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Shape-morphing membranes augment the performance of oscillating foil energy harvesting turbines

Ilan M. L. Upfal*, Yuanhang Zhu, Eric Handy-Cardenas, and Kenneth Breuer

  • Center for Fluid Mechanics, School of Engineering, Brown University, 184 Hope St, Providence, Rhode Island 02912, USA

  • *Contact author: iupfal@mit.edu
  • Present address: University of California, Riverside.

Phys. Rev. Fluids 10, 034702 – Published 20 March, 2025

DOI: https://doi.org/10.1103/PhysRevFluids.10.034702

Abstract

Oscillating foil turbines (OFTs) can be used to produce power from rivers and tides by synchronizing their heaving motion with the strong lift force of vortices shed at their leading edge. Prior work has shown that compliant membrane OFTs, which passively camber, exhibit enhanced leading edge vortex (LEV) stability and improved lift and power compared with rigid foil OFTs for specific kinematics. This work seeks to understand (a) the performance of compliant membrane OFTs over their full kinematic parameter space and (b) separate the roles of membrane camber and extensibility in LEV stabilization. We characterize the performance of a compliant membrane OFT over a wide range of kinematic parameters through prescribed motion experiments in a free-surface water flume. The optimal frequency of the compliant membrane OFT is found to be lower than that of a rigid foil OFT due to the enhanced LEV stability of the membrane. The lift and power of compliant and inextensible membrane foils are then compared to determine whether camber alone is effective for LEV stabilization or if extensibility plays an important stabilizing role. The deformation of the compliant membrane OFT is measured using laser imaging. We observe that the role of extensibility changes for different angles of attack. At low angles of attack, membrane deformation is consistent through the half cycle coinciding with similar performance to the inextensible foil. At higher angles of attack, the compliant foil has a larger deformation and dynamically decambers corresponding with delayed stall and enhanced lift and power.

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References (45)

  1. D. C. Holzman, Blue power: Turning tides into electricity, Environ. Health Perspect. 115, A590 (2007).
  2. S. P. Neill, K. A. Haas, J. Thiébot, and Z. Yang, A review of tidal energy—Resource, feedbacks, and environmental interactions, J. Renewable Sustainable Energy 13, 062702 (2021).
  3. M. Khan, G. Bhuyan, M. Iqbal, and J. Quaicoe, Hydrokinetic energy conversion systems and assessment of horizontal and vertical axis turbines for river and tidal applications: A technology status review, Appl. Energy 86, 1823 (2009).
  4. C. Garrett and P. Cummins, The power potential of tidal currents in channels, Proc. R. Soc. A 461, 2563 (2005).
  5. M. F. Howland, S. K. Lele, and J. O. Dabiri, Wind farm power optimization through wake steering, Proc. Natl. Acad. Sci. USA 116, 14495 (2019).
  6. P. E. Koutsogiannakis, E. S. Filippas, and K. A. Belibassakis, A study of multi-component oscillating-foil hydrokinetic turbines with a gpu-accelerated boundary element method, J. Mar. Sci. Eng. 7, 424 (2019).
  7. P. Jeffcoate, R. Starzmann, B. Elsaesser, S. Scholl, and S. H. Bischoff, Field measurements of a full scale tidal turbine, Int. J. Mar. Energy 12, 3 (2015).
  8. W. McKinney and J. DeLaurier, Wingmill: An oscillating-wing windmill, J. Energy 5, 109 (1981).
  9. B. L. R. Ribeiro, Y. Su, Q. Guillaumin, K. S. Breuer, and J. A. Franck, Wake-foil interactions and energy harvesting efficiency in tandem oscillating foils, Phys. Rev. Fluids 6, 074703 (2021).
  10. T. Kinsey and G. Dumas, Optimal tandem configuration for oscillating-foils hydrokinetic turbine, J. Fluids Eng. 134, 031103 (2012).
  11. I. Fenercioglu, B. Zaloglu, J. Young, M. A. Ashraf, J. C. S. Lai, and M. F. Platzer, Flow structures around an oscillating-wing power generator, AIAA J. 53, 3316 (2015).
  12. X. Wu, X. Zhang, X. Tian, X. Li, and W. Lu, A review on fluid dynamics of flapping foils, Ocean Eng. 195, 106712 (2020).
  13. D. Kim, B. Strom, S. Mandre, and K. Breuer, Energy harvesting performance and flow structure of an oscillating hydrofoil with finite span, J. Fluids Struct. 70, 314 (2017).
  14. T. Kinsey and G. Dumas, Parametric study of an oscillating airfoil in a power-extraction regime, AIAA J. 46, 1318 (2008).
  15. T. Kinsey and G. Dumas, Testing and analysis of an oscillating hydrofoils turbine concept, in ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting: Volume 1, Symposia - Parts A, B, and C, Fluids Engineering Division Summer Meeting (American Society of Mechanical Engineers, Montreal, Canada, 2010), pp. 9–22.
  16. Y. Su and K. Breuer, Resonant response and optimal energy harvesting of an elastically mounted pitching and heaving hydrofoil, Phys. Rev. Fluids 4, 064701 (2019).
  17. Q. Xiao and Q. Zhu, A review on flow energy harvesters based on flapping foils, J. Fluids Struct. 46, 174 (2014).
  18. G. Dumas and T. Kinsey, Eulerian simulations of oscillating airfoils in power extraction regime, WIT Trans. Eng. Sci. 52, 10 (2006).
  19. Q. Zhu, Optimal frequency for flow energy harvesting of a flapping foil, J. Fluid Mech. 675, 495 (2011).
  20. B. Thwaites, The aerodynamic theory of sails. I. Two-dimensional sails, Proc. R. Soc. London A 261, 402 (1961).
  21. B. G. Newman, Aerodynamic theory for membranes and sails, Prog. Aerosp. Sci. 24, 1 (1987).
  22. G. Alon Tzezana and K. S. Breuer, Thrust, drag and wake structure in flapping compliant membrane wings, J. Fluid Mech. 862, 871 (2019).
  23. A. Das, K. S. Breuer, and V. Mathai, Nonlinear modeling and characterization of ultrasoft silicone elastomers, Appl. Phys. Lett. 116, 203702 (2020).
  24. A. Song, X. Tian, E. Israeli, R. Galvao, K. Bishop, S. Swartz, and K. Breuer, Aeromechanics of membrane wings with implications for animal flight, AIAA J. 46, 2096 (2008).
  25. P. Rojratsirikul, Z. J. Wang, and I. Gursul, Unsteady fluid–structure interactions of membrane airfoils at low Reynolds numbers, Exp. Fluids 46, 859 (2009).
  26. P. Rojratsirikul, Z. Wang, and I. Gursul, Effect of pre-strain and excess length on unsteady fluid–structure interactions of membrane airfoils, J. Fluids Struct. 26, 359 (2010).
  27. P. Rojratsirikul, M. Genc, Z. Wang, and I. Gursul, Flow-induced vibrations of low aspect ratio rectangular membrane wings, J. Fluids Struct. 27, 1296 (2011).
  28. R. M. Waldman and K. S. Breuer, Camber and aerodynamic performance of compliant membrane wings, J. Fluids Struct. 68, 390 (2017).
  29. J. Bohnker and K. Breuer, Integrated sensing of camber, aerodynamic load, and vortex structures over membrane wings, AIAA J. 61, 5032 (2023).
  30. V. Mathai, A. Das, D. L. Naylor, and K. S. Breuer, Shape-morphing dynamics of soft compliant membranes for drag and turbulence modulation, Phys. Rev. Lett. 131, 114003 (2023).
  31. Y. Lian and W. Shyy, Numerical simulations of membrane wing aerodynamics for micro air vehicle applications, J. Aircr. 42, 865 (2005).
  32. W. Shyy, P. Ifju, and D. Viieru, Membrane wing-based micro air vehicles, Appl. Mech. Rev. 58, 283 (2005).
  33. R. E. Gordnier, High fidelity computational simulation of a membrane wing airfoil, J. Fluids Struct. 21, 897 (2009).
  34. M. Molki and K. Breuer, Oscillatory motions of a prestrained compliant membrane caused by fluid-membrane interaction, J. Fluids Struct. 26, 339 (2010).
  35. R. E. Gordnier and P. J. Attar, Impact of flexibility on the aerodynamics of an aspect ratio two membrane wing, J. Fluids Struct. 45, 138 (2014).
  36. G. Li, R. K. Jaiman, and B. C. Khoo, Flow-excited membrane instability at moderate Reynolds numbers, J. Fluid Mech. 929, A40 (2021).
  37. G. Li and R. Kumar Jaiman, Unsteady aeroelastic characterization and scaling relations of flexible membrane wings, AIAA J. 61, 5042 (2023).
  38. S. Michelin and O. Doaré, Energy harvesting efficiency of piezoelectric flags in axial flows, J. Fluid Mech. 714, 489 (2013).
  39. S. Shi, T. H. New, and Y. Liu, Flapping dynamics of a low aspect-ratio energy-harvesting membrane immersed in a square cylinder wake, Exp. Therm Fluid Sci. 46, 151 (2013).
  40. Y. Yu and Y. Liu, Flapping dynamics of a piezoelectric membrane behind a circular cylinder, J. Fluids Struct. 55, 347 (2015).
  41. V. Mathai, G. A. Tzezana, A. Das, and K. S. Breuer, Fluid-structure interactions of energy-harvesting membrane hydrofoils, J. Fluid Mech. 942, R4 (2022).
  42. J. D. Anderson, Fundamentals of Aerodynamics, sixth ed., McGraw-Hill Series in Aeronautical and Aerospace Engineering (McGraw Hill Education, New York, NY, 2017).
  43. F. Karakas and I. Fenercioglu, Effect of side-walls on flapping-wing power-generation: an experimental study, J. Appl. Fluid Mech. 9, 2769 (2016).
  44. Y. Su, M. Miller, S. Mandre, and K. Breuer, Confinement effects on energy harvesting by a heaving and pitching hydrofoil, J. Fluids Struct. 84, 233 (2019).
  45. H. Ross and B. Polagye, An experimental assessment of analytical blockage corrections for turbines, Renewable Energy 152, 1328 (2020).

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