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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
AGARD (1985) Compendium of unsteady aerodynamic measurements, Addendum No.1, AGARD-R-702
Barakos G, Drikakis D (2000) Numerical simulation of transonic buffet flows using various turbulence closures. Int J Heat Fluid Flow 21:620–626
Bauer F, Garabedian P, Korn D (1972) Supercritical wing sections. In: Lecture notes in economics and mathematical systems. Springer, Berlin
Bauer F, Garabedian P, Korn D, Jameson A (1975) Supercritical wing sections II. In: Lecture notes in economics and mathematical systems. Springer, Berlin 1975
Baurdoux HI, Boerstoel JW (1968) Symmetrical transonic potential flows around quasi-elliptical aerofoil sections. Report NLR-TR9007U, National Aerospace Laboratory, NLR, The Netherlands
Dowell EH (eds) (1995) A modern course in aeroelasticity. Kluwer Academic Publishing Groups, Dordrecht
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 1977
Geissler W (2003) Numerical study of buffet and transonic flutter on the NLR7301 airfoil. Aerosp Sci Technol 7:540–550
Goorjian PM, Guruswamy GP (1985) Unsteady transonic aerodynamic and aeroelastic calculations about airfoils and wings, AGARD-CP-374
Guruswamy GP, Obayashi S (1992) Transonic aeroelastic computations on wings using Navier-Stokes equations, AGARD-CP-507
Hounjet MHL, Meijer JJ (1985) Application of time-linearized methods to oscillating wings in transonic flow and flutter, AGARD-CP-374
Jameson A (1999) Re-Engineering the design process through computations. J Aircr 36(1):36–50
Isogai K (1992) Numerical simulation of shock-stall flutter of an airfoil using the Navier-Stokes equations, AGARD CP-507
Jones RT (1946) Properties of low aspect ratio pointed wings at speeds below and above the speed of sound, NACA TN-1032
Kaynak Ü (1985) Computation of transonic separated wing flows using an Euler-Navier stokes zonal approach. Ph.D thesis, Stanford University
Kuethe AM, Chow C-Y (1998) Foundations of aerodynamics, 5th edn. Wiley, New York
Küchemann D (1978) Aerodynamic design of aircraft. Pergamon Press, Oxford
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-35
Landahl MT (1962) Linearized theory for unsteady transonic flow. IUTAM Symposium, Aachen
Lock RC (1962) Some experiments on the design of swept wing body combinations at transonic speeds. IUTAM Symposium, Aachen
Lomax H, Heaslet MA (1956) Recent development in the theory of wing-body wave drag. J Aerosp Sci 23:1061–1074
Malone JB, Ruo SY, Sankar NL (1985) Computation of unsteady transonic flows about two-dimensional and three-dimensional AGARD standard configurations, AGARD-CP-374
McCroskey WJ (1982) Unsteady airfoils. Ann Rev Fluid Mech 14:285–311
McCroskey WJ, Kutler P, Bridgeman JO (1985) Status and prospects of computational fluid dynamics for unsteady transonic flows, AGARD-CP- 374
Murman EM, Cole JD (1971) Calculation of plane steady transonic flows. AIAA J 9(1):114–121
Nieuwland GY, Spee BM (1968), Transonic shock-free flow, fact or fiction? AGARD CP No 35, Transonic Aerodynamics
Polhamus EC (1984) Applying slender wing benefits to military aircraft. J Aircr 21(8):545–559
Witcomb RT (1956) A study of the zero-lift drag-rise characteristics of wing- body combinations near the speed of sound, NACA report 1273
Whitcomb RT, Clark LR (1956) An airfoil shape for efficient flight at supercritical mach numbers, NASA TMX-1109
Yang G, Obayashi S, Nakamichi J (2003) Aileron buzz simulation using an implicit multiblock aeroelastic solver. J Aircr 40(3):580–589
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer Science+Business Media Singapore
About this chapter
Cite this chapter
Gülçat, Ü. (2016). Transonic Flow. In: Fundamentals of Modern Unsteady Aerodynamics. Springer, Singapore. https://doi.org/10.1007/978-981-10-0018-8_6
Download citation
DOI: https://doi.org/10.1007/978-981-10-0018-8_6
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-0016-4
Online ISBN: 978-981-10-0018-8
eBook Packages: EngineeringEngineering (R0)