Skip to main content
SpringerLink
Log in

Unsteady Transonic Aerodynamics and Aeroelasticity

  • Conference paper
Recent Advances in Aerodynamics

Abstract

Four principal questions are discussed.

  1. (1)

    Under what conditions are the aerodynamic forces essentially linear functions of the airfoil motion?.

  2. (2)

    Are there viable alternative methods to finite difference procedures for solving the relevant fluid dynamical equations?.

  3. (3)

    Under those conditions when the aerodynamic forces are non-linear functions of the airfoil motion, what is the significance of the multiple (nonunique) solutions which are sometimes observed?.

  4. (4)

    What are effective, efficient computational procedures for using unsteady transonic aerodynamic computer codes in aeroelastic (e.g., flutter) analyses?.

This work is supported by AFOSR Grant 81-0213A. Dr. Anthony Amos is the technical monitor.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Albano, E. and W. P. Rodden. “A Doublet Lattice Method for Cal-culating Lift Distribution on Oscillating Wings in Subsonic Flows,” AIAA Journal, 7 (1969), 279–85.

    Article  ADS  MATH  Google Scholar 

  2. Ballhaus, W. F. and Goorjian, P. M. “Implicit Finite Difference Computations of Unsteady Transonic Flows About Airfoils,” AIAA Journal, 15 (1977), 1728–35.

    Article  ADS  MATH  Google Scholar 

  3. “Efficient Solution of Unsteady Transonic Flows About Airfoils,” Paper 14, AGARD Conference Proceedings No. 226, Unsteady Airload in Separated and Transonic Flows, 1978a.

    Google Scholar 

  4. “Computation of Unsteady Transonic Flows by the Indicial Method,” AIAA Journal, 16, No. 2 (1978b), 117–24.

    Google Scholar 

  5. Bauer, R., Garabedian, P., and Korn, D. “Supercritical Wing Sec-tions,” Lecture Notes in Economics and Mathematical Systems, 66, Springer-Verlag, 1972.

    Google Scholar 

  6. Bland, S. R. and Edwards, J. W. “Airfoil Shape and Thickness Effects on Transonic Airloads and Flutter,” AIAA SDM Conference in Lake Tahoe, CA, May 1983, AIAA Paper No. 83–0959.

    Google Scholar 

  7. Borland, C. J. and Rizzetta, D. P. “Transonic Unsteady Aerodynamics for Aeroelastic Applications, I: Technical Development Summary,” AFWAL TR 80–8107, I, June 1982a.

    Google Scholar 

  8. “Nonlinear Transonic Flutter Analysis,” AIAA Journal, 20, No. 11 (1982b), 1606–15.

    Google Scholar 

  9. Borland, C. J., Rizzetta, D. P., and Yoshihara, H. “Numerical Solution of Three-Dimensional Unsteady Transonic Flow Over Swept Wings,” AIAA Journal, 20, No. 3 (1982), 340–47.

    Article  ADS  MATH  Google Scholar 

  10. Cockey, W. D. “Panel Method for Perturbations of Transonic Flows With Finite Shocks,” Ph.D. thesis, Princeton University, June 1983.

    Google Scholar 

  11. Davis, S. S. and Malcolm, G. “Experiment in Unsteady Transonic Flows,” Proc. of the AIAA/ASME/ASCE 20th Structures, Structural Dynamics and Materials Conference, St. Louis, MO, April 1979.

    Google Scholar 

  12. Dowell, E. H. “A Simple Method for Converting Frequency-Domain Aerodynamics to the Time Domain,” NASA TM 81844, 1980.

    Google Scholar 

  13. Dowell, E. H., Bland, S. R., and Williams, M. H. “Linear/Nonlinear Behavior in Unsteady Transonic Aerodynamics,” AIAA Journal, 21 (1983), 38–46.

    Article  ADS  MATH  Google Scholar 

  14. Dowell, E. H., Ueda, T., and Goorjian, P. M. “Transient Decay Times and Mean Values of Unsteady Oscillations in Transonic Flow,” AIAA Journal, 21, No. 12 (1983), 1762–64.

    Google Scholar 

  15. Edwards, J. W., et al. “Time-Marching Transonic Flutter Solutions Including Angle-of-Attack Effects,” AIAA Paper 82-0685, presented at the 23rd SDM Conference, New Orleans, LA, May 1982.

    Google Scholar 

  16. Ehlers, F. E. and Weatherill, W. H. “A Harmonic Analysis Method for Unsteady Transonic Flow and its Application to the Flutter of Airfoils,” NASA CR-3537, 1982.

    Google Scholar 

  17. Fung, K. Y., Yu, N. J., and Seebass, R. “Small Unsteady Perturbations in Transonic Flows,” AIAA Journal, 16 (1978), 815–22.

    Article  Google Scholar 

  18. Goldstein, M. E. Aeroacoustics, New York: McGraw-Hill, 1976.

    MATH  Google Scholar 

  19. Goorjian, P. M. Private communication, NASA Ames Research Center.

    Google Scholar 

  20. Hessenius, K. A. and Goorjian, P. M. “Validation of LTRAN2-HI by Comparison With Unsteady Transonic Experiment,” AIAA Journal, 20, No. 5 (1982), 731–32.

    Google Scholar 

  21. Hounjet, M.H.L. “A Transonic Panel Method to Determine Loads on Oscillating Airfoils With Shocks,” AIAA Journal, 19 (1981a), 559–66.

    Article  ADS  MATH  Google Scholar 

  22. “A Field Panel Method for the Calculation of In-viscid Transonic Flow About Thin Oscillating Airfoils With Shocks,” NLR MP 81043 U, National Aerospace Laboratory, Netherlands. Presented at the International Symposium on Aeroelasticity, Nuremburg, October 5–7, 1981b, Germany.

    Google Scholar 

  23. Hoirwink, R. and van der Vooren, J. “Improved Version of LTRAN2 for Unsteady Transonic Flow Computations,” AIAA Journal, 18, No. 8 (1980), 1008–10.

    Google Scholar 

  24. Hsu, J. C. and Meyer, A. U. Modern Control Principles and Applications, New York: McGraw-Hill, 1968.

    MATH  Google Scholar 

  25. Isogai, K. “Numerical Study of Transonic Flutter of a Two-Dimensional Airfoil,” Technical Report of National Aerospace Laboratory, Japan, NAL-TR-617T, 1980.

    Google Scholar 

  26. Kerlick, G. D. and Nixon, D. “Mean Values of Unsteady Oscillations in Transonic Flow Calculations,” AIAA Journal, 19, No. 11 (1981), 1496–98.

    Article  ADS  MATH  Google Scholar 

  27. Lighthill, M. J. “On Boundary Layers and Upstream Influence, II; Supersonic Flows Without Separation,” Proceedings of the Royal Society, A217(1953), 478–507.

    Google Scholar 

  28. Liu, D. D. “A Lifting Surface Theory Based on an Unsteady Linearized Transonic Flow Model,” AIAA Paper 78–501, 1978.

    Google Scholar 

  29. Magnus, R. J. and Yoshihara, H. “Calculation of Transonic Flow Over an Oscillating Airfoil,” AIAA Paper 75–98, Jan. 1975.

    Google Scholar 

  30. McCroskey, W. J. “Unsteady Airfoils,” Annual Review of Fluid Mechanics, 14 (1982), 285–311.

    Article  ADS  Google Scholar 

  31. Mcintosh, S. private communication.

    Google Scholar 

  32. Miles, J. W. The Potential Theory of Unsteady Supersonic Flow, Cambridge: Cambridge University Press, 1959, 4–13.

    MATH  Google Scholar 

  33. Morino, L. “A General Theory of Unsteady Compressible Potential Aerodynamics,” NASA CR-2464, December 1974.

    Google Scholar 

  34. Morino, L. and K. Tseng. “Time-Domain Green’s Function Method for Three-Dimensional Nonlinear Subsonic Flows,” AIAA Paper 78–1204, 1978.

    Google Scholar 

  35. Murman, E. M. “Analysis of Embedded Shock Waves Calculated by Relaxation Methods,” Proceedings of the AIAA CFD Conference, July 1973, 27–40.

    Google Scholar 

  36. Nixon, D. “Calculation of Unsteady Transonic Flows Using the Integral Equation Method,” AIAA Paper 78–18, January 1978.

    Google Scholar 

  37. “On the Derivation of Universal Indicial Functions,” AIAA Paper 81–0828, Jan. 1981.

    Google Scholar 

  38. Nixon, D. and Kerlick, G. D. “Calculation of Unsteady Transonic Pressure Distributions by Indicial Methods,” Nielsen Engineering and Research Paper 117, 1980.

    Google Scholar 

  39. Rizzetta, D. P. and Borland, C. J. “Unsteady Transonic Flow Over Wings Including Inviscid/Viscous Interactions,” AIAA Journal, 21, No. 3 (1983), 363–71.

    Article  ADS  MATH  Google Scholar 

  40. Salas, M. D., Jameson, A., and Melnik, R. E. “A Comparative Study of the Nonuniqueness Problem of the Potential Equation,” presented at the 6th AIAA CFD Conference, Danvers, Mass., July 13–15, 1983.

    Google Scholar 

  41. Seebass, R. “Advances in the Understanding and Computation of Unsteady Transonic Flows,” Recent Advances in Aerodynamics, ed. A. Krothapalli and C. Smith, 1984.

    Google Scholar 

  42. Steinhoff, J. and Jameson, A. “Multiple Solutions of the Transonic Potential Flow Equations,” AIAA Paper No. 81–1019, AIAA Computational Fluid Dynamics Conference, Palo Alto, CA, June 1981.

    Google Scholar 

  43. Taylor, R. F., Bogner, F. K., and Stanley, E. C. “A Stability Prediction Method for Nonlinear Aeroelasticity,” AIAA Paper 80-0797, presented at the AIAA/ASME/AHS/ASCE Conference, Seattle, WA, May 12–14, 1980.

    Google Scholar 

  44. Tijdeman, H. “Investigation of the Transonic Flow Around Oscillating Airfoils,” Ph.D. thesis, Delft University, 1977.

    Google Scholar 

  45. Tijdeman, H. and Seebass, R. “Transonic Flow Past Oscillating Airfoils,” Annual Review of Fluid Mechanics, 12 (1980), 181–222.

    Article  ADS  Google Scholar 

  46. Tran, C. T. and Petot, M. “Semi-empirical Model for the Dynamic Stall of Airfoils in View of the Application of Responses of a Helicopter Blade in Forward Flight,” Paper 48, Proceedings, 6th European Rotorcraft and Powered-lift Aircraft Forum, Bristol, England, 1980.

    Google Scholar 

  47. Ueda, T. and Dowell, E. H. “Flutter Analysis Using Nonlinear Aero-dynamic Forces,” AIAA Paper 82–0728, 1982.

    Google Scholar 

  48. “Describing Function Flutter Analysis for Transonic Flow: Extension and Comparison With Time Marching Analysis,” AIAA Paper 83–0958, 1983.

    Google Scholar 

  49. Voss, R. “Time-Linearized Calculation of Two-Dimensional Unsteady Transonic Flow at Small Disturbances,” DFVLR FB-81–01, 1981.

    Google Scholar 

  50. Williams, M. H. “Unsteady Thin Airfoil Theory for Transonic Flows With Embedded Shocks,” Department of Mechanical and Aerospace Engineering, Report No. 1876, Princeton University, May 1978; also AIAA Journal, 18 (1980), 615–24; also see “Unsteady Airloads in Supercritical Transonic Flows,” Proceedings of the AIAA/ASME/ ASCE 20th Structures, Structural Dynamics and Materials Conference, St. Louis, MO, April 1979b.

    Google Scholar 

  51. “The Linearization of Transonic Flows Containing Shocks,” AIAA Journal, 17 (1979a), 394–97.

    Google Scholar 

  52. Williams, M. H., et al. “Aerodynamic Effects of Inviscid Parallel Shear Flows,” AIAA Journal, 15, No. 8 (1977), 1159–66.

    Article  Google Scholar 

  53. Yang, T. Y., Guruswamy, P., and Striz, A. G. “Aeroelastic Response Analysis of Two-Dimensional, Single and Two Degree of Freedom Airfoils in Low Frequency, Small-Disturbance Unsteady Transonic Flow,” AFFDL-TR-79–3077, 1979.

    Google Scholar 

  54. “Application of Tran-sonic Codes to Flutter Analysis of Conventional and Supercritical Airfoils,” AIAA SDM Conference in Atlanta, GA, AIAA Paper 81–0603, 1981.

    Google Scholar 

  55. Yang, T. Y., et al. “Flutter Analysis of a NACA 64A006 Airfoil in Small Disturbance Transonic Flow,” J. Aircraft, 17, No. 4 (1980), 225–32.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Duke University, Durham, NC, 27706, USA

    Earl H. Dowell (Dean)

  2. School of Engineering, Duke University, Durham, NC, 27706, USA

    Earl H. Dowell (Dean)

Authors
  1. Earl H. Dowell
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering FAMU/FSU College of Engineering, The Florida State University, Tallahassee, FL, 32306, USA

    Anjaneyulu Krothapalli

  2. NASA Ames Research Center, Moffett Field, CA, 94035, USA

    Charles A. Smith

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag New York Inc.

About this paper

Cite this paper

Dowell, E.H. (1986). Unsteady Transonic Aerodynamics and Aeroelasticity. In: Krothapalli, A., Smith, C.A. (eds) Recent Advances in Aerodynamics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4972-6_2

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-4972-6_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-9379-8

  • Online ISBN: 978-1-4612-4972-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation