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TECHNICAL PAPERS

A Fluid/Solid Model for Predicting Slender Body Deflection in a Moving Fluid

[+] Author and Article Information
J. C. Mollendorf, J. D. Felske, S. Samimy

Department of Mechanical and Aerospace Engineering, School of Engineering, Center for Research and Education in Special Environments, State University of New York at Buffalo, Buffalo, NY 14214-3078

D. R. Pendergast

Department of Physiology, School of Medicine, Center for Research and Education in Special Environments, State University of New York at Buffalo, Buffalo, NY 14214-3078

J. Appl. Mech 70(3), 346-350 (Jun 11, 2003) (5 pages) doi:10.1115/1.1554416 History: Received January 29, 2001; Revised October 16, 2002; Online June 11, 2003
Copyright © 2003 by ASME
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References

Lighthill,  M. J., 1960, “Note on the Swimming of Slender Fish,” J. Fluid Mech., 9, pp. 305–317.
Munk, M. M., 1923, “The Aerodynamic Forces on Airship Hulls,” NACA Report No. 184, pp. 453–468.
Wu,  T. Y.-T., 1960, “Swimming of a Waving Plate,” J. Fluid Mech., 10, pp. 321–344.
Samimy, S., 2002, “Theoretical and Experimental Analysis of Underwater Fin Swimming,” Master’s Project, State University of New York at Buffalo, Buffalo, NY, July 11.
Pendergast,  D. R., 1996, “Energetics of Underwater Fin Swimming,” Med. Sci. Sports Exercise, pp. 573–580.

Figures

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“Fin signature” showing the measured local, instantaneous slopes of the “leading edge” (LE) and “free end” (trailing edge (TE)). The numbers, 1–22, indicate LE and TE segments at 1/15 second increments. The fin shape is sketched in for segment number 7. Note that x=0 is fixed to the LE and x=l is at the TE.
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Calculated fin shapes, H(X,τ), as a function of X during the kick cycle. Numbers denote increasing multiples of time, τ, in π/4 increments.
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Calculated lift distribution, L(X,τ)/Lc, as a function of X during the kick cycle. Numbers denote increasing multiples of time, τ, in π/4 increments, where Lc≡h0U2(ρA)/l2.
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Fin signature computed for the experimental conditions of Fig. 1. The time interval between each fin trace is 1/5 second. The symbols (connected with lines) are measurements from Samimy 4. The numbers correspond to those in Fig. 1.
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Time variation of the position of the fin leading edge, h(0,t), (LE) and trailing edge, h(l,t), (TE) for the experimental conditions corresponding to Fig. 1. The symbols are measurements from Samimy 4.
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Time variation of the slope of the fin leading edge, hx(0,t), (LE) and trailing edge, hx(l,t), (TE) for the experimental conditions corresponding to Fig. 1. The symbols are measurements from Samimy 4.
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Time variation of the vertical velocity of the fin leading edge, ht(0,t), (LE) and trailing edge, ht(l,t), (TE) for the experimental conditions corresponding to Fig. 1. The symbols are measurements from Samimy 4.
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Variation of the non-dimensional power, P̄/Pc, with nondimensional maximum leading edge slope, κ, and leading edge coordination (phase) angle, α. The data point corresponds to the experimental conditions of Fig. 1.
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Variation of the nondimensional thrust, T̄/Tc, with nondimensional maximum leading edge slope, κ, and leading edge coordination (phase) angle, α. The data point corresponds to the experimental conditions of Fig. 1.
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Variation of the Froude efficiency, η̄F, with nondimensional maximum leading edge slope, κ, and leading edge coordination (phase) angle, α. The data point corresponds to the experimental conditions of Fig. 1.

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