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TECHNICAL PAPERS

Numerical Study of the Thrust, Energy Consumption, and Propulsive Efficiency of a Three Joint Bending Propulsion Mechanism

[+] Author and Article Information
Motomu Nakashima, Kyosuke Ono

Faculty of Engineering, Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro-ku, Tokyo 152-8552, Japan

J. Fluids Eng 122(3), 614-618 (Mar 13, 2000) (5 pages) doi:10.1115/1.1287503 History: Received December 06, 1999; Revised March 13, 2000
Copyright © 2000 by ASME
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References

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Katz,  J., and Weihs,  D., 1978, “Hydrodynamic Propulsion by Large Amplitude Oscillation of an Airfoil with Chordwise Flexibility,” J. Fluid Mech., 88, No. 3, pp. 485–497.
Chopra,  M. G., 1974, “Hydromechanics of Lunate-Tail Swimming Propulsion,” J. Fluid Mech., 64, No. 2, pp. 375–391.
Chopra,  M. G., 1976, “Large Amplitude Lunate-Tail Theory of Fish Locomotion,” J. Fluid Mech., 74, No. 1, pp. 161–182.
Chopra,  M. G., and Kambe,  T., 1977, “Hydromechanics of Lunate-Tail Swimming Propulsion. Part 2,” J. Fluid Mech., 79, No. 1, pp. 49–69.
Cheng,  H. K., and Murillo,  L., 1984, “Lunate-Tail Swimming Propulsion as a Problem of Curved Lifting Line in Unsteady Flow. Part 1. Asymptotic Theory,” J. Fluid Mech., 143, pp. 327–350.
Bose,  N., Lien,  J., and Ahia,  J., 1990, “Measurements of the Bodies and Flukes of Several Cetacean Species,” Proc. R. Soc. London, Ser. B, 242, pp. 163–173.
Karpouzian,  G., Spedding,  G., and Cheng,  H. K., 1990, “Lunate-Tail Swimming Propulsion. Part 2. Performance Analysis,” J. Fluid Mech., 210, No. 4, pp. 329–351.
Triantafyllou,  G. S., Triantafyllou,  M. S., and Grosenbaugh,  M. A., 1993, “Optimal Thrust Development in Oscillating Foils with Application to Fish Propulsion,” J. Fluids Struct.,7, pp. 205–224.
Lighthill,  M. J., 1960, “Note on the Swimming of Slender Fish,” J. Fluid Mech., 9, pp. 305–317.
Wu,  T. Y., 1971, “Hydromechanics of Swimming Propulsion. Part 3. Swimming and Optimum Movements of Slender Fish with Side Fins,” J. Fluid Mech., 46, No. 3, pp. 545–568.
Katz,  J., and Weihs,  D., 1979, “Large Amplitude Unsteady Motion of a Flexible Slender Propulsor,” J. Fluid Mech., 90, No. 4, pp. 713–723.
Cheng,  J. Y., Zhuang,  L. X., and Tong,  B. G., 1991, “Analysis of Swimming Three-Dimensional Waving Plates,” J. Fluid Mech., 232, pp. 341–355.
Nakashima,  M., and Ono,  K., 1996, “Numerical and Experimental Study of the Propulsive Speed of the Three Joint Bending Propulsion Mechanism,” ASME J. Fluids Eng., 118, No. 1, pp. 134–141.
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Figures

Grahic Jump Location
Analytical model of a three joint bending propulsion mechanism
Grahic Jump Location
Thrust F̄px*, its components F̄px1*,F̄px2*, and drag FD* as functions of Ū* when θp max=5.2 deg(p=1∼3): (a) ϕ0=0 deg, (b) ϕ0=100 deg
Grahic Jump Location
Motions of the bending propulsion mechanism during half a period of time: (a) Ū*=0.31,ϕ0=0 deg, (b) Ū*=0.62,ϕ0=0 deg, (c) Ū*=1.11,ϕ0=0 deg, (d) Ū*=1.88,ϕ0=0 deg, (e) Ū*=2.14,ϕ0=0 deg, (f) Ū*=0.16,ϕ0=100 deg
Grahic Jump Location
Propulsive efficiency η as the function of the uniform phase difference ϕ0 for various normalized speed Ū*
Grahic Jump Location
Propulsive efficiency η and its components Ēpx* and Ēpy*, as functions of Ū* when θp max=5.2 deg(p=1∼3),ϕ0=100 deg

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