Power requirements for large-amplitude flapping flight

Journal of Aircraft

Volumn 35, Issue 3, 1998, Pages 352-361

  Hall, Kenneth C ^a,c,d   Pigott, Steven A ^a,c   Hall, Steven R ^b,c,d  

^a DUKE UNIVERSITY   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^c Dept of Mech Eng and Mat Science ^*

^d AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FLIGHT DYNAMICS; LIFT; MATHEMATICAL MODELS; VARIATIONAL TECHNIQUES; VORTEX FLOW; WAKES;

FLAPPING WINGS; INDUCED POWER; PROFILE POWER; USEFUL THRUST POWER;

WINGS;

EID: 0032074193     PISSN: 00218669     EISSN: 15333868     Source Type: Journal    
DOI: 10.2514/2.2324     Document Type: Article

References (28)

1. Rayner, J. M. V., "Wake Structure and Force Generation in Avian Flapping Flight," Acta XX Congressus Internationalis Ornithologici, edited by B. D. Bell, Ornithological Congress Trust Board, Wellington, New Zealand, Vol. 2, 1991, pp. 702-715.
2. Rayner, J. M. V., "A Vortex Theory of Animal Flight. Part 2. The Forward Flight of Birds," Journal of fluid Mechanics, Vol. 91, Pt. 4, 1979, pp. 731-763.
3. Rayner, J. M. V., "On Aerodynamics and the Energetics of Vertebrate Flapping Flight," Fluid Dynamics in Biology, edited by A. Y. Cheer and C. P. van Dam, Vol. 141, Contemporary Mathematics, American Mathematical Society, Providence, RI, 1993, pp. 351-400.
4. Rayner, J. M. V., Jones, G., and Thomas, A., "Vortex Flow Visualizations Reveal Change in Upstroke Function with Flight Speed in Bats," Nature, Vol. 321, May 1986, pp. 162-164.
5. Spedding, G. R., "The Wake of a Jackdaw (Corvus monedula) in Slow Flight," Journal of Experimental Biology, Vol. 125, Sept. 1986, pp. 287-307.
6. Spedding, G. R., "The Wake of a Kestrel (falco tinnunculus) in Flapping Flight," Journal of Experimental Biology, Vol. 127, Jan. 1987, pp. 59-78.
7. Spedding, G. R., Rayner, J. M. V., and Pennycuick, C. J., "Momentum and Energy in the Wake of a Pigeon (Columba livia) in Slow Flight," Journal of Experimental Biology, Vol. 111, July 1984, pp. 81-102.
8. Jones, K. D., Dohring, C. M., and Platzer, M. F., "Wake Structures Behind Plunging Airfoils: A Comparison of Numerical and Experimental Results," AIAA Paper 96-0078, Jan. 1996.
9. Wilmott, P., "Unsteady Lifting-Line Theory by the Method of Matched Asymptotic Expansions," Journal of Fluid Mechanics, Vol. 186, Jan. 1988, pp. 303-320.
10. Phlips, P. J., East, R. A., and Pratt, N. H., "An Unsteady Lifting Line Theory of Flapping Wings with Application to the Forward Flight of Birds," Journal of Fluid Mechanics, Vol. 112, Nov. 1981, pp. 97-125.
11. Ahmadi, A. R., and Widnall, S. E., "Unsteady Lifting-Line Theory as a Singular-Perturbation Problem," Journal of Fluid Mechanics, Vol. 153, April 1985, pp. 59-81.
12. Lan, C. E., "The Unsteady Quasi-Vortex-Lattice Method with Applications to Animal Propulsion," Journal of Fluid Mechanics, Vol. 93, Pt. 4, 1979, pp. 747-765.
13. Betz, A., "Schraubenpropeller mit geringstem Energieverlust," Mit einem Zusatz von L. Prandtl, Nachrichten von der Königlichen Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-physikalische Klasse, 1919, pp. 193-217.
14. Goldstein, S., "On the Vortex Theory of Screw Propellers," Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences, Vol. 123, No. 792, 1929, pp. 440-465.
15. Jones, R. T., "Wing Flapping with Minimum Energy," Aeronautical Journal. Vol. 84, July 1980, pp. 214-217.
16. Potze, W., and Sparenberg, J. A., "On the Efficiency of Optimum Finite Amplitude Sculling Propulsion," International Shipbuilding Progress, Vol. 30, No. 351, 1983, pp. 238-244.
17. Hall, S. R., Yang, K. Y. and Hall, K. C., "Helicopter Rotor Lift Distributions for Minimum Induced Power Loss," Journal of Aircraft, Vol. 31, No. 4, 1994, pp. 837-845.
18. Hall, K. C., and Hall, S. R., "Minimum Induced Power Requirements for Flapping Flight," Journal of Fluid Mechanics, Vol. 323, Sept. 1996, pp. 285-315.
19. Sparenberg, J. A., Hydrodynamic Propulsion and Its Optimization: Analytic Theory, Kluwer Academic, Norwell, MA, 1995, pp. 216, 217.
20. De Jong, K., "On the Optimization, Including Viscosity Effects, of Ship Screw Propellers with Optional End Plates (Part I)," International Shipbuilding Progress, Vol. 38, No. 414, 1991, pp. 115-156.
21. De Jong, K., "On the Optimization, Including Viscosity Effects, of Ship Screw Propellers with Optional End Plates (Part II)," International Shipbuilding Progress, Vol. 38, No. 415, 1991, pp. 211-252.
22. Ashley, H., and Landahl, M., Aerodynamics of Wings and Bodies, Addison-Wesley, Reading, MA, 1965, pp. 21-50.
23. Abbot, I. H., Von Doenhoff, A. E., and Stivers, L. S., Jr., "Summary of Airfoil Data," NACA Rept. 824, 1945.
24. Katz, J., and Plotkin, A., Low-Speed Aerodynamics: From Wing Theory to Panel Methods, McGraw-Hill, New York, 1991.
25. Pierre, D. A., and Lowe, M. J., Mathematical Programming via Augmented Lagrangians: An Introduction with Computer Programs, Addison-Wesley, Reading, MA, 1975.
26. Tucker, V. A., "Respiratory Exchange and Evaporative Water Loss in the Flying Budgerigar," Journal of Experimental Biology, Vol. 48, No. 1, 1968, pp. 67-87.
27. Tucker, V. A., "Bird Metabolism During Flight: Evaluation of a Theory," J. Exp. Biol., Vol. 58, No. 3, 1973, pp. 689-709.
28. Tucker, V. A., "Metabolism During Flight in the Laughing Gull, Larus atricilla," American Journal of Physiology, Vol. 222, No. 2, 1972, pp. 237-245.