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TECHNICAL PAPERS

Force and Power Estimation in Fish-Like Locomotion Using a Vortex-Lattice Method

[+] Author and Article Information
H. Kagemoto

Department of Environmental Studies, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan

M. J. Wolfgang, D. K. P. Yue, M. S. Triantafyllou

Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139

J. Fluids Eng 122(2), 239-253 (Dec 07, 1999) (15 pages) doi:10.1115/1.483251 History: Received February 19, 1998; Revised December 07, 1999
Copyright © 2000 by ASME
Topics: Force , Motion , Vortices , Thrust , Wakes
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References

Figures

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Discretization into a vortex-lattice
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Relationship of the vortex ring on a trailing edge and that on a wake
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An array of vortex rings
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Evaluation of the potential difference across a body
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Definitions of a sectional thrust force and a leading-edge sweep angle
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Contributions of a leading-edge suction force and a lateral force to total thrust force
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Thrust force coefficient of a rectangular plate oscillating simultaneously in heave and pitch (AR=7.0,ωL/2U=0.75, θ=0.8).
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(a) Lateral force coefficient of a rectangular plate oscillating simultaneously in heave and pitch (AR=7.0,ωL/2U=0.15, θ=0.8) (b) Thrust force coefficient of a rectangular plate oscillating simultaneously in heave and pitch (AR=7.0,ωL/2U=0.15, θ=0.8).
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(a) Lateral force coefficient of a waving rectangular plate (Real part). The waving motion is given by Eq. (20). (AR=0.5,ωL/U=8.0) (b) Lateral force coefficient of a waving rectangular plate (Imaginary part). The waving motion is given by Eq. (20). (AR=0.5,ωL/U=8.0).
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(a) Lateral force coefficient of a waving rectangular plate (Real part). The waving motion is given by Eq. (21). (AR=0.5,ωL/U=8.0) (b) Lateral force coefficient of a waving rectangular plate (Imaginary part). The waving motion is given by Eq. (21). (AR=0.5,ωL/U=8.0).
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Comparisons of the vortex-lattice calculations with the slender-body theory and the 2-D theory for a waving plate of various aspect ratios (ωL/U=8.0)
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The experimental setup for RoboTuna
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Discretization of RoboTuna
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Comparisons of the results obtained while assuming the trailing edge of the body anterior to a tail-base neck is round-edged and those obtained while assuming it is thin-edged
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(a) Comparisons of the vortex-lattice estimation of the power-input required for RoboTuna locomotion with the corresponding experimental data (b) Comparisons of the vortex-lattice estimation of the thrust force produced by RoboTuna with the corresponding value obtained from the measured data on power-input while assuming the efficiency is 100 percent
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Example vortex-lattice calculation on the efficiency of RoboTuna locomotion
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Contributions of the lateral force and the leading-edge suction force to the total thrust force
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(a) Comparisons of the required power-input for RoboTuna estimated by the vortex-lattice calculation and that estimated by the Lighthill’s slender-body theory (b) Comparisons of the lateral force on RoboTuna obtained by the vortexlattice calculation and that obtained by the Lighthill’s slender-body theory.
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Example streamlines on the mid-span lateral cross-section of RoboTuna when it is swimming. L is the length from the head to the tail-base neck (see Fig. 15)

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