Abstract
Recent interest in the application of fish-like propulsion mechanisms to practical engineering systems has led to the development of a three-dimensional numerical method to enable the study of the fluid dynamics associated with flexible-body swimming. Visualization of the near-body and near-wake flow processes has elucidated unique flow manipulation capabilities utilized by the fish, associated with the controlled production and release of body-generated vorticity. In addition, efficient actuation of flow into the oscillating tail allows for energy recovery by the tail from flow perturbations initiated by the upstream flexible-body motions for improved efficiency. In this work, we highlight some of these processes through visualization of the unsteady flow patterns, whose three-dimensionality is more complex than linear theory would suggest. We then compare these results to experimental data of fish swimming dynamics. These comparisons reinforce the applicability of the simulation method as a visualization tool for the study of the hydrodynamic mechanisms of fish-like swimming motions.
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Aleyev, Y., Nekton, Dr. W. Junk b.v., Publishers, The Hague, Netherlands (1977).
Anderson, J., Vorticity control for efficient propulsion, Doctoral Thesis, Massachusetts Institute of Technology and the Woods Hole Oceanographic Institution (1996).
Anderson, J., Streitlien, K., Barrett, D. and Triantafyllou, M., Oscillating foils of high propulsive efficiency, Journal of Fluid Mechanics, 360 (1998), 41–72.
Barrett, D., Propulsive efficiency of a flexible hull underwater vehicle, Doctoral Thesis, Massachusetts Institute of Technology (1996).
Barrett, D., Triantafyllou, M., Yue, D., Grosenbaugh, M. and Wolfgang, M., Drag reduction in fish-like locomotion, Journal of Fluid Mechanics, 392 (1999), 183–212.
Blake, R.W., Fish locomotion (1983) Cambridge University Press, Cambridge.
Chopra, M., Large amplitude lunate-tail theory of fish locomotion, Journal of Fluid Mechanics, 74 (1976), 161–182.
Chopra, M. and Kambe, T., Hydromechanics of lunate-tail swimming propulsion. Part 2., Journal of Fluid Mechanics, 79 (1977), 49–69.
Dewar, H. and Graham, J., Studies of tropical tuna swimming performancein a large water tunnel. III. Kinematics, Journal of Experimental Biology, 192 (1994), 45–59.
Domenici, P. and Blake, R., Review: The kinematics and performance of fish fast-start swimming, Journal of Experimental Biology, 200 (1997), 1165–1178.
Ellington, C.P., The aerodynamics of hovering insect flight. IV. Aerodynamic mechanisms, Philosophic Transactions of the Royal Society London, B 305 (1984), 79–113.
Fierstine, H.L. and Walters, V., Studies in locomotion and anatomy of scombroid fishes, Memoir to the Southern California Academy of Sciences, 6 (1968), 1–31.
Gopalkrishnan, R., Triantafyllou, M., Triantafyllou, G. and Barrett, D., Active vorticity control in a shear flow using a flapping foil, Journal of Fluid Mechanics, 274 (1994), 1–21.
Gray, J., Studies in animal locomotion: VI. The propulsive powers of the dolphin, Journal of Experimental Biology, 13:2 (1936), 192–199.
Harper, D. and Blake, R.W., Fast start performance of rainbow trout Salmo gairdneri and northern pike Esox lucius during escapes, J. Exp. Biol., 150 (1989), 321–342.
von Kármán, T. and Burgess, J., General aerodynamic theory-Perfect fluids, in Aerodynamic theory: Volume 2 (1935) W. Durand ed., Springer-Verlag, Berlin, 346–349.
Katz, J. and Plotkin, A., Low-speed aerodynamics: From wing theory to panel methods (1991) McGraw-Hill, Inc., Series in Aeronautical and Aerospace Engineering, New York, NY.
Krasny, R., Desingularization of periodic vortex sheet roll-up, Journal of Computational Physics, 65 (1986), 292–313.
Lan, C., The unsteady quasi-vortex-lattice method with applications to animal propulsion, Journal of Fluid Mechanics, 93 (1979), 747–765.
Lighthill, M., Mathematical Biofluiddynamics, Society for Industrial and Applied Mathematics, Philadelphia, Pennsylvania (1975).
Liu, H., Wassenberg, R. and Kawachi, K., The three-dimensional hydrodynamics of tadpole swimming, Journal of Experimental Biology, 200 (1997), 2807–2819.
Müller, U., van den Heuvel, B., Stamhuis, E. and Videler, J., Fish foot prints: Morphology and energetics of the wake behind a continuously swimming mullet (Chelon labrosus Risso), Journal of Experimental Biology, 200 (1997), 2893–2906.
Streitlien, K., Triantafyllou, G. and Triantafyllou, M., Efficient foil propulsion through vortex control, AIAA Journal, 34:11 (1996), 2315–2319.
Taneda, S. and Tomonari, Y., An experiment on the flow around a waving plate, J. Phys. Soc. Japan, 36:6 (1974), 1683–1689.
Triantafyllou, M., Triantafyllou, G. and Gopalkrishnan, R., Wake mechanics for thrust generation in oscillating foils, Phys. Fluids A, 3 (1991), 2835–2837.
Triantafyllou, G., Triantafyllou, M. and Grosenbaugh, M., Optimal thrust development in oscillating foils with application to fish propulsion, Journal of Fluids and Structures, 7 (1993), 205–224.
Triantafyllou, M., Barrett, D., Yue, D., Anderson, J., Grosenbaugh, M., Streitlien, K. and Triantafyllou, G., A new paradigm of propulsion and maneuvering for marine vehicles, SNAME Trans., 104 (1996), 81–100.
Videler, J., Fish Swimming, Chapman and Hall, London (1993).
Videler, J. and Hess, F., Fast continuous swimming of two pelagic predators, saithe (Pollachius virens) and mackerel (Scomber scombrus): A kinematic analysis, Journal of Experimental Biology, 109 (1984), 209–228.
Weihs, D., A hydrodynamical analysis of fish turning manoeuvres, Proceedings of the Royal Society of London, B 182 (1972), 59–72.
Weihs, D., The mechanism of rapid starting of slender fish, Biorheology, 10:10 (1973), 343–350.
Wolfgang, M., Hydrodynamics of flexible-body swimming motions, Doctoral Thesis, Massachusetts Institute of Technology (1999).
Wolfgang, M., Anderson, J., Grosenbaugh, M., Yue, D. and Triantafyllou, M., Near-body flow dynamics in swimming fish, Journal of Experimental Biology, 202 (1999), 2303–2327.
Wu, T., Swimming of waving plate, Journal of Fluid Mechanics, 10 (1961), 321–344.
Wu, T., Hydromechanics of swimming propulsion. Parts 1-3, Journal of Fluid Mechanics, 46 (1971)
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Meldon J. Wolfgang IV : He received his Ph.D. in hydrodynamics from the Department of Ocean Engineering at the Massachusetts Institute of Technology in April, 1999. Prior to that, he received his B.S. in Naval Architecture and Marine Engineering from the Webb Institute of Naval Architecture in 1993. He is currently a research engineer in the M.I.T. Ocean Engineering Department, and his research interests include flexible-body hydrodynamics, active flow control, and computational vortex methods.
Michael S. Triantafyllou : He was born and raised in Athens, Greece. Undergraduate studies at the National Technical University of Athens (1969–74), graduate studies at MIT: SM in Ocean Engineering and SM in Mechanical Engineering (1977), ScD in 1979. With the MIT faculty since 1979; currently Professor of Ocean Engineering, Director of the Testing Tank Facility, Chairman of the Joint Committee in Applied Ocean Sciences and Engineering, MIT/WHOI Joint Program in Oceanography. Research work focuses on: The mechanics of cables. Vortex induced vibration of bluff bodies. Generation and control of vorticity for flow control. Biomimetic development of vehicles employing unsteady propulsion and maneuvering (work on RoboTuna highlight paper 1995, Scientific American).
Dick K.P. Yue : He received all his degrees (S.B., S.M. and Sc.D.) from M.I.T. He has been a faculty member at M.I.T. since 1983 and is now Professor of Hydrodynamics and Ocean Engineering. He is also Director of the M.I.T. Vortical Flow Research Laboratory, and Associate Director of the M.I.T. Testing (Tow) Tank Facility. His main research interests are: nonlinear wave hydromechanics; free-surface vortical and turbulent flows; fish hydromechanics and vortex dynamics of moving flexible bodies; and computational methods for engineering mechanics. He is the author or co-author of over 100 publications in these areas.
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Wolfgang, M.J., Triantafyllou, M.S. & Yue, D.K.P. Visualization of complex near-body transport processes in flexible-body propulsion. J Vis 2, 143–151 (1999). https://doi.org/10.1007/BF03181517
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DOI: https://doi.org/10.1007/BF03181517