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

The forces and power needed for propelling at constant speed an actively swimming flexible fish-like body are calculated. A vortex-lattice method based on a linearized theory is employed and the results are compared against slender body theory predictions, as well as experimental data from an eight-link robotic instrument, the RoboTuna. Qualitative agreement is found between our method and slender body theory; with quantitative agreement over certain parametric ranges and disagreement for other ranges of practical interest

[1]  M. Triantafyllou,et al.  An Efficient Swimming Machine , 1995 .

[2]  Meldon J. Wolfgang Hydrodynamics of flexible-body swimming motions , 1999 .

[3]  M. Triantafyllou,et al.  Oscillating foils of high propulsive efficiency , 1998, Journal of Fluid Mechanics.

[4]  M. Triantafyllou,et al.  Optimal Thrust Development in Oscillating Foils with Application to Fish Propulsion , 1993 .

[5]  M. Chopra,et al.  Large amplitude lunate-tail theory of fish locomotion , 1976, Journal of Fluid Mechanics.

[6]  T. Y. Wu,et al.  Hydromechanics of swimming propulsion. Part 3. Swimming and optimum movements of slender fish with side fins , 1971, Journal of Fluid Mechanics.

[7]  K. Kawachi,et al.  The three-dimensional hydrodynamics of tadpole locomotion. , 1997, The Journal of experimental biology.

[8]  Joseph Katz,et al.  Hydrodynamic propulsion by large amplitude oscillation of an airfoil with chordwise flexibility , 1978, Journal of Fluid Mechanics.

[9]  Pengfei Liu,et al.  A time-domain panel method for oscillating propulsors with both chordwise and spanwise flexibility , 1996 .

[10]  Jon Lien,et al.  Propulsion of a fin whale ( Balenoptera physalus) : why the fin whale is a fast swimmer , 1989, Proceedings of the Royal Society of London. B. Biological Sciences.

[11]  J. N. Newman THE FORCE ON A SLENDER FISH-LIKE BODY , 1973 .

[12]  Triantafyllou,et al.  Near-body flow dynamics in swimming fish , 1999, The Journal of experimental biology.

[13]  N. Bose,et al.  Energy absorption from ocean waves: a free ride for cetaceans , 1990, Proceedings of the Royal Society of London. B. Biological Sciences.

[14]  J. Katz,et al.  Low-Speed Aerodynamics , 1991 .

[15]  C. E. Lan,et al.  A Quasi-Vortex-Lattice Method in Thin Wing Theory , 1974 .

[16]  Bing-Gang Tong,et al.  Analysis of swimming three-dimensional waving plates , 1991, Journal of Fluid Mechanics.

[17]  Ellington,et al.  A computational fluid dynamic study of hawkmoth hovering , 1998, The Journal of experimental biology.

[18]  M. J. Wolfgang,et al.  Drag reduction in fish-like locomotion , 1999, Journal of Fluid Mechanics.

[19]  M. Chopra,et al.  Hydromechanics of lunate-tail swimming propulsion , 1974, Journal of Fluid Mechanics.

[20]  J. E. Kerwin,et al.  Numerical methods for propeller design and analysis in steady flow , 1982 .

[21]  David S. Barrett,et al.  A new paradigm of propulsion and maneuvering for marine vehicles. Discussion. Authors' closure , 1996 .

[22]  David Scott Barrett,et al.  The design of a flexible hull undersea vehicle propelled by an oscillating foil , 1994 .

[23]  Ali H. Nayfeh,et al.  A numerical method for general, unsteady aerodynamics , 1981 .

[24]  J. N. Newman,et al.  A generalized slender-body theory for fish-like forms , 1973, Journal of Fluid Mechanics.

[25]  T. Y. Wu,et al.  Swimming of a waving plate , 1961, Journal of Fluid Mechanics.

[26]  Michael S. Triantafyllou,et al.  Visualization of complex near-body transport processes in flexible-body propulsion , 1999 .

[27]  T. Kambe,et al.  Hydromechanics of lunate-tail swimming propulsion. Part 2 , 1977, Journal of Fluid Mechanics.

[28]  M. Lighthill Note on the swimming of slender fish , 1960, Journal of Fluid Mechanics.

[29]  Joseph Katz,et al.  Large amplitude unsteady motion of a flexible slender propulsor , 1979, Journal of Fluid Mechanics.

[30]  Williams,et al.  Self-propelled anguilliform swimming: simultaneous solution of the two-dimensional navier-stokes equations and Newton's laws of motion , 1998, The Journal of experimental biology.

[31]  Neil Bose,et al.  Propulsive performance of three naturally occurring oscillating propeller planforms , 1993 .

[32]  C. E. Lan,et al.  The unsteady quasi-vortex-lattice method with applications to animal propulsion , 1979, Journal of Fluid Mechanics.