Hydrodynamic wake resonance as an underlying principle of efficient unsteady propulsion

Journal of Fluid Mechanics

Volumn 708, Issue , 2012, Pages 329-348

  Moored, K W ^a   Dewey, P A ^a   Smits, A J ^a   Haj Hariri, H ^b  

^a Princeton University   (United States)

^b University of Virginia   (United States)

Author keywords

biological fluid dynamics; instability; swimming flying; wakes jets

Indexed keywords

EFFICIENCY; FINS (HEAT EXCHANGE); HYDRODYNAMICS; NATURAL FREQUENCIES; PLASMA STABILITY; PROPULSION;

BIOLOGICAL FLUIDS; DRIVING FREQUENCIES; PROPULSIVE EFFICIENCIES; SWIMMING/FLYING; THEORETICAL FRAMEWORK; UNDERLYING PRINCIPLES; WAKE INSTABILITIES; WAKES/JETS;

WAKES;

FLUID DYNAMICS; HYDRODYNAMICS; JET FLOW; RESONANCE; SPATIAL ANALYSIS; STABILITY ANALYSIS; SWIMMING; VELOCITY PROFILE; WAKE;

EID: 84866638538     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2012.313     Document Type: Article

References (35)

1. ANDERSON, J. M., STREITLIEN, K., BARRETT, D. S. & TRIANTAFYLLOU, M. S. 1998 Oscillating foils of high propulsive efficiency. J. Fluid Mech. 360, 41-72.
2. BRIDGES, T. J. & MORRIS, P. J. 1984a Differential eigenvalue problems in which the parameter appears nonlinearly. J. Comput. Phys. 55 (3), 437-460.
3. BRIDGES, T. J. & MORRIS, P. J. 1984b Spectral calculations of the spatial stability of non-parallel boundary layers, AIAA Paper 84-0437, AIAA 22nd Aerospace Sciences Meeting.
4. BUCHHOLZ, J. H. J., CLARK, R. P. & SMITS, A. J. 2008 Thrust performance of unsteady propulsors using a novel measurement system, and corresponding wake patterns. Exp. Fluids 45 (3), 461-472.
5. BUCHHOLZ, J. H. J. & SMITS, A. J. 2008 The wake structure and thrust performance of a rigid low-aspect-ratio pitching panel. J. Fluid Mech. 603, 331-366.
6. CHAN, A. S., DEWEY, P. A., JAMESON, A., LIANG, C. & SMITS, A. J. 2011 Vortex suppression and drag reduction in the wake of counter rotating cylinders. J. Fluid Mech. 679, 343-382.
7. CHOMAZ, J. M. 2005 Global instabilities in spatially developing flows: non-normality and nonlinearity. Annu. Rev. Fluid Mech. 37, 357-392.
8. CLARK, R. P. & SMITS, A. J. 2006 Thrust production and wake structure of a batoid-inspired oscillating fin. J. Fluid Mech. 562, 415-429.
9. DEWEY, P. A., CARRIOU, A. & SMITS, A. J. 2012 On the relationship between efficiency and wake structure of a batoid-inspired oscillating fin. J. Fluid Mech. 691, 245-266.
10. GANTMACHER, F. R. 1959 The Theory of Matrices, vol. 1. Chelsea.
11. GASTER, M. 1965 On the generation of spatially growing waves in a boundary layer. J. Fluid Mech. 22, 433-441.
12. GROSCH, C. E. & SALWEN, H. 1978 The continuous spectrum of the Orr-Sommerfeld equation. Part 1. The spectrum and the eigenfunctions. J. Fluid Mech. 87 (1), 33-54.
13. HAJ-HARIRI, H. 1988 Transformations reducing the order of the parameter in differential eigenvalue problems. J. Comput. Phys. 77 (2), 472-484.
14. HELMHOLTZ, H. 1868 On discontinuous movements of fluids. Phil. Mag 36 (4), 337-346.
15. HULTMARK, M., LEFTWICH, M. & SMITS, A. J. 2007 Flowfield measurements in the wake of a robotic lamprey. Exp. Fluids 43 (5), 683-690.
16. HUERRE, P. & MONKEWITZ, P. A. 1985 Absolute and convective instabilities in free shear layers. J. Fluid Mech. 159, 151-168.
17. JIḾENEZ, J. M. 2002 Low Reynolds number studies in the wake of a submarine model using particle image velocimetry. Master's thesis, Princeton University, Princeton, NJ, USA.
18. VON ḰARḾA N, T. & BURGERS, J. M. 1935 General aerodynamic theory-perfect fluids. In Aerodynamic Theory II, (ed. W. F. Durand), pp. 280-310. Dover Publications, 1963.
19. KARNIADAKIS, G. & TRIANTAFYLLOU, G. 1989 Frequency selection and asymptotic states in laminar wakes. J. Fluid Mech. 199, 441-469.
20. KELVIN W. T., LORD 1871 Hydrokinetic solutions and observations. Phil. Mag. 42, 362-377.
21. KOOCHESFAHANI, M. M. 1989 Vortical patterns in the wake of an oscillating airfoil. AIAA J. 27, 1200-1205.
22. LAUDER, G. V. & DRUCKER, E. G. 2002 Forces, fishes, and fluids: hydrodynamic mechanisms of aquatic locomotion. Physiology 17 (6), 235-240.
23. LENTINK, D., MUIJRES, F. T., DONKER-DUYVIS, F. J. & VAN LEEUWEN, J. L. 2008 Vortex-wake interactions of a flapping foil that models animal swimming and flight. J. Expl Biol. 211 (2), 267-273.
24. LEWIN, G. C. & HAJ-HARIRI, H. 2003 Modelling thrust generation of a two-dimensional heaving aerofoil in a viscous flow. J. Fluid Mech. 492, 339-362.
25. MACK, L. M. 1976 A numerical study of the temporal eigenvalue spectrum of the Blasius boundary layer. J. Fluid Mech. 73 (3), 497-520.
26. MATTINGLY, G. E. & CRIMINALE, W. O. 1972 The stability of an incompressible two-dimensional wake. J. Fluid Mech. 51 (2), 233-272.
27. ORSZAG, S. A. 1971 Accurate solution of the Orr-Sommerfeld stability equation. J. Fluid Mech. 50 (4), 689-703.
28. SALWEN, H. & GROSCH, C. E. 1981 The continuous spectrum of the Orr-Sommerfeld equation. Part 2. Eigenfunction expansions. J. Fluid Mech. 104, 445-465.
29. STUART, J. T. 1987 Instability, three-dimensional effects, and transition in shear flows. In Perspectives in Turbulence Studies (ed. H. U. Meier & P. Bradshaw). pp. 1-25. Springer.
30. TAYLOR, G. K., NUDDS, R. L. & THOMAS, A. L. R. 2003 Flying and swimming animals cruise at a Strouhal number tuned for high power efficiency. Nature 425 (6959), 707-711.
31. TRIANTAFYLLOU, G. S., TRIANTAFYLLOU, M. S. & CHRYSSOSTOMIDIS, C. 1986 On the formation of vortex streets behind stationary cylinders. J. Fluid Mech. 170, 461-477.
32. TRIANTAFYLLOU, G. S., TRIANTAFYLLOU, M. S. & GROSENBAUGH, M. A. 1993 Optimal thrust development in oscillating foils with application to fish propulsion. J. Fluids Struct. 7 (2), 205-224.
33. TRIANTAFYLLOU, M. S., TRIANTAFYLLOU, G. S. & GOPALKRISHNAN, R. 1991 Wake mechanics for thrust generation in oscillating foils. Phys. Fluids A 3, 2835.
34. TYTELL, E. D., BORAZJANI, I., SOTIROPOULOS, F., BAKER, T. V., ANDERSON, E. J. & LAUDER, G. V. 2010 Disentangling the functional roles of morphology and motion in the swimming of fish. Integr. Compar. Biol. 50 (6), 1140.
35. WILLIAMSON, C. H. K. & ROSHKO, A. 1988 Vortex formation in the wake of an oscillating cylinder. J. Fluids Struct. 2 (4), 355-381.