On theoretical modeling of aquatic and aerial animal locomotion

Advances in Applied Mechanics

Volumn 38, Issue C, 2002, Pages 291-353

  Wu, Theodore Yaotsu ^a  

^a California Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2342437464     PISSN: 00652156     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0065-2156(02)80105-3     Document Type: Article

References (85)

1. Albano E., and Rodden W.P. A doublet-lattice method for calculating lift distributions on oscillating surfaces in subsonic flows. AIAA J. 7 (1969) 279-285
2. Cambridge University, Sept. 1975. Alexander R.M. Mechanics and scaling of terrestrial locomotion. In: Pedley T.J. (Ed). Scale Effects in Animal Locomotion (1977), Academic Press, London, New York 93-110
3. Ashley H., and Rodden W.P. Wing-body aerodynamic interaction. Ann. Rev. Fluid Mech. 4 (1972) 431-472
4. Azuma A. A view on the ways of locomotion and their biomechanical characteristics. In: Nagai M. (Ed). Proc. 1st Intern. Symp. Aqua Bio-Mechanisms (2000), Tokai University, Honolulu 141-160
5. Bannasch R. Experimental studies on hydrodynamic adaptation in penguins: Mechanisms of turbulence control and their applicability to engineering. In: Nagai M. (Ed). Proc. 1st Intern. Symp. Aqua Bio-Mech. (2000), Tokai University, Honolulu 13-18
6. Blake J.R., and Sleigh M.A. Mechanics of ciliary locomotion. Biol. Rev. 49 (1974) 85-125
7. Brett J.R. The energy required for swimming by young sockeye salmon with a comparison of the drag force on a dead fish. Trans. Roy. Soc. Can. 1 IV (1963) 441-457
8. Brett J.R. The relation of size to the rate of oxygen consumption and sustained swimming speeds of sockeye salmon. J. Fish. Res. Bd. Can. 22 (1965) 1491-1501
9. Brett J.R. The swimming energetics of salmon. Sci. Am. 213 (1965) 80-85
10. Cheng H.K., and Murillo L.E. Lunate-tail swimming propulsion as a problem of curved lifting line in unsteady flow. Part 1. Asymptotic theory. J. Fluid Mech. 143 (1984) 327-350
11. Chopra M.G. Large amplitude lunate-tail theory of fish locomotion. J. Fluid Mech. 74 (1976) 161-182
12. Chopra M.G., and Kambe T. Hydrodynamics of lunate-tail swimming propulsion. Part 2. J. Fluid Mech. 79 (1977) 49-69
13. Chwang A.T., and Wu T.Y. A note on the helical movement of micro-organisms. Proc. R. Soc. Lond. B 178 (1971) 327-346
14. Chwang A.T., Wu T.Y., and Winet H. Locomotion of spirilla. Biophys. J. 12 (1972) 1459-1561
15. Chwang A.T., Wu T.Y., and Winet H. A theoretical mechanism of spirochete locomotion. J. Mechanochem. Cell Motil. 3 (1974) 69-76
16. Giesing J.P., Kálmán T.P., and Rodden W.P. Subsonic unsteady aerodynamics for general configurations. USAF FDL-TR-71-5. Wright-Patterson Air Force Base, Ohio (1971)
17. Gray J. Studies of animal locomotion. J. exp. Biol. 13 (1936) 192-199
18. Gray J. The kinetics of locomotion of Nereis diversicolor. J. exp. Biol. 16 (1939) 9-17
19. Gray J. Introduction: Flagellar propulsion. Symp. Sperm Motility, Washington, DC (1962), Amer. Assoc. Adv. Sci., AAAS, Washington DC 1-12
20. Gray J. Animal Locomotion (1968), Weidenfeld and Nicolsen, London
21. Gray J., and Hancock G.J. The propulsion of sea-urchin spermatozoa. J. exp. Biol. 32 (1955) 802-814
22. Hancock G.J. The self-propulsion of microscopic organisms through liquids. Proc. R. Soc. Lond. A 217 (1953) 96-121
23. Jones R.T. The unsteady lift of a wing of finite aspect ratio. NACA Report 681 (1940)
24. Div. E. Kármán T.v., and Burgers J.M. General aerodynamic theory: Perfect fluids. In: Durand W.F. (Ed). Aerodynamic Theory Vol. II (1934), Springer-Verlag, Berlin
25. Kármán T.v., and Sears W.R. Airfoil theory for non-uniform motion. J. Aeronautical Sci. 5 (1938) 379-390
26. Kármán T.v., and Gabrielli G. What price speed? Specific power required for propulsion of vehicles. Mechanical Engineering 72 (1950) 775-781
27. Karpouzian G., Spedding G.R., and Cheng H.K. Lunate-tail swimming propulsion. Part II. Performance analysis. J. Fluid Mech. 210 (1990) 329-351
28. Katz J., and Weihs D. Behaviors of vortex wakes from oscillating airfoils. J. Aircraft 15 (1978) 861-863
29. California Institute of Technology, July 8-12, 1974. Keller S.R., Wu T.Y., and Brennen C. A traction-layer model for ciliary propulsion. In: Wu T.Y., Brokaw C.J., and Brennen C. (Eds). Swimming and Flying in Nature (1975), Plenum Press, New York 253-271
30. Keller S.R., and Wu T.Y. A porous prolate-spheroidal model for ciliated micro-organisms. J. Fluid Mech. 80 (1977) 259-278
31. California Institute of Technology, July 8-12, 1974. Kuethe A.M. On the mechanics of flight of small insects. In: Wu T.Y., Brokaw C.J., and Brennen C. (Eds). Swimming and Flying in Nature (1975), Plenum Press, New York 803-813
32. Küssner H.G. Zusammenfassender Bericht über den instationären Autrieb von Flügeln. Luftfahrtforschung 13 (1936) 410
33. California Institute of Technology, July 8-12, 1974. Lang T.G. Speed, power, and drag measurements of dolphins and porpoises. In: Wu T.Y., Brokaw C.J., and Brennen C. (Eds). Swimming and Flying in Nature (1975), Plenum Press, New York 729-762
34. Lighthill M.J. Note on the swimming of slender fish. J. Fluid Mech. 9 (1960) 305-317
35. Lighthill M.J. Aquatic animal propulsion of high hydromechanical efficiency. J. Fluid Mech. 44 (1970) 265-301
36. Lighthill M.J. Large-amplitude elongated-body theory of fish locomotion. Proc. R. Soc. Lond. B 179 (1971) 125-138
37. Lighthill M.J. On the Weis-Fogh mechanism of lift generation. J. Fluid Mech. 60 (1973) 1-17
38. Lighthill M.J. Mathematical Biofluiddynamics. SIAM, 17 (1975), Society for Industrial and Applied Mathematics, Philadelphia
39. Lighthill M.J. Flagellar hydrodynamics-The John von Neumann Lecture, 1975. SIAM Rev. 18 (1976) 161-230
40. Cambridge University, Sept. 1975. Lighhtill M.J. Introduction to the scaling of aerial locomotion. In: Pedley T.J. (Ed). Scale Effects in Animal Locomotion (1977), Academic Press, London, New York 405-420
41. Lighthill M.J. Biofluiddynamics: A survey. Contemporary Math. 141 (1993) 1-32
42. Lighthill M.J., and Blake R. Biofluiddynamics of balistiform and gymnotiform locomotion. Part 1. Biological background and analysis by elongated-body theory. J. Fluid Mech. 212 (1990) 183-207
43. Lighthill M.J., and Blake R. 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 (1990) 1-10
44. McCune J.E., Lam C.G., and Scott M.T. Monlinear aerodynamics of two-dimensional airfoils in severe maneuver. AIAA J. 28 (1990) 385-393
45. McCune J.E., and Tavares T.S. Perspective: Unsteady wing theory-The Kármán/Sears legacy. Trans. ASME 115 (1993) 548-560
46. Cambridge University, Sept. 1975. McCutchen C.W. Froude propulsive efficiency of a small fish, measured by wake visualization. In: Pedley T.J. (Ed). Scale Effects in Animal Locomotion (1977), Academic Press, London, New York 339-363
47. Muskhelishivili N.I. Singular Integral Equations (1953), Noordhoff, Groningen, Holland
48. Nagai M. A review of Gray's paradox. In: Nagai M. (Ed). Proc. 1st Intern. Symp. Aqua Bio-Mechanisms (2000), Tokai University, Honolulu 166-171
49. Nakamura Y. Some asymptotic aspects of the nonstationary aerofoil theory. Fluid Dyn. Res. 10 (1992) 151-157
50. Newman J.N. The force on a slender fish-like body. J. Fluid Mech. 58 (1973) 689-702
51. Newman J.N., and Wu T.Y. A generalized slender-body theory for fish-like forms. J. Fluid Mech. 57 (1973) 673-693
52. Pedley T.J. Scale Effects in Animal Locomotion (1977), Academic Press, London, New York
53. Pedley T.J., and Hill S.J. Large-amplitude undulatory fish swimming: Fluid mechanics coupled to internal mechanics. J. exp. Bio. 202 (1999) 3431-3438
54. JPRS 52605, NTIS. [Trans. Russian]. Pyatetskiy V.Y. Hydrodynamic problems. Bionics 4 (1970) 12-23
55. Sandberg W.C., Ramamurti R., Westneat M.M., and Walker J.A. 3-D unsteady computations of flapping aquatic flight. In: Nagai M. (Ed). Proc. 1st Intern. Symp. Aqua Bio-Mechanisms (2000), Tokai University, Honolulu 166-171
56. Schmidt-Nielsen K. Locomotion: Energy cost of swimming, flying and running. Science 177 (1972) 222-228
57. Smith A.M.O., and Hess J.L. Calculation of potential flow about arbitrary bodies. In: Küchemann D. (Ed). Progress in Aeronautical Sciences 8 (1967), Pergamon, New York
58. Su Y., and Yates G.T. The effect of sidefin vortex sheet on fish propulsion (unpublished) (1983)
59. Taylor G.I. The action of waving cylindrical tails in propelling microscopic organisms. Proc. R. Soc. Lond. A 211 (1952) 225-239
60. Taylor G.I. Analysis of the swimming of long and narrow animals. Proc. R. Soc. Lond. A 214 (1952) 158-183
61. Theordorsen T. General theory of aerodynamic instability and the mechanism of flutter. NACA Tech. Rept. (1935) 496
62. Tucker V.A. The energy cost of moving about. Am. Scientist 63 (1975) 413-419
63. Wagner H. Über die Entstehung des dynamischer Auftrieb von Tragflügeln. Z.A.M.M. 5 (1925) 17-35
64. Webb P.W. Hydrodynamics and energetics of fish propulsion. Bull. Fish. Res. Bd. Can. 190 (1975) 1-158
65. Weihs D. A hydrodynamic analysis of fish turning maneuvres. Proc. R. Soc. Lond. B 182 (1972) 59-72
66. Weihs D. The mechanism of rapid starting of slender fish. Biorheology 10 (1973) 343-350
67. Weis-Fogh T. Quick estimates of flight fitness in hovering animals, including novel mechanisms for lift production. J. exp. Biol. 59 (1973) 169-230
68. California Institute of Technology, July 8-12, 1974. Weis-Fogh T. Flapping flight and power in birds and insects, conventional and novel mechanisms. In: Wu T.Y., Brokaw C.J., and Brennen C. (Eds). Swimming and Flying in Nature (1975), Plenum Press, New York 729-762
69. Cambridge University, Sept. 1975. Weis-Fogh T. Dimensional analysis of hovering flight. In: Pedley T.J. (Ed). Scale Effects in Animal Locomotion (1977), Academic Press, London, New York 405-420
70. Wolfgang M.J., Anderson J.M., Grosenbaugh M.A., Yue D.K., and Triantafyllou M.S. Near-body flow dynamics in swimming fish. J. exp. Biol. 202 (1999) 2303-2327
71. Wu T.Y. Swimming of a waving plate. J. Fluid Mech. 10 (1961) 321-344
72. Wu T.Y. Hydromechanics of swimming propulsion. I. Swimming of a two-dimensional flexible plate at variable forward speeds in an inviscid fluid. J. Fluid Mech. 46 (1971) 337-355
73. Wu T.Y. Hydromechanics of swimming propulsion. II. Some optimum shape problems. J. Fluid Mech. 46 (1971) 521-544
74. Wu T.Y. Hydromechanics of swimming propulsion. III. Swimming and optimum movements of slender fish with side fins. J. Fluid Mech. 46 (1971) 545-568
75. Wu T.Y. Hydrodynamics of swimming fishes and cetaceans. In: Yih C.S. (Ed). Advances in Applied Mechanics Vol. II (1971), Academic Press, London, New York 1-63
76. Wu T.Y. Introduction to the scaling of aquatic animal locomotion. In: Pedley T.J. (Ed). Scale Effects in Animal Locomotion (1977), Academic Press, London, New York 203-232
77. Wu T.Y. Mechanophysiology of aquatic animal swimming. In: Fung Y.C., Fukada E., and Junjian W. (Eds). Biomechanics in China, Japan, and U.S.A. (1983), Science Press, Beijing
78. (To appear in Math. Methods in Appl. Sci.). Wu T.Y. Mathematical biofluiddynamics and mechanophysiology of fish locomotion (2001)
79. Wu T.Y., Brokaw C.J., and Brennen C. Swimming and Flying in Nature (1975), Plenum Press, New York
80. Wu T.Y., and Newman J.N. Unsteady flow around a slender fish-like body. Suppl. Issue. Proc. IUTAM-ITTC Symp. on Directional Stability and Control of Bodies Moving in Water, J. Mech. Eng. Sci. 14 (1972), University College, London 43-52 7
81. Wu T.Y., and Yates G.T. A comparative mechanophysiological study of fish locomotion with implications for tuna-like swimming mode. In: Sharp G.D., and Dizon A.E. (Eds). The Physiological Ecology of Tuna (1978), Academic Press, New York 313-338
82. Yates G.T. Finite amplitude unsteady slender body theory and experiments. Ph.D. Thesis (1977), California Institute of Technology, Pasadena, CA
83. Chapter 6 in. Yates G.T. Hydromechanics of body and caudal fin propulsion. In: Webb P.W., and Weihs D. (Eds). Fish Biomechanics (1983), Praeger Scientific, New York 177-213
84. Yates G.T. Optimum pitching axes in flapping wing propulsion. J. theor. Biol. 120 (1986) 255-276
85. Yates G.T. Scale effects in fish locomotion. In: Nagai M. (Ed). Proc. 1st Intern. Symp. Aqua BioMech. (2000), Tokai University, Honolulu 161-165