Fish swimming and bird/insect flight

Annual Review of Fluid Mechanics

Volumn 43, Issue , 2011, Pages 25-58

  Wu, Theodore Yaotsu ^a  

^a California Institute of Technology   (United States)

Author keywords

acceleration potential; bound vortex shedding; energy conservation; free wake vortices; fully nonlinear unsteady flexible wing theory; insect wing leading edge vortex high lift; locomotion energetics; metabolic rates; power; reactive theory; scale effects; thrust; unsteady slender body theory

Indexed keywords

BOUND VORTEX SHEDDING; FREE WAKE; FULLY NONLINEAR UNSTEADY FLEXIBLE WING THEORY; INSECT WING LEADING-EDGE VORTEX HIGH LIFT; LOCOMOTION ENERGETICS; METABOLIC RATES; POWER; REACTIVE THEORY; SCALE EFFECTS; SLENDER-BODY THEORY; THRUST;

DELTA WING AIRCRAFT; ENERGY CONSERVATION; EXPERIMENTS; FISH; FLEXIBLE WINGS; LAMINAR BOUNDARY LAYER; METABOLISM; PROPULSION; RIGID WINGS; VORTEX SHEDDING; WAKES;

VORTEX FLOW;

AERODYNAMICS; BIRD; ENERGETICS; FISH; FLIGHT BEHAVIOR; INSECT; LOCOMOTION; SCALE EFFECT; SWIMMING; UNSTEADY FLOW; VISCOUS FLOW;

ANIMALIA; AVES; HEXAPODA;

EID: 79951975889     PISSN: 00664189     EISSN: None     Source Type: Book Series    
DOI: 10.1146/annurev-fluid-122109-160648     Document Type: Article

References (107)

1. Ansari SA, Zbikowski R, Knowles K. 2006. Non-linear unsteady model for insect-like flapping wings in the hover. Part 1: methodology and analysis. J. Aerosp. Eng. 220:61-83 (Pubitemid 46485333)
2. Bandyopadhyay PR. 2009. Swimming and flying in nature: the route toward applications. J. Fluids Eng. Trans. ASME 131(3):031801
3. Bao L, Hu JS, Yu YL, Peng C, Bo-qing X, et al. 2006. Viscoelastic constitutive model related to deformation of insect wing under loading in flapping motion. Appl. Math. Mech. 27:741-48 (Pubitemid 44206726)
4. Bos FM, Lentink D, Van Oudheusden BW, Bijl H. 2008. Influence of kinematics on aerodynamic performance in hovering insect flight. J. Fluid Mech. 594:341-68
5. Brett JR. 1963. The energy required for swimming by young sockeye salmon with a comparison of the drag force on a dead fish. Trans. R. Soc. Can. 1-4:441-57
6. Brett JR. 1965a. The relation of size to the rate of oxygen consumption and sustained swimming speeds of sockeye salmon. J. Fish. Res. Bd. Can. 22:1491-501
7. Brett JR. 1965b. The swimming energetics of salmon. Sci. Am. 213:80-85
8. Cheng JY. 1998. A continuous dynamic beam model for swimming fish. Philos. Trans. R. Soc. Lond. B 353:981-97
9. Chopra MG. 1976. Large amplitude lunate-tail theory of fish locomotion. J. Fluid Mech. 74:161-82
10. Chopra MG, Kambe T. 1977. Hydrodynamics of lunate-tail swimming propulsion. Part 2. J. Fluid Mech. 79:49-69
11. Dickinson MH, Götz KG. 1993. Unsteady aerodynamic performance of model wings at low Reynolds number. J. Exp. Biol. 174:45-64
12. Dickinson MH, Lehmann FO, Sane SP. 1999. Wing rotation and the aerodynamic basis of insect flight. Science 284:1954-60 (Pubitemid 29309436)
13. Ellington CP, van den Berg C, Willmott AP, Thomas ALR. 1996. Leading-edge vortices in insect flight. Nature 384:626-30 (Pubitemid 27021513)
14. Garrick IE. 1936. Propulsion of a flapping and oscillating airfoil. NACA Rep. TR 567.
15. Gray J. 1936. Studies in animal locomotion. J. Exp. Biol. 13:192-99
16. Gray J. 1968. Animal Locomotion. London: Weidenfeld & Nicolson
17. Hamdani H, Sun M. 2000. Aerodynamic forces and flow structures of an airfoil in some unsteady motions at small Reynolds number. Acta Mech. 145:173-87 (Pubitemid 32136693)
18. Hou TY, Stredie VG, Wu TY. 2006. A 3D numerical method for studying vortex formation behind a moving plate. Commun. Comput. Phys. 1:207-28
19. Hou TY, Stredie VG, Wu TY. 2007. Mathematical modeling and simulation of aquatic and aerial animal locomotion. J. Comput. Phys. 225:1603-31
20. Hu WR, Yu YL, Tong BG, Liu H. 2004. A numerical and analytical study on a tail-flapping model for fish fast C-start. Acta Mech. Sin. 20:16-23
21. Kooschesfahani MM. 1989. Vortical patterns in the wake of an oscillating airfoil. AIAA J. 27:1200-5
22. Küssner HG. 1935. Augenblicklicher Entwicklungs-stand der Frage des Flügelflatterns. Luftfahrtforschung 6:193-209
23. Kuethe AM. 1975. On the mechanics of flight of small insects. See Wu et al. 1975, pp. 803-14
24. Lai JCS, Yue J, Platzer LF. 2002. Control of backward-facing step flow using a flapping foil. Exp. Fluids 32:44-54 (Pubitemid 34452496)
25. Lang TG, Daybell DA. 1963. NAVWEPS Rep. 8060, NOTS Tech. Publ. 3063
26. Levy DE, Seifert A. 2009. Simplified dragonfly airfoil aerodynamics at Reynolds numbers below 8000. Phys. Fluids 21:071901
27. Lian YS, Shyy W, Viieru D, Zhang B. 2003. Membrane wing aerodynamics for micro air vehicle. Prog. Aerosp. Sci. 39:425-65
28. Lighthill MJ. 1960. Note on the swimming of slender fish. J. Fluid Mech. 9:305-17
29. Lighthill MJ. 1969. Hydrodynamics of aquatic animal propulsion. Annu. Rev. Fluid Mech. 1:413-46
30. Lighthill MJ. 1970. Aquatic animal propulsion of high hydromechanical efficiency. J. Fluid Mech. 44:265-301
31. Lighthill MJ. 1971. Large-amplitude elongated-body theory of fish locomotion. Proc. R. Soc. Lond. B 179:125-38
32. Lighthill MJ. 1973a. Aquatic animal locomotion. In Theoretical and Applied Mechanics, ed. E Becker, GK Mikhailov, pp. 29-46. Berlin: Springer
33. Lighthill MJ. 1973b. On the Wies-Fogh mechanism of lift generation. J. Fluid Mech. 60:1-17
34. Lighthill MJ. 1974. Aerodynamic aspects of animal flight. In Fifth Fluid Science Lecture, pp. 423-91. Bedford: Br. Hydrodyn. Res. Assoc.
35. Lighthill MJ. 1975. Mathematical Biofluiddynamics. Philadelphia: SIAM
36. Lighthill MJ. 1976. Introduction to the scaling of aerial locomotion. In Scale Effects in Animal Locomotion, ed. TJ Pedley, pp. 365-404. London: Academic
37. Lighthill MJ, Blake R. 1990a. Biofluiddynamics of balistiform and gymnotiform locomotion. Part 1. Biological background, and analysis by elongated-body theory. J. Fluid Mech. 212:183-207
38. Lighthill MJ, Blake R. 1990b. Biofluiddynamics of balistiform and gymnotiform locomotion. Part 2. The pressure distribution arising in two-dimensional irrotational flow from general symmetrical motion of a flexible flat plate normal to itself. J. Fluid Mech. 213:1-10
39. Liu H. 2009. Integrated modeling of insect flight. J. Comp. Phys. 228:439-59
40. Liu H, Ellington CP, Kawachi K, van den Berg C, Willmott AP. 1998. A computational fluid dynamics study of hawkmoth hovering. J. Exp. Biol. 201:461-77
41. Lu Y, Shen GX, Su WH. 2007. Flow visualization of dragonfly hovering via an electromechanical model. AIAA J. 45:615-22
42. Luo GY, Sun M. 2005. The effects of corrugation and wing planeform on the aerodynamic force production of sweeping model insect wings. Acta Mech. Sin. 21:531-41
43. Maxworthy T. 1981. The fluid dynamics of insect flight. Annu. Rev. Fluid Mech. 13:329-50
44. Maxworthy T. 2007. The formation and maintenance of a leading-edge vortex during the forward motion of an animal wing. J. Fluid Mech. 587:471-75
45. Miloh T. 1974. The ultimate image singularities for external ellipsoidal harmonics. SIAM J. Appl. Math. 26:334-44
46. Newman JN. 1973. The force on a slender fish-like body. J. Fluid Mech. 58:689-702
47. Newman JN, Wu TY. 1973. A generalized slender-body theory for fish-like forms. J. Fluid Mech. 57:673-93
48. Newman JN, Wu TY. 1975. Hydromechanical aspects of fish swimming. See Wu et al. 1975, pp. 729-62
49. Osborne FMF. 1960. The hydrodynamical performance of migratory salmon. J. Exp. Biol. 38:365-90
50. Pedley TJ, Hill SJ. 1999. Large-amplitude undulatory fish swimming: fluid mechanics coupled to internal mechanics. J. Exp. Biol. 202:3431-38 (Pubitemid 30018449)
51. Pullin DI, Wang JZ. 2004. Unsteady forces on an accelerating plate and application to hovering insect flight. J. Fluid Mech. 509:1-21 (Pubitemid 38904961)
52. Pyatetskiy VY. 1970. Hydrodynamic problems. Bionics 4:12-23 (Transl. from Russian, 1971, Joint Pub. Res. Service, 52605, NTIS)
53. Ringuettet MJ, Milano M, Gharib M. 2007. Role of the tip vortex in the force generation of low-aspect-ratio normal flat plates. J. Fluid Mech. 581:453-68 (Pubitemid 47304520)
54. Schmidt-Nielsen K. 1972. Locomotion: energy cost of swimming, flying, running. Science 177:222-28
55. Singh K, Pedley TJ. 2008. The hydrodynamics of flexible-body manoeuvres in swimming fish. Phys. D 237:2234-39
56. Sohn MH, Chang JW. 2007. Flow visualization and aerodynamic load calculation of three types of clap-fling motions in a Weis-Fogh mechanism. Aerosp. Sci. Technol. 11:119-29 (Pubitemid 46483155)
57. Stredie VG. 2005. Mathematical modeling and simulation of aquatic and aerial animal locomotion. PhD thesis. Calif. Inst. Technol., Pasadena
58. Su Y, Wu TY, Yates GT. 1983. The effect of sidefin vortex sheet on fish propulsion. Unpublished manuscript, Northwestern. Polytechnic Univ., Xian, Shaanxi.
59. China Sun M, Tang J. 2002. Unsteady aerodynamic force generation by a model fruit fly wing in flapping motion. J. Exp. Biol. 205:55-70 (Pubitemid 34861259)
60. Taira K, Colonius T. 2009. Three-dimensional flow around low aspect-ratio flat plate wings at low Reynolds numbers. J. Fluid Mech. 623:187-207
61. Taylor GI. 1952. Analysis of the swimming of long and narrow animals. Proc. R. Soc. Lond. A 214:158-83
62. TheodorsenT.1935. General theory ofaerodynamic instability and mechanism offlutter.NACA Tech. Rep. 496 Tong BG.
63. Lu XY. 2004. A review on biomechanics of animal flight and swimming. Adv. Mech. Chin. Acad. Sci. 34(1):1-8
64. Triantafyllou MS, Triantafyllou GS, Yue DKP. 2000. Hydrodynamics of fishlike swimming. Annu. Rev. Fluid Mech. 32:33-53 (Pubitemid 36144992)
65. Tuck EO. 1975. The effect of span-wise variations in amplitude on the thrust-generating performance of a flapping thin wing. See Wu et al. 1975, pp. 953-74
66. Tucker VA. 1975. The energy cost of moving about. Am. Sci. 63:413-19
67. von Kármán Th, Burgers JM. 1934. General aerodynamic theory: perfect fluids. In Aerodynamic Theory, Vol. II, Div. E, ed. WF Durand, pp. 280-310. Berlin: Springer-Verlag
68. von Kármán Th, Gabrielli G. 1950. What price speedSpecific power required for propulsion of vehicles. Mech. Eng. 72:775-81
69. von Kármán Th, Sears WR. 1938. Airfoil theory for non-uniform motion. J. Aeronaut. Sci. 5:379-90
70. Wagner H 1925. Uber die Entstehung des dynamischer Austrieb von Tragflügeln. ZAMM 5 17-35
71. Wang ZJ. 2005. Dissecting insect flight. Annu. Rev. Fluid Mech. 37:183-210 (Pubitemid 40301256)
72. Webb PW. 1975. Hydrodynamics and energetics of fish propulsion. Bull. Fish. Res. Bd. Can. 190:1-158
73. Weihs D. 1972. A hydrodynamic analysis of fish turning maneuvres. Proc. R. Soc. Lond. B 182:59-72
74. Weihs D. 1973. The mechanism of rapid starting of slender fish. Biorheology 10:343-50
75. Weinblum G. 1954. Approximate theory of heaving and pitching of hydrofoils in regular shallow waves. DTMB Rep. C-479, David Taylor Model Basin, Washington, DC
76. Weis-Fogh T. 1973. Quick estimates of flight fitness in hovering animals, including novel mechanism for lift production. J. Exp. Biol. 59:169-230
77. Weis-Fogh T. 1975. Hovering flight of the dragonfly Aeschna Juncea L.: kinematics and aerodynamics. See Wu et al. 1975, pp. 729-62
78. Weis-Fogh T, Jensen M. 1956. Biology and physics of locust flight, I-IV. Philos. Trans. R. Soc. Lond. B 239:415-584
79. Wu DM, Sheng QH, Zhang L. 2005. Aerodynamic forces acting on an albatross flying above sea waves. Appl. Math. Mech. 26:1114-20
80. Wu TY. 1961. Swimming of a waving plate. J. Fluid. Mech. 10:321-44
81. Wu TY. 1962. Accelerated swimming of a waving plate. In Proc. 4th Symp. Naval Hydrodyn., pp. 457-73, Publ. ONR.ACR-92. Washington, DC: Academy
82. Wu TY. 1966. The mechanics of swimming. In Biomechanics: Proc. Symp. Biomech., ed. YC Fung, pp. 187-204. New York: ASME
83. Wu TY. 1968. Fluid mechanics of swimming propulsion. In Proc. 7th Symp. Naval Hydrodyn., ed. RD Cooper, SW Doroff, pp. 1173-201, Publ. ONR.DR-148, Washington, DC: Academy
84. Wu TY. 1971a. Hydromechanics of swimming propulsion. Part 1: swimming of a two-dimensional flexible plate at variable forward speeds in an inviscid fluid. J. Fluid Mech. 46:337-55
85. Wu TY. 1971b. Hydromechanics of swimming propulsion. Part 2: some optimum shape problems. J. Fluid Mech. 46:521-44
86. Wu TY. 1971c. Hydromechanics of swimming propulsion. Part 3: swimming and optimum movements of slender fish with side fins. J. Fluid Mech. 46:545-68
87. Wu TY. 1971d. Hydrodynamics of swimming fishes and cetaceans. In Advances in Applied Mechanics, ed. CS Yih, 11:1-63. New York: Academic.
88. Wu TY. 1972. Extraction of flow energy by a wing oscillating in waves. J. Ship Res. 14:66-78
89. Wu TY. 1976. Introduction to the scaling of aquatic animal locomotion. In Scale Effects in Animal Locomotion, ed. TJ Pedley, pp. 203-32. London: Academic
90. Wu TY. 1980. Extraction of energy from wind and ocean current. In Proc. 13th Symp. Naval Hydrodyn., ed. S Schuster, M Schmiechen, 2:1-10, Publ. ONR.ACR-92, Washington, DC: Academy
91. Wu TY. 1984. Mechanophysiology of aquatic animal swimming. In Biomechanics in China, Japan, and USA, ed. YC Fung, E Fukada, W Junjian, pp. 291-304.
92. Beijing: Science Wu TY. 2001a. Mathematical biofluiddynamics and mechanophysiology of fish locomotion. J. Math. Meth. Appl. Sci. 24:1541-64
93. Wu TY. 2001b. On theoretical modeling of aquatic and aerial animal locomotion. Adv. Appl. Mech. 38:291-353
94. Wu TY. 2005. Reflections for resolution to some recent studies on fluid mechanics. In Advances in Engineering Mechanics: Reflections and Outlooks, ed. AT Chwang, MH Teng, DT Valentine, pp. 693-714. Singapore: World Sci.
95. Wu TY. 2006. A nonlinear unsteady flexible wing theory. Struct. Control Health Monit. 13:553-60 (Pubitemid 43266681)
96. Wu TY. 2007. A nonlinear theory for a flexible unsteady wing. J. Eng. Math. 58:279-87 (Pubitemid 47023377)
97. Wu TY, Brokaw CJ, Brennen C, eds 1975 Swimming and Flying in Nature Vol. 2. New York Plenum.
98. Wu TY, Chwang AT. 1974. Double-body flow theory: a new look at the classical problem. In Proc. 10th Symp. Naval Hydrodyn., ed. RD Cooper, pp. 89-106. Washington, DC: Academy
99. Wu TY, Chwang AT. 1975. Extraction of flow energy by fish and birds in a wavy stream. See Wu et al. 1975, pp. 687-702
100. Wu TY, Newman JN. 1972. Unsteady flow around a slender fish-like body. J. Mech. Eng. Sci. 14(Suppl.):43-52
101. Wu TY, Yates GT. 1978. A comparative mechanophysiological study of fish locomotion with implication for tuna-like swimming mode. In The Physiological Ecology of Tuna, ed. GD Sharp, AE Dizon, pp. 313-38. New York: Academic
102. Yang Y, Wu GH, Yu YL, Tong BG. 2008. Two-dimensional self-propelled fish motion: an integrated method for deforming body dynamics and unsteady fluid dynamics. Chin. Phys. Let. 25:560-97
103. Yates GT. 1977. Finite amplitude unsteady slender body theory and experiments. PhD thesis. Calif. Inst. Technol.
104. Pasadena Yates GT. 1983. Hydromechanics of body and caudal fin propulsion. In Fish Biomechanics, ed. PW Webb, D Weihs, pp. 177-213. New York: Praeger Sci.
105. Yu Y, Tong B, Ma H. 2003. An analytic approach to theoretical modeling of highly unsteady viscous flow excited by wing flapping in small insects. ACTA Mech. Sin. 19(6):508-16
106. Yu Y, Tong B. 2005. A flow control mechanism in wing flapping with stroke asymmetry during insect forward flight. ACTA Mech. Sin. 21(3):218-27 (Pubitemid 41108737)
107. Yu Y, Tong B, Ma H. 2005. Unsteady flow mechanics revisited in insect flapping flight. ACTA Mech. Sin. 37(3):257-65