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Aerodynamic design methods for transonic wings*

Published online by Cambridge University Press:  04 July 2016

R. C. Lock
R. C. Lock*
Affiliation:
Centre for Aeronautics , The City University, London
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Summary

A review is given of current methods in theoretical aerodynamics which are useful in the design of aircraft wings for subsonic and transonic speeds. These are of two basic types:

  • (A) direct methods for calculating the flow over a givenwing shape. In the design process, these can be used to obtain a rapid estimate of the effect of a specified change in wing shape. The most practical methods of this type make use of the viscous/inviscid interaction technique; some recent methods are described and examples are given of their use, both in two and three dimensions, including comparisons with experiment.

  • (B) inverse methods in which the shape is calculated explicitly, as a result of either (a) specifying the surface pressure distribution on the wing, or (b) requiring that some suitable ‘target’ function, usually the drag/lift ratio, shall be a minimum. At present, these methods are restricted to inviscid flow.

Several examples of both ‘pressure’ and ‘optimisation’ methods are discussed, and their advantages and limitations considered.

Type
Research Article
Information
The Aeronautical Journal , Volume 94 , Issue 931 , January 1990 , pp. 1 - 16
Copyright
Copyright © Royal Aeronautical Society 1990 

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Footnotes

*

Based on a lecture given to the Royal Aeronautical Society on 1 April 1987.

References

1. Aerospace America, Dec 1986, p 42.Google Scholar
2. Cebeci, T. and Smith, A.M.O. Analysis of turbulent boundary layers, Academic Press, New York, 1974.Google Scholar
3. Baldwin, B. S. and Lomax, H. Thin layer approximation and algebraic model for separated turbulent flows, AIAA Paper 78-257, 1978.Google Scholar
4. Holst, T. L., Kaynak, U., Grundy, K. L., Thomas, S. D., Flores, J., and Chaderjan, N. M. Transonic wing flows using an Euler/Navier Stokes zonal approach. J Aircr, Jan 1987, 24, (1), pp 17–24.Google Scholar
5. Flores, J., Holst, T. L., Kaynak, U., Grundy, K. L. and Thomas, S. D. Transonic Navier-Stokes Solution Using a Zonal Approach. Part 1 Solution Methodology and Code Validation. AGARD CP 412, Paper 30. 1986.Google Scholar
6. Lock, R. C. and Williams, B. R. Viscous-inviscid interactions in external aerodynamics. Prog Aerosp Sci, 1987, 24, pp 51–171.Google Scholar
7. Green, J. E. and Weeks, D. G. Prediction of Turbulent Boundary Layers in Compressible Flow by a Lag Entrainment Method, ARC R&M 3791, 1973.Google Scholar
8. Smith, P. D. An Integral Prediction Method for Three- Dimensional Compressible Turbulent Boundary Layers, ARC R&M 3739, 1974.Google Scholar
9. Cross, A. G. T. Boundary Layer Calculations Using a Three Parameter Velocity Profile, British Aerospace (Brough), Note YAD 3428, 1980.Google Scholar
10. Ashill, P. R., Wood, R. F. and Weeks, D. J. A Semi-Inverse Version of the Viscous Garabedian and Korn Method, RAE Tech. Rep. 87002, 1987.Google Scholar
11. Johnson, D. A. and King, L. S. A New Turbulence Closure Model for Boundary Layer Flows With Strong Adverse Pressure Gradients and Separation. AIAA Paper 84-0175, 1984.Google Scholar
12. Collyer, M. R. and Lock, R. C. Prediction of viscous effects on steady transonic flow past an aerofoil. Aeronaut Q, Aug 1979. 30, pp 485–505.Google Scholar
13. Garabedian, P. R. and Korn, D. G. Analysis of transonic aerofoils. Commun Pure Appl Math, 1971, 24, pp 841–851.Google Scholar
14. Lock, R. C. A modification to the method of Garabedian and Korn. In: Numerical Methods for the Computation of Transonic Flows with Shock Waves, Fre-Vieweg & Sohn, Braunschweig, 1980.Google Scholar
15. Arthur, M. T. A. A method for calculating subsonic or transonic flows over wings or wing-body combinations with an allowance for viscous effects. AIAA Paper 84-0428, 1984.Google Scholar
16. Firmin, M. C. P. Application of RAE Viscous Flow Methods Near Separation Boundaries for Three Dimensional Wings in Transonic Flow. AGARD CP-412, Paper 26, 1986.Google Scholar
17. Forsey, C. R. and Carr, M. P. The calculation of transonic flow over wings using the exact potential equations. DGLR Symposium on Transonic Configurations, Bad Herzberg, 1978.Google Scholar
18. Smith, P. D. Calculations with the three-dimensional lag- entrainment method. Proceedings SSPA-ITC Workshop on Ship Boundary Layers, 1981.Google Scholar
19. Mangler, W. Die Berechnung eines Tragflugelprofiles mit Vorgeschriebener Druckverteilung. Jahrbuch der Deutschen Luftfahrtforschung. 1938 pp 146–153.Google Scholar
20. Lighthill, M. J. A New Method of Two-Dimensional Aero dynamic Design. A.R.C. R&M 212, 1945.Google Scholar
21. Tranen, T. L. A Rapid Computer-Aided Transonic Airfoil Design Method. AIAA Paper 74-501, 1974.Google Scholar
22. Volpe, G. and Melnik, R. E. Method for designing closed airfoils for arbitrary supercritical speed distributions. J Aircr, 1986, 23, (10), pp 775–782.Google Scholar
23. Albone, C. M., Hall, M. G. and Joyce, G. Numerical solutions for transonic flows past wing-body combinations. IUTAM Symposium Transsonicum II, Springer-Verlag, 1975.Google Scholar
24. Lock, R. C. Research in the UK on finite difference methods for computing steady transonic flows. Ibid 1975.Google Scholar
25. Davis, W. H. JR. Technique for developing design tools for the analysis methods of computational aerodynamics. AIAA J, Sept 1980, 18, pp 1080-1087, 1980.Google Scholar
26. Spreiter, J. R. and Alksne, A. Y. Thin Aerofoil Theory Based on an Approximate Solution of the Transonic Flow Equations. NACA Rep. 1359, 1958.Google Scholar
27. Haney, H. P. A-7 transonic wing designs. In: Transonic Aerodynamics, Progress in Aeronautics, Vol. 81, AIAA Publications, 1981.Google Scholar
28. Cosentino, G. B. and Holst, T. L. Numerical optimisation design of advanced transonic wing configurations. J Aircr, 1986, 23, (3), pp 192–199.Google Scholar
29. Holst, T. L. and Thomas, S. D. Numerical solutions of transonic wing flow fields. AIAA J, 1983, 21, pp 863–870.Google Scholar
30. Gill, P. E. and Murray, W. M. Quasi-Newton methods for unconstrained optimisation. J Inst Math App, 1972, 9.Google Scholar
31. Lock, R. C. Reply to comments, J Aircr, Aug 1987, 24, (8), pp 575–576 Google Scholar
32. Lock, R. C. Prediction of the drag of aircraft at subsonic speeds by viscous/inviscid interaction techniques. AGARD-R-723, Paper 10, 1985.Google Scholar
33. Yu, N. J., Chen, H. C, Samast, S. S. and Rubbert, P. E. Inviscid drag calculations for transonic flows. AIAA Paper 83- 1928, 1983.Google Scholar
34. Lock, R. C. The prediction of the drag of aerofoils and wings at high subsonic speeds. Aeronaut J, June-July 1986, 90, (896), pp 207–226.Google Scholar