On the best design for undulatory swimming

Journal of Fluid Mechanics

Volumn 717, Issue , 2013, Pages 48-89

  Eloy, Christophe ^a,b  

^a AIX MARSEILLE UNIVERSITY   (France)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

biological fluid dynamics; swimming flying

Indexed keywords

ECONOMIC AND SOCIAL EFFECTS; FLUID DYNAMICS;

BI-OBJECTIVE OPTIMIZATION; BIOLOGICAL FLUIDS; ELLIPTIC CROSS-SECTIONS; OPTIMIZATION CALCULATION; RESISTIVE FORCES; SWIMMING/FLYING; UNDULATORY PROPULSIONS; UNDULATORY SWIMMING;

ANIMALS;

ALGORITHM; BIOMECHANICS; FLIGHT; HYDRODYNAMICS; OPTIMIZATION; PARAMETERIZATION; SWIMMING; BODY SHAPE; DESIGN; FLUID DYNAMICS;

ANIMALIA; PETROMYZONTIDAE; VERTEBRATA;

EID: 84873346813     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2012.561     Document Type: Article

References (56)

1. ABRAMOWITZ, M. & STEGUN, I. A. 1965 Handbook of Mathematical Functions. Dover.
2. ALEXANDER, R. M. 1977 Swimming. In Mechanics and Energetics of Animal Locomotion (ed. R. M. Alexander & G. Goldspink), pp. 222-248.
3. ANDERSON, E. J., MCGILLIS, W. R. & GROSENBAUGH, M. A. 2001 The boundary layer of swimming fish. J. Expl Biol. 204, 81-102.
4. BAINBRIDGE, R. 1958 The speed of swimming of fish as related to size and to the frequency and amplitude of the tail beat. J. Expl Biol. 35, 109-133.
5. BAINBRIDGE, R. 1963 Caudal fin and body movement in the propulsion of some fish. J. Expl Biol. 40, 23-56.
6. BLAKE, R. W. 1983 Fish Locomotion. Cambridge University Press.
7. BLAKE, R. W. 2004 Fish functional design and swimming performance. J. Fish Biol. 65, 1193-1222.
8. BORAZJANI, I. & SOTIROPOULOS, F. 2008 Numerical investigation of the hydrodynamics of carangiform swimming in the transitional and inertial flow regimes. J. Expl Biol. 211, 1541.
9. BRANKE, J., DEB, K., MIETTINEN, K. & SŁOWÍNSKI, R. (Eds) 2008 Multiobjective Optimization: Interactive and Evolutionary Approaches. Springer.
10. 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.
11. CHENG, J.-Y., PEDLEY, T. J. & ALTRINGHAM, J. D. 1998 A continuous dynamic beam model for swimming fish. Phil. Trans. R. Soc. Lond. B 353, 981-997.
12. CHOPRA, M. G. & KAMBE, T. 1977 Hydromechanics of lunate-tail swimming propulsion. Part 2. J. Fluid Mech. 79, 49-69.
13. CORNE, D. W., JERRAM, N. R., KNOWLES, J. D. & OATES, M. J. 2001 PESA-II: region-based selection in evolutionary multiobjective optimization. In Proceedings of the Genetic and Evolutionary Computation Conference (GECCO2001). Morgan Kaufmann.
14. CURTIN, N. A. & WOLEDGE, R. C. 1993 Efficiency of energy conversion during sinusoidal movement of red muscle fibres from the dogfish Scyliorhinus canicula. J. Expl Biol. 185, 195-206.
15. D'AÔUT, K. & AERTS, P. 1999 A kinematic comparison of forward and backward swimming in the eel Anguilla anguilla. J. Expl Biol. 202, 1511-1521.
16. DODDS, P. S., ROTHMAN, D. H. & WEITZ, J. S. 2001 Re-examination of the '3=4-law' of metabolism. J. Theor. Biol. 209, 9-27.
17. DONLEY, J. M. & DICKSON, K. A. 2000 Swimming kinematics of juvenile kawakawa tuna (Euthynnus affinis) and chub mackerel (Scomber japonicus). J. Expl Biol. 203, 3103-3116.
18. EHRENSTEIN, U. & ELOY, C. 2012 Skin friction on a moving wall and its implications for swimming animals. J. Fluid Mech. (in press).
19. ELLERBY, D. J., SPIERTS, I. L. Y. & ALTRINGHAM, J. D. 2001 Slow muscle power output of yellow-and silver-phase european eels (Anguilla anguilla L.): changes in muscle performance prior to migration. J. Expl Biol. 204, 1369-1379.
20. ELOY, C. 2012 Optimal Strouhal number for swimming animals. J. Fluids Struct. 30, 205-218.
21. ELOY, C., DOAŔE, O., DUCHEMIN, L. & SCHOUVEILER, L. 2010 A unified introduction to fluid mechanics of flying and swimming at high Reynolds number. Exp. Mech. 50, 1361-1366.
22. ELOY, C. & SCHOUVEILER, L. 2011 Optimisation of two-dimensional undulatory swimming at high Reynolds number. Intl J. Non-Linear Mech. 46, 568-576.
23. FISH, F. E. & HUI, C. A. 1991 Dolphin swimming-a review. Mammal Rev. 21, 181-195.
24. GILLIS, G. B. 1998 Environmental effects on undulatory locomotion in the American eel Anguilla rostrata: kinematics in water and on land. J. Expl Biol. 201, 949-961.
25. GRAY, J. 1933 Studies in animal locomotion. I. The movement of fish with special reference to the eel. J. Expl Biol. 10, 88-104.
26. GRAY, J. 1968 Animal Locomotion. Weidenfeld & Nicolson.
27. HESS, F. & VIDELER, J. J. 1984 Fast continuous swimming of saithe (Pollachius virens): a dynamic analysis of bending moments and muscle power. J. Expl Biol. 109, 229-251.
28. HOERNER, S. F. 1965Fluid-dynamic Drag. Published by the author.
29. HOYT, J. W. 1975 Hydrodynamic drag reduction due to fish slimes. In Swimming and Flying in Nature (ed. T. Y.-T. Wu, C. J. Brokaw & C. Brennen), vol. 2, pp. 653-672. Plenum.
30. JAYNE, B. C. & LAUDER, G. V. 1995 Speed effects on midline kinematics during steady undulatory swimming of largemouth bass, Micropterus salmoides. J. Expl Biol. 198, 585-602.
31. KERN, S. & KOUMOUTSAKOS, P. 2006 Simulations of optimized anguilliform swimming. J. Expl Biol. 209, 4841-4857.
32. LAUDER, G. V. & TYTELL, E. D. 2005 Hydrodynamics of undulatory propulsion. Fish Physiol. 23, 425-468.
33. LIGHTHILL, M. J. 1960 Note on the swimming of slender fish. J. Fluid Mech. 9, 305-317.
34. LIGHTHILL, M. J. 1969 Hydromechanics of aquatic animal propulsion. Annu. Rev. Fluid Mech. 1, 413-446.
35. LIGHTHILL, M. J. 1970 Aquatic animal propulsion of high hydromechanical efficiency. J. Fluid Mech. 44, 265-301.
36. LIGHTHILL, M. J. 1971 Large-amplitude elongated-body theory of fish locomotion. Proc. R. Soc. Lond. B 179, 125-138.
37. LINDSEY, C. C. 1978 Form, function and locomotory habits in fish. In Fish Physiology 7 (ed. W. S. Hoar & D. J. Randall), pp. 1-100. Academic.
38. LONG, J. H., KOOB-EMUNDS, M., SINWELL, B. & KOOB, T. J. 2002 The notochord of hagfish Myxine glutinosa: visco-elastic properties and mechanical functions during steady swimming. J. Expl Biol. 205, 3819-3831.
39. OTA, T. & NISHIYAMA, H. 1984 Heat transfer and flow around an elliptic cylinder. Intl J. Heat Mass Transfer 27 (10), 1771-1779.
40. ROSEN, M. W. & CORNFORD, N. E. 1971 Fluid friction of fish slimes. Nature 234, 49-51.
41. SCHLICHTING, H. 1979 Boundary-layer Theory. McGraw-Hill.
42. SCHNECK, D. J. 1992 Mechanics of Muscle, 2nd edn. New York University Press.
43. TAYLOR, G. I. 1952 Analysis of the swimming of long and narrow animals. Proc. R. Soc. Lond. A 214, 158-183.
44. TOKÍC, G & YUE, D. K. P. 2012 Optimal shape and motion of undulatory swimming organisms. Proc. R. Soc. Lond. B 279 (1740), 3065-3074.
45. TRIANTAFYLLOU, G. S., TRIANTAFYLLOU, M. S. & GROSENBAUGH, M. A. 1993 Optimal thrust development in oscillating foils with application to fish propulsion. J. Fluids Struct. 7, 205-224.
46. TRIANTAFYLLOU, M. S., TRIANTAFYLLOU, G. S. & YUE, D. K. P. 2000 Hydrodynamics of fishlike swimming. Annu. Rev. Fluid Mech. 32 (1), 33-53.
47. TUCKER, V. A. 1970 Energetic cost of locomotion in animals. Comp. Biochem. Physiol. 34 (4), 841-846.
48. TYTELL, E. D., HSU, C. Y., WILLIAMS, T. L., COHEN, A. H. & FAUCI, L. J. 2010 Interactions between internal forces, body stiffness, and fluid environment in a neuromechanical model of lamprey swimming. Proc. Natl Acad. Sci. USA 107, 19832-19837.
49. TYTELL, E. D. & LAUDER, G. V. 2004 The hydrodynamics of eel swimming. I. Wake structure. J. Expl Biol. 207, 1825-1841.
50. VIDELER, J. J. 1993 Fish Swimming, Fish and Fisheries Series, vol. 10. Chapman & Hall.
51. WEBB, P. W., KOSTECKI, P. T. & DON STEVENS, E. 1984 The effect of size and swimming speed on locomotor kinematics of rainbow trout. J. Expl Biol. 109, 77-95.
52. WEIHS, D. 1973 Optimal fish cruising speed. Nature (London) 245, 48-50.
53. WHITE, C. R. & SEYMOUR, R. S. 2005 Allometric scaling of mammalian metabolism. J. Expl Biol. 208, 1611-1619.
54. WU, T. Y.-T. 1971a Hydromechanics of swimming propulsion. Part 2. Some optimum shape problems. J. Fluid Mech. 46 (3), 521-544.
55. WU, T. Y.-T. 1971b Hydromechanics of swimming propulsion. Part 3. Swimming and optimum movements of slender fish with side fins. J. Fluid Mech. 46 (3), 545-568.
56. WU, T. Y. 2011 Fish swimming and bird/insect flight. Annu. Rev. Fluid Mech. 43, 25.