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Wake Structure and Swimming Performance of the Cownose Ray

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Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSPOLIMI)

Abstract

This chapter describes the kinematics of cownose ray swimming, relating it to fin geometry and skeletal structure. The equation of the deformed fin surface is presented, and the influence of different kinematic parameters on fin movement is analyzed. The numerical implementation of the CFD model of cownose ray swimming is presented, and finally, the results are analyzed, highlighting how the swimming performances and the wake structure change according to different kinematic parameters. The main parameters that affect swimming performances are frequency and wavelength of fin motion and frequency resulted in being proportional to the swimming velocity, and it did not affect the dimensionless parameters like energy efficiency and the Strouhal number, whereas a variation in wavelength implies changing the angle of attack of the fin, resulting in a different flow and strongly affecting all swimming performances. The vortices in the wake form a Reverse Karman Street, and vortex rings are connected like in a chain, similarly to other swimming animals, and for some wavelengths, a leading-edge vortex can be observed too. The energy efficiency is one of the highest among fishes, reaching 89% for the best combination of parameters, and the Strouhal number of most analyzed swimming motions is comprised between 0.2 and 0.4.

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References

  1. Liu G, Ren Y, Zhu J, Bart-Smith H, Dong H (2015) Thrust producing mechanisms in ray-inspired underwater vehicle propulsion. Theor Appl Mech Lett 5:54–57

    CrossRef  Google Scholar 

  2. Fish FE, Schreiber CM, Moored KW, Liu G, Dong H, Bart-Smith H (2016) Hydrodynamic performance of aquatic flapping: efficiency of underwater flight in the manta. Aerospace 3(20):3030020

    Google Scholar 

  3. Lighthill MJ (1969) Hydromechanics of aquatic animal propulsion. Ann Rev Fluid Mech 1:413–446

    CrossRef  Google Scholar 

  4. Eloy C (2012) Optimal strouhal number for swimming animals. J Fluids Struct 30:205–218

    CrossRef  Google Scholar 

  5. Anderson JM, Streitlien K, Barrett DS, Triantafyllou MS (1998) Oscillating foils of high propulsive efficiency. J Fluid Mech 360:41–72

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Schnipper T, Andersen A, Bohr T (2009) Vortex wakes of a flapping foil. J Fluid Mech 633:411–423

    CrossRef  MATH  Google Scholar 

  7. Clark RP, Smits AJ (2006) Thrust production and wake structure of a batoid-inspired oscillating fin. J Fluid Mech 562:415–429

    CrossRef  MATH  Google Scholar 

  8. Dewey PA, Carriou A, Smits AJ (2012) On the relationship between efficiency and wake structure of a batoid-inspired oscillating fin. J Fluid Mech 691:245–266

    CrossRef  MATH  Google Scholar 

  9. Bottom RG, Borazjani I, Blevins EL, Lauder GV (2016) Hydrodynamics of swimming in stingrays: numerical simulations and the role of the leading-edge vortex. J Fluid Mech 788:407–443

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Borazjani I, Daghooghi M (2012) The fish tail motion forms an attached leading edge vortex. Proc R Soc B 280:20122071

    CrossRef  Google Scholar 

  11. Lu H, Yeoy KS, Chew C (2018) Effect of pectoral fin kinematics on manta ray propulsion. Mod Phys Lett B 32(12):1840025

    CrossRef  MathSciNet  Google Scholar 

  12. Rosemberger LJ (2001) Pectoral fin locomotion in batoid fishes: undulation versus oscillation. J Exp Biol 204:379–394

    CrossRef  Google Scholar 

  13. Russo RS, Blemker SS, Fish FE, Bart-Smith H (2015) Biomechanical model of batoid (skates and rays) pectoral fins predicts the influence of skeletal structure on fin kinematics: implications for bio-inspired design. Bioinspiration Biomim 10:046002

    CrossRef  Google Scholar 

  14. Huang H, Sheng C, Wu J, Wu G, Zhou C, Wang H (2021) Hydrodynamic analysis and motion simulation of fin and propeller driven manta ray robot. Appl Ocean Res 108:102528

    CrossRef  Google Scholar 

  15. Wu TY (1960) Swimming of a waving plate. J Fluid Mech 10:321–344

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. Eldredge Jeff D, Jones Anya R (2019) Leading-edge vortices: mechanics and modeling. Ann Rev Fluid Mech 51:75–104

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. Taylor GK, Nudds RL, Thomas ALR (2003) Flying and swimming animals cruise at a strouhal number tuned for high power efficiency. Lett Nat 425:707–710

    CrossRef  Google Scholar 

  18. Taylor G (2018) Simple scaling law predicts peak efficiency in oscillatory propulsion. PNAS 115(32):8063–8065

    CrossRef  Google Scholar 

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Correspondence to Giovanni Bianchi .

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Bianchi, G. (2023). Wake Structure and Swimming Performance of the Cownose Ray. In: A Numerical Tool for the Analysis of Bioinspired Aquatic Locomotion. SpringerBriefs in Applied Sciences and Technology(). Springer, Cham. https://doi.org/10.1007/978-3-031-30548-1_4

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  • DOI: https://doi.org/10.1007/978-3-031-30548-1_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-30547-4

  • Online ISBN: 978-3-031-30548-1

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