Unsteady aerodynamics of airfoils encountering traveling gusts and vortices

Journal of Aircraft

Volumn 34, Issue 6, 1997, Pages 719-729

  Leishman, J Gordon ^a,b  

^a UNIVERSITY OF MARYLAND   (United States)

^b AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; FINITE DIFFERENCE METHOD; LIFT; SUBSONIC FLOW; THEOREM PROVING; UNSTEADY FLOW; VORTEX FLOW; WIND EFFECTS;

DUHAMEL SUPERPOSITION; EULER FINITE DIFFERENCE METHOD; INCOMPRESSIBLE FLOW; REVERSE FLOW THEOREMS;

AIRFOILS;

EID: 0031273412     PISSN: 00218669     EISSN: 15333868     Source Type: Journal    
DOI: 10.2514/2.2250     Document Type: Article

References (44)

1. Johnson, W., "Calculation of Blade-Vortex Interaction Airloads on Helicopter Rotors," Journal of Aircraft, Vol. 26, No. 5, 1989, pp. 470-475.
2. Lorber, P. F., "Blade-Vortex Interaction Data Obtained from a Pressure Instrumented Model Rotor," Proceedings of the AHS/RAeS Technical Specialists Meeting of Rotorcraft Acoustics and Fluid Dynamics (Philadelphia, PA), American Helicopter Society, Alexandria, VA, 1991.
3. Schmilz, F. H., and Yu, Y. H., "Helicopter Impulsive Noise: Theoretical and Computational Status," Journal of Sound and Vibration, Vol. 109, No. 3, 1986, pp. 361-422.
4. Schmitz, F. H., "Rotor Noise," Aeroacoustics of Flight Vehicles: Theory and Practice, Vol. 1, NASA RP 1258, Aug. 1991, Chap. 2.
5. Widnall, S., "Helicopter Noise due to Blade-Vortex Interaction," Journal for the Acoustical Society of America, Vol. 50, No. 1 (Pt. 2), 1971, pp. 354-365.
6. Nakamura, Y., "Prediction of Blade-Vortex Interaction Noise from Measured Blade Pressure Distributions," Paper 32, Proceedings of the 7th European Rotorcraft Forum. Garmish-Partenkirchen, FRG, 1981.
7. Brentner, K. S., "Prediction of Helicopter Rotor Discrete Frequency Noise," NASA TM 87721, Oct. 1986.
8. 8Srinivasan, G. R., and McCroskey, W. J., "Numerical Simulations of Unsteady Airfoil Interactions, Vertica, Vol. 11, No. 1/2, 1987, pp. 3-28.
9. Baeder, J. D., "Computation of Non-Linear Acoustics in Two-Dimensional Blade-Vortex Interactions," Paper 16, Proceedings of the 13th European Rotorcraft Forum (Arles, France), 1987.
10. Johnson, W., "A Comprehensive Analytical Model of Rotorcraft Aerodynamics and Dynamics," NASA TM-81182, June 1980.
11. Yu, Y. H., Gmelin, B., Heller, H., Philippe, J. J., Mercker, E., and Preisser, J. S., "Higher Harmonic Control Aeroacoustics Test - The Joint German/French/US HART Project," 20th European Rotorcraft Forum, Amsterdam, The Netherlands, Oct. 1994 (Paper 115).
12. Edwards, J. W., Ashley, H., and Breakwell, J. V., "Unsteady Aerodynamic Modeling for Arbitrary Motions," AIAA Journal, Vol. 17, No. 4, 1979, pp. 365-374.
13. Beddoes, T. S., "Practical Computation of Unsteady Lift," Vertica, Vol. 8, No. 1, 1984, pp. 55-71.
14. Leishman, J. G., and Nguyen, K. Q., "A State-Space Representation of Unsteady Aerodynamic Behavior," AIAA Journal, Vol. 28, No. 5, 1990, pp. 836-845.
15. Lomax, H., "Indicial Aerodynamics," AGARD Manual on Aeroelasticity, Oct. 1968, Chap. 6.
16. Tobak, M., "On the Use of the Indicial Function Concept in the Analysis of Unsteady Motions of Wings and Wing-Tail Combinations," NACA Rept. 1188, Aug. 1954.
17. Wagner, H., "Uber die Entstehung des Dynamischen Auftriesbes von Tragflugeln," Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 5, No. 1, 1925, pp. 17-35.
18. Küssner, H. G., "Zusammemfassender Bericht Under den Instationaren Auftreib von Flugeln," Luftfahrtforschung, Vol. 13, No. 20, 1936, pp. 410-424.
19. von Kárḿan, T., and Sears, W. R., "Airfoil Theory for Non-Uniform Motion," Journal of the Aeronautical Sciences, Vol. 5, No. 10, 1938, pp. 379-390.
20. Sears, W. R., "Some Aspects of Non-Stationary Airfoil Theory and Its Practical Application," Journal of the Aeronautical Sciences, Vol. 8, No. 3, 1941, pp. 104-108.
21. Bisplinghoff, R. L., Ashley, H., and Halfman, R. L., Aeroelasticity, Addison-Wesley, Reading, MA, 1955.
22. Leishman, J. G., "Indicial Lift Approximations for Two-Dimensional Subsonic Flow as Obtained from Oscillatory Measurements," Journal of Aircraft, Vol. 30, No. 3, 1993, pp. 340-351.
23. Leishman, J. G., "Subsonic Unsteady Aerodynamics Caused by Gusts Using the Indicial Method," Journal of Aircraft, Vol. 33, No. 5, 1996, pp. 869-879.
24. Miles, J. W., "The Aerodynamic Force on an Airfoil in a Moving Gust," Journal of the Aeronautical Sciences, Vol. 23, Nov. 1956, pp. 1044-1050.
25. Drischler, J. A., and Diederich, F. W., "Lift and Moment Responses to Penetration of Sharp-Edged Traveling Gusts, with Application to Penetration of Weak Blast Waves," NACA TN 3956, May 1957.
26. Lomax, H., "Lift Developed on Unrestrained Rectangular Wings Entering Gusts at Subsonic and Supersonic Speeds," NACA TN 2925, April 1953.
27. Heaslet, M. A., and Spreiter, J. R., "Reciprocity Relations in Aerodynamics," NACA Rept. 1119, Feb. 1952.
28. von Kármán, T., "Supersonic Aerodynamics-Principles and Applications," Journal of the Aeronautical Sciences, Vol. 14, No. 6, 1947, pp. 373-409.
29. Flax, A. H., "Relations Between the Characteristics of a Wing and its Reverse in Supersonic Flow," Journal of the Aeronautical Sciences, Vol. 16, No. 8, 1949, pp. 496-504.
30. Flax, A. H., "General Reverse Flow and Variational Theorems in Lifting-Surface Theory," Journal of the Aeronautical Sciences, Vol. 19, No. 6, 1952, pp. 361-374.
31. Flax, A. H., "Reverse Flow and Variational Theorems for Lifting Surfaces in Nonstationary Compressible Flow," Journal of the Aeronautical Sciences, Vol. 20, No. 2, 1953, pp. 120-126.
32. Munk, M. M. "The Reversal Theorem of Linearized Supersonic Airfoil Theory," Journal of Applied Physics, Vol. 21, No. 2, 1950, pp. 159-161.
33. Brown, C. E., "The Reversibility Theorem for Thin Airfoils in Subsonic and Supersonic Flow," NACA TN 1944, Sept. 1949.
34. Jones, R. T., "The Minimum Drag of Thin Wings in Frictionless Flow," Journal of the Aeronautical Sciences, Vol. 18, No. 2, 1951, pp. 75-81.
35. Ursel, F., and Ward, G. N., "On Some General Theorems in the Linearized Theory of Compressible Flow," Quarterly Journal of Mechanics and Applied Mathematics, Vol. 3, Pt. 3, 1950, pp. 75-81.
36. Hariharan, N., and Leishman, J. G., "Unsteady Aerodynamics of a Flapped Airfoil in Subsonic Flow by Indicial Concepts," Journal of Aircraft, Vol. 33, No. 5, 1996, pp. 855-868.
37. Ffowcs-Williams, J. E., and Hawkins, D. L., "Sound Generation by Turbulence and Surfaces in Arbitrary Motion," Philosophical Transactions of the Royal Society of London, Series A: Mathematical and Physical Sciences, Vol. 264, May 1969, pp. 321-342.
38. Lomax, H., Heaslet, M. A., Fuller, F. B., and Sluder, L., "Two and Three Dimensional Unsteady Lift Problems in High Speed Flight," NACA Rept. 1077, 1952.
39. McCroskey, W. J., and Goorjian, P. M., "Interactions of Airfoils with Gusts and Concentrated Vortices in Unsteady Transonic Flow," AIAA Paper 83-1691, July 1983.
40. Parameswaran, V., "Concepts for the Reduction of Blade Vortex Interaction Noise and the Use of CFD to Determine Indicial and Gust Responses of an Airfoil in Compressible Flow," Univ. of Maryland, Dept. of Aerospace Engineering, College Park, MD, Aug. 1995.
41. Singh, R., and Baeder, J. D., "The Direct Calculation of Indicial Lift Response of a Wing Using Computational Fluid Dynamics," Proceedings of the AIAA Applied Aerodynamics Conference (New Orleans, LA), AIAA, Reston, VA, 1996, pp. 1041-1050.
42. Mazelsky, B., "Determination of Indicial Lift and Moment of a Two-Dimensional Pitching Airfoil at Subsonic Mach Numbers from Oscillatory Coefficients with Numerical Calculations for a Mach Number of 0.7," NACA TN 2613, Feb. 1952.
43. Mazelsky, B., and Drischler, J. A., "Numerical Determination of Indicial Lift and Moment Functions of a Two-Dimensional Sinking and Pitching Airfoil at Mach Numbers 0.5 and 0.6," NACA TN 2739, July 1952.
44. Srinivasan, G. R., and McCroskey, W. J., "Numerical Simulations of Unsteady Airfoil Interactions, Vertica, Vol. 11, No. 1/2, 1987, pp. 3-28.