydraulics, 23–25 June 2004, Napoli, Italy (ed. Greco, M., Carravette, A. & Morte, R. Della). Taylor & Francis Ltd 2004, pp. 469–478.Google Scholar
Viswanath, P. R. 2002 Aircraft viscous drag reduction using riblets. Prog. Aerosp. Sci. 38 (6–7), 571–600.CrossRefGoogle Scholar
Williamson, C. H. K. 1996 Vortex dynamics in the cylinder wake. Annu. Rev. Fluid Mech. 28 (1), 477–539.CrossRefGoogle Scholar
Xu, J., Maxey, M. R. & Karniadakis, G. E. M. 2002 Numerical simulation of turbulent drag reduction using micro-bubbles. J. Fluid Mech. 468, 271–281.CrossRefGoogle Scholar

Favier et al. supplementary movie

Movie 1. Top frame: instantaneous vorticity contours of the motion past a ciliated cylinder. Blue colours denote clockwise vorticity. Only reference cilia are shown in the figure, modeling a dense coating which self-adapts to the surrounding flow. Bottom frames display the time history of the drag and lift coefficients with solid lines (dashed lines represent the case without actuators).

Download Favier et al. supplementary movie(Video)
Video 3.2 MB

Favier et al. supplementary movie

Movie 2. Time history of the vertical velocity contours in the developed, periodic regime. Blue colours denote velocity directed from the top towards the bottom. The motion of the reference cilia is displayed in the top frame. The bottom frame shows scaled vectors of the force produced by the coating, which counteracts the mouvement of the fluid.

Download Favier et al. supplementary movie(Video)
Video 2.8 MB