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Energy harvesting efficiency of piezoelectric flags in axial flows

Published online by Cambridge University Press:  02 January 2013

Sébastien Michelin  and
Olivier Doaré
Sébastien Michelin*
Affiliation:
LadHyX – Département de Mécanique, Ecole Polytechnique, 91128 Palaiseau CEDEX, France
Olivier Doaré
Affiliation:
ENSTA Paristech, Unité de Mécanique, Chemin de la Hunière, 91761 Palaiseau CEDEX, France
*
†Email address for correspondence: [email protected]
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Abstract

Self-sustained oscillations resulting from fluid–solid instabilities, such as the flutter of a flexible flag in axial flow, can be used to harvest energy if one is able to convert the solid energy into electricity. Here, this is achieved using piezoelectric patches attached to the surface of the flag, which convert the solid deformation into an electric current powering purely resistive output circuits. Nonlinear numerical simulations in the slender-body limit, based on an explicit description of the coupling between the fluid–solid and electric systems, are used to determine the harvesting efficiency of the system, namely the fraction of the flow kinetic energy flux effectively used to power the output circuit, and its evolution with the system’s parameters. The role of the tuning between the characteristic frequencies of the fluid–solid and electric systems is emphasized, as well as the critical impact of the piezoelectric coupling intensity. High fluid loading, classically associated with destabilization by damping, leads to greater energy harvesting, but with a weaker robustness to flow velocity fluctuations due to the sensitivity of the flapping mode selection. This suggests that a control of this mode selection by a careful design of the output circuit could provide some opportunities to improve the efficiency and robustness of the energy harvesting process.

JFM classification

Aerodynamics: Aerodynamics Aerodynamics: Flow-structure interactions Instability: Instability
Type
Papers
Information
Journal of Fluid Mechanics , Volume 714 , 10 January 2013 , pp. 489 - 504
Copyright
©2013 Cambridge University Press

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References

Akcabay, D. T. & Young, Y. L. 2012 Hydroelastic response and energy harvesting potential of flexible piezoelectric beams in viscous flow. Phys. Fluids 24, 054106.Google Scholar
Alben, S. 2009 Simulating the dynamics of flexible bodies and vortex sheets. J. Comput. Phys. 228, 2587–2603.CrossRefGoogle Scholar
Alben, S. & Shelley, M. J. 2008 Flapping states of a flag in an inviscid fluid: bistability and the transition to chaos. Phys. Rev. Lett. 100, 074301.CrossRefGoogle Scholar
Allen, J. J. & Smits, A. J. 2001 Energy harvesting eel. J. Fluids Struct. 15, 629–640.CrossRefGoogle Scholar
Barrero-Gil, A., Alonso, G. & Sanz-Andres, A. 2010 Energy harvesting from transverse galloping. J. Sound Vib. 329 (14), 2873–2883.Google Scholar
Benjamin, T. B. 1963 The threefold classification of unstable disturbances in flexible surfaces bounding inviscid flows. J. Fluid Mech. 16 (3), 436–450.CrossRefGoogle Scholar
Bernitsas, M. M., Raghavan, K., Ben-Simon, Y. & Garcia, E. M. H. 2008 VIVACE (vortex induced vibration aquatic clean energy): a new concept in generation of clean and renewable energy from fluid flow. J. Offshore Mech. Arctic Engng 130, 041101.Google Scholar
Bisegna, P., Caruso, G. & Maceri, F. 2006 Optimized electric networks for vibration damping of piezoactuated beams. J. Sound Vib. 289 (4–5), 908–937.Google Scholar
Candelier, F., Boyer, F. & Leroyer, A. 2011 Three-dimensional extension of Lighthill’s large-amplitude elongated-body theory of fish locomotion. J. Fluid Mech. 674, 196–226.Google Scholar
Connell, B. S. H. & Yue, D. K. P. 2007 Flapping dynamics of a flag in a uniform stream. J. Fluid Mech. 581, 33–67.Google Scholar
Doaré, O. 2010 Dissipation effect on local and global stability of fluid-conveying pipes. J. Sound Vib. 329, 72–83.Google Scholar
Doaré, O. & Michelin, S. 2011 Piezoelectric coupling in energy-harvesting fluttering flexible plates: linear stability analysis and conversion efficiency. J. Fluids Struct. 27, 1357–1375.CrossRefGoogle Scholar
Dunnmon, J. A., Stanton, S. C., Mann, B. P. & Dowell, E. H. 2011 Power extraction from aeroelastic limit cycle oscillations. J. Fluids Struct. 27, 1182–1198.Google Scholar
Eloy, C., Kofman, N. & Schouveiler, L. 2012 The origin of hysteresis in the flag instability. J. Fluid Mech. 691, 583–593.Google Scholar
Eloy, C., Lagrange, R., Souilliez, C. & Schouveiler, L. 2008 Aeroelastic instability of a flexible plate in a uniform flow. J. Fluid Mech. 611, 97–106.Google Scholar
Eloy, C., Souilliez, C. & Schouveiler, L. 2007 Flutter of a rectangular plate. J. Fluids Struct. 23, 904–919.CrossRefGoogle Scholar
Giacomello, A. & Porfiri, M. 2011 Underwater energy harvesting from a heavy flag hosting ionic polymer metal composites. J. Appl. Phys. 109, 084903.Google Scholar
Kornecki, A., Dowell, E. H. & O’Brien, J. 1976 On the aeroelastic instability of two-dimensional panels in uniform incompressible flow. J. Sound Vib. 47, 163–178.Google Scholar
Lee, C. K. & Moon, F. C. 1989 Laminated piezopolymer plates for torsion and bending sensors and actuators. J. Acoust. Soc. Am. 85, 2432–2439.Google Scholar
Lefeuvre, E., Bade, A., Richard, C., Petit, L. & Guyomar, D. 2006 A comparison between several vibration-powered piezoelectric generators for standalone systems. Sensors Actuators A 126, 405–416.Google Scholar
Lighthill, M. J. 1971 Large-amplitude elongated-body theory of fish locomotion. Proc. R. Soc. B 179, 125–138.Google Scholar
Michelin, S., Llewellyn Smith, S. G. & Glover, B. J. 2008 Vortex shedding model of a flapping flag. J. Fluid Mech. 617, 1–10.CrossRefGoogle Scholar
Paidoussis, M. P. 2004 Fluid–Structure Interactions, Slender Structures and Axial Flows, vol. 2 , Academic.Google Scholar
Peng, Z. & Zhu, Q. 2009 Energy harvesting through flow-induced oscillations of a foil. Phys. Fluids 21, 123602.Google Scholar
Shelley, M., Vandenberghe, N. & Zhang, J. 2005 Heavy flags undergo spontaneous oscillations in flowing water. Phys. Rev. Lett. 94, 094302.CrossRefGoogle ScholarPubMed
Shelley, M. J. & Zhang, J. 2011 Flapping and bending bodies interacting with fluid flows. Annu. Rev. Fluid Mech. 43, 449–465.Google Scholar
Singh, K., Michelin, S. & de Langre, E. 2012a The effect of non-uniform damping on flutter in axial flow and energy harvesting strategies. Proc. R. Soc. A 468, 3620–3635.Google Scholar
Singh, K., Michelin, S. & de Langre, E. 2012b Energy harvesting from axial fluid-elastic instabilities of a cylinder. J. Fluids Struct. 30, 159–172.Google Scholar
Sodano, H. A., Inman, D. J. & Park, G. 2004 A review of power harvesting from vibration using piezoelectric materials. Shock Vib. Digest 36 (3), 197–205.CrossRefGoogle Scholar
Tang, L., Païdoussis, M. P. & Jiang, J. 2009 Cantilevered flexible plates in axial flow: energy transfer and the concept of flutter-mill. J. Sound Vib. 326, 263–276.Google Scholar
Taylor, G. I. 1952 Analysis of the swimming of long and narrow animals. Proc. R. Soc Lond. A 214, 158–183.Google Scholar
Westwood, A. 2004 Ocean power wave and tidal energy review. Refocus 5, 50–55.CrossRefGoogle Scholar