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Computation of unsteady flow past a biomimetic fin

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Abstract

The unsteady hydrodynamics of a biomimetic fin attached to a cylindrical body has been studied numerically using a computational fluid dynamic (CFD) simulator based on an in-house solver of the Navier-Stokes equations, combined with a recently developed multi-block, overset grid method. The fin-body CFD model is based on a mechanical pectoral fin device, which consists of a cylindrical body and an asymmetric fin and can mimic flapping, rowing and feathering motions of the pectoral fins in fishes. First the multi-block, overset grid method incorporated into the NS solver was verified through an extensive study of unsteady flows past a single fin undergoing rowing and feathering motion. Then unsteady flows past the biomimetic fin-body model undergoing the same motions were computed and compared with the measurements of forces of the mechanical pectoral fin, which shows good agreement in both time-varying and time-averaged hydrodynamic forces. The relationship between force generation and vortex dynamics points to the importance of the match in fin kinematics between power and recovery strokes and implies that an optimal selection of parameters of phase lags between and amplitudes of rowing and feathering motions can improve the performance of labriform propulsion in terms of either maximum force generation or minimum mechanical power.

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References

  1. Wu T Y. Hydrodynamics of swimming propulsion. Part 3. Swimming and optimum movements of slender fish with side fins. Journal of Fluid Mechanics, 1971, 46 (3): 545–568.

    Article  MATH  Google Scholar 

  2. Lighthill M J. Mathematical Biofluiddynamics. SIAM, Philadephia, 1975.

    Book  MATH  Google Scholar 

  3. Alexander R. McN. The history of fish biomechanics. In Webb, P W, and Weihs, D., (eds.), Fish Biomechanics, 1983: 1–35.

  4. Cheng J Y, Zhuang L X, Tong B G. Analysis of swimming three-dimensional waving plates. Journal of Fluid Mechanics, 1991, 232: 341–355.

    Article  MathSciNet  MATH  Google Scholar 

  5. Triantafyllou M S, Triantafyllou G S. An efficient swimming machine. Scientific American, 1995, 3: 1–26.

    Google Scholar 

  6. Liu H, Kawachi K. A numerical study of undulatory swimming. Journal of Computational Physics, 1999, 155: 223–247.

    Article  MATH  Google Scholar 

  7. Kato N. Hydrodynamic characteristics of a mechanical pectoral fin. ASME Journal of Fluids Engineering, 1999, 121: 605–613.

    Article  Google Scholar 

  8. Kato N, Bugi Wiku W, Suzuki Y. Hydrodynamic characteristics of three-motor-driven mechanical pectoral fin and its application to an autonomous underwater vehicle. Journal of the Society of Japan Naval Architects, 2000, 188: 367–375.

    Article  Google Scholar 

  9. Webb P W. Maneuverability versus stability? How do fish perform well in both? Proc Int Seminar on Aqua Bio — Mechanisms, 2000: 21–29.

    Google Scholar 

  10. Walker J A, Westneat M W. Mechanical performance of aquatic rowing and flying. Proc R Soc Lond, 2000, B. 267: 1875–1881.

  11. Bandyopadhyay P R. Maneuvering hydrodynamics of fish and small underwater vehicles. Integrative and Comparative Biology of American Zoologist, 2002, 42: 102–117.

    Article  Google Scholar 

  12. Anderson J M, Chhabra N K. Maneuvering and stability performance of a robotic tuna. Integrative and Comparative Biology of American Zoologist, 2002, 42: 118–126.

    Article  Google Scholar 

  13. Blake R W. Median and paired fin propulsion. In Webb, P W, Weihs, D., (eds.), Fish Biomechanics, 1983: 214–247.

  14. Walker J A, Westneat M W. Performance limits of labri-form propulsion and correlates with fin shape and motion. Journal of Experimental Biology, 2002: 205.

  15. Benek J A, Steger J L, Dougherty F C. A 3D Chimera grid embedding technique. AIAA Paper, 1985, A85–40955.

    Google Scholar 

  16. Prewitt N C, Belk D M, Shyy W. Parallel computing of overset grids for aerodynamic problems with moving objects. Progress in Aerospace Sciences, 2000, 36: 117–172.

    Article  Google Scholar 

  17. Triantafyllou G S, Triantafyllou M S, Grosenbaugh M A. Optimal thrust development in oscillating foils with application to fish propulsion. Journal of Fluid and Structure, 1993, 7: 205–224.

    Article  Google Scholar 

  18. Ramamurti R, Sandberg W C. Simulation of flow about falpping airfoils using a finite element incompressible flow solver. AIAA J, 2001, 39(2): 253–260.

    Article  Google Scholar 

  19. Liu H, Wassersug R, Kawachi K. The three-dimensional hydrodynamics of tadpole locomotion. Journal of Experimental Biology, 1997, 200: 2807–2819.

    Google Scholar 

  20. Liu H, Ellington C P, Kawachi K, Van Den Berg C, Willmott A P. A computational fluid dynamic study of hawkmoth hovering. Journal of Experimental Biology, 1998, 201: 461–477.

    Google Scholar 

  21. Dickinson M H, Lehman F O, Sane S P. Wing rotation and the aerodynamic basis of insect flight. Science, 1999, 284: 1954–1960.

    Article  Google Scholar 

  22. Sun M, Tang J. Unsteady aerodynamic force generation by a model fruit fly wing in flapping motion. Journal of Experimental Biology, 2002, 205: 55–70.

    Google Scholar 

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Correspondence to Hao Liu.

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Liu, H., Kato, N. Computation of unsteady flow past a biomimetic fin. J Bionic Eng 1, 108–120 (2004). https://doi.org/10.1007/BF03399461

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  • DOI: https://doi.org/10.1007/BF03399461

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