Transonic Flow

Chapter

Abstract

In this chapter we are going to study a special case of an external flow for which the free stream speed of the flow is close to the speed of sound, i.e. the Mach number is about unity. Under this condition the flow is called ‘transonic’. In transonic flows, the linearized version of the potential equation is not sufficient to model the flow; therefore, we resort to nonlinear but simplified version of the potential flow. The local linearization concept introduced by Dowell will be implemented for the series solution of the nonlinear transonic velocity potential.

Keywords

Mach Number Lift Coefficient Transonic Flow Wave Drag Perturbation Potential 
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References

  1. AGARD (1985) Compendium of unsteady aerodynamic measurements, Addendum No.1, AGARD-R-702Google Scholar
  2. Barakos G, Drikakis D (2000) Numerical simulation of transonic buffet flows using various turbulence closures. Int J Heat Fluid Flow 21:620–626CrossRefGoogle Scholar
  3. Bauer F, Garabedian P, Korn D (1972) Supercritical wing sections. In: Lecture notes in economics and mathematical systems. Springer, BerlinGoogle Scholar
  4. Bauer F, Garabedian P, Korn D, Jameson A (1975) Supercritical wing sections II. In: Lecture notes in economics and mathematical systems. Springer, Berlin 1975Google Scholar
  5. Baurdoux HI, Boerstoel JW (1968) Symmetrical transonic potential flows around quasi-elliptical aerofoil sections. Report NLR-TR9007U, National Aerospace Laboratory, NLR, The NetherlandsGoogle Scholar
  6. Dowell EH (eds) (1995) A modern course in aeroelasticity. Kluwer Academic Publishing Groups, DordrechtGoogle Scholar
  7. Ecer A, Akay HU, Gülçat Ü (1977) On the solution of hyperbolic equations using finite element method. In: Symposium on applications of computer methods in engineering, Los Angeles, California, 23–26 Aug 1977Google Scholar
  8. Geissler W (2003) Numerical study of buffet and transonic flutter on the NLR7301 airfoil. Aerosp Sci Technol 7:540–550Google Scholar
  9. Goorjian PM, Guruswamy GP (1985) Unsteady transonic aerodynamic and aeroelastic calculations about airfoils and wings, AGARD-CP-374Google Scholar
  10. Guruswamy GP, Obayashi S (1992) Transonic aeroelastic computations on wings using Navier-Stokes equations, AGARD-CP-507Google Scholar
  11. Hounjet MHL, Meijer JJ (1985) Application of time-linearized methods to oscillating wings in transonic flow and flutter, AGARD-CP-374Google Scholar
  12. Jameson A (1999) Re-Engineering the design process through computations. J Aircr 36(1):36–50Google Scholar
  13. Isogai K (1992) Numerical simulation of shock-stall flutter of an airfoil using the Navier-Stokes equations, AGARD CP-507Google Scholar
  14. Jones RT (1946) Properties of low aspect ratio pointed wings at speeds below and above the speed of sound, NACA TN-1032Google Scholar
  15. Kaynak Ü (1985) Computation of transonic separated wing flows using an Euler-Navier stokes zonal approach. Ph.D thesis, Stanford UniversityGoogle Scholar
  16. Kuethe AM, Chow C-Y (1998) Foundations of aerodynamics, 5th edn. Wiley, New YorkGoogle Scholar
  17. Küchemann D (1978) Aerodynamic design of aircraft. Pergamon Press, OxfordGoogle Scholar
  18. Labrujere TE, Loewe W, Sloof JW (1968) An approximate method for the determination of the pressure distribution on wings in the lower critical speed range, AGARD CP-35Google Scholar
  19. Landahl MT (1962) Linearized theory for unsteady transonic flow. IUTAM Symposium, AachenMATHGoogle Scholar
  20. Lock RC (1962) Some experiments on the design of swept wing body combinations at transonic speeds. IUTAM Symposium, AachenMATHGoogle Scholar
  21. Lomax H, Heaslet MA (1956) Recent development in the theory of wing-body wave drag. J Aerosp Sci 23:1061–1074MathSciNetMATHGoogle Scholar
  22. Malone JB, Ruo SY, Sankar NL (1985) Computation of unsteady transonic flows about two-dimensional and three-dimensional AGARD standard configurations, AGARD-CP-374Google Scholar
  23. McCroskey WJ (1982) Unsteady airfoils. Ann Rev Fluid Mech 14:285–311Google Scholar
  24. McCroskey WJ, Kutler P, Bridgeman JO (1985) Status and prospects of computational fluid dynamics for unsteady transonic flows, AGARD-CP- 374Google Scholar
  25. Murman EM, Cole JD (1971) Calculation of plane steady transonic flows. AIAA J 9(1):114–121CrossRefMATHGoogle Scholar
  26. Nieuwland GY, Spee BM (1968), Transonic shock-free flow, fact or fiction? AGARD CP No 35, Transonic AerodynamicsGoogle Scholar
  27. Polhamus EC (1984) Applying slender wing benefits to military aircraft. J Aircr 21(8):545–559Google Scholar
  28. Witcomb RT (1956) A study of the zero-lift drag-rise characteristics of wing- body combinations near the speed of sound, NACA report 1273Google Scholar
  29. Whitcomb RT, Clark LR (1956) An airfoil shape for efficient flight at supercritical mach numbers, NASA TMX-1109Google Scholar
  30. Yang G, Obayashi S, Nakamichi J (2003) Aileron buzz simulation using an implicit multiblock aeroelastic solver. J Aircr 40(3):580–589Google Scholar

Copyright information

© Springer Science+Business Media Singapore 2016

Authors and Affiliations

  1. 1.IstanbulTurkey

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