Hostname: page-component-8448b6f56d-xtgtn Total loading time: 0 Render date: 2024-04-19T14:26:34.641Z Has data issue: false hasContentIssue false

Origin of transonic buffet on aerofoils

Published online by Cambridge University Press:  01 June 2009

J. D. CROUCH*
Affiliation:
The Boeing Company, Seattle, WA 98124-2207, USA
A. GARBARUK
Affiliation:
Saint Petersburg Polytechnic University, St Petersburg, 195251Russia
D. MAGIDOV
Affiliation:
Saint Petersburg Polytechnic University, St Petersburg, 195251Russia
A. TRAVIN
Affiliation:
Saint Petersburg Polytechnic University, St Petersburg, 195251Russia
*
Email address for correspondence: jeffrey.d.crouch@boeing.com

Abstract

Buffeting flow on transonic aerofoils serves as a model problem for the more complex three-dimensional flows responsible for aeroplane buffet. The origins of transonic aerofoil buffet are linked to a global instability, which leads to shock oscillations and dramatic lift fluctuations. The problem is analysed using the Reynolds-averaged Navier–Stokes equations, which for the foreseeable future are a necessary approximation to cover the high Reynolds numbers at which transonic buffet occurs. These equations have been shown to reproduce the key physics of transonic aerofoil flows. Results from global-stability analysis are shown to be in good agreement with experiments and numerical simulations. The stability boundary, as a function of the Mach number and angle of attack, consists of an upper and a lower branch – the lower branch shows features consistent with a supercritical bifurcation. The unstable modes provide insight into the basic character of buffeting flow at near-critical conditions and are consistent with fully nonlinear simulations. The results provide further evidence linking the transonic buffet onset to a global instability.

Type
Papers
Copyright
Copyright © Cambridge University Press 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Bartels, R. E. & Edwards, J. W. 1997 Cryogenic tunnel pressure measurements on a supercritical airfoil for several shock buffet conditions. Tech Memo. 110272. NASA.Google Scholar
Bigarella, E. D. V. & Azevedo, J. L. F. 2007 Advanced eddy-viscosity and Reynolds-stress turbulence model simulations of aerospace applications. AIAA J. 45 (10), 23692390.CrossRefGoogle Scholar
Catalano, P. & Amato, M. 2003 An evaluation of RANS turbulence modelling for aerodynamic applications. Aerosp. Sci. Technol. 7 (7), 493509.CrossRefGoogle Scholar
Crouch, J. D., Garbaruk, A. & Magidov, D. 2007 Predicting the onset of flow unsteadiness based on global instability. J. Comput. Phys. 224, 924940.CrossRefGoogle Scholar
Crouch, J. D., Garbaruk, A., Magidov, D. & Jacquin, L. (2009) Global structure of buffeting flow on transonic airfoils. In IUTAM Symposium on Unsteady Separated Flows and Their Control (ed. Braza, M. & Hourigan, K.), Springer. Submitted.Google Scholar
Drazin, P. G. & Reid, W. H. 1981 Hydrodynamic Stability. Cambridge University Press.Google Scholar
Garbaruk, A., Shur, M., Strelets, M. & Spalart, P. R. 2003 Numerical study of wind-tunnel walls effects on transonic airfoil flow. AIAA J. 41 (6), 10461054.CrossRefGoogle Scholar
Israel, D. M. 2006 URANS and VLES: using conventional RANS models for time dependent flows. Paper 2006-3908. AIAA.CrossRefGoogle Scholar
Jacquin, L., Molton, P., Deck, S., Maury, B. & Soulevant, D. 2005 An experimental study of shock oscillation over a transonic supercritical profile. Paper 2005-4902. AIAA.CrossRefGoogle Scholar
Lee, B. H. K. 1990 Oscillatory shock motion caused by transonic shock boundary-layer interaction. AIAA J. 28, 942944.CrossRefGoogle Scholar
Lee, B. H. K. 2001 Self-sustained shock oscillation on airfoils at transonic speeds. Prog. Aero. Sci. 37, 147196.CrossRefGoogle Scholar
Lehoucq, R. B., Sorensen, D. C. & Yang, C. 1998 ARPACK User's Guide. SIAM.CrossRefGoogle Scholar
Mabey, D. G., Welsh, B. L. & Cripps, B. E. 1981 Periodic flows on a rigid 14% thick biconvex wing at transonic speeds. Tech Rep. 81059. Royal Aircraft Establishment.Google Scholar
McDevitt, J. B. & Okuno, A. F. 1985 Static and dynamic pressure measurements on a NACA0012 airfoil in the Ames high Reynolds number facility. Tech Paper 2485. NASA.Google Scholar
Menter, F. R. 1994 Two-equation eddy-viscosity turbulence models for engineering applications. AIAA J. 32 (8), 15981605.CrossRefGoogle Scholar
Pearcey, H. H. 1958 A method for the prediction of the onset of buffeting and other separation effects from wind tunnel tests on rigid models. Report 223. AGARD.Google Scholar
Pearcey, H. H. & Holder, D. W. 1962 Simple methods for the prediction of wing buffeting resulting from bubble type separation. Aero Rep. 1024. National Physical Laboratory.Google Scholar
Roe, P. L. 1981 Approximate Rieman solvers, parameters vectors and difference schemes. J. Comput. Phys. 43, 357372.CrossRefGoogle Scholar
Shur, M. L., Spalart, P. S., Squires, K. D., Strelets, M. Kh. & Travin, A. 2005 Three dimensionality in Reynolds-averaged Navier–Stokes solutions around two-dimensional geometries. AIAA J. 43 (6), 12301242.CrossRefGoogle Scholar
Spalart, P. R. 2000 Trends in Turbulence Treatments. Paper 2000-2306. AIAA.CrossRefGoogle Scholar
Spalart, P. R. & Allmaras, S. R. 1994 A one-equation turbulence model for aerodynamic flows. Rech. Aérosp.. (1), 5–21. Also Paper 92-0439. AIAA.Google Scholar
Strelets, M. 2001 Detached-eddy simulation of massively separated flows. Paper 2001-0879. AIAA.CrossRefGoogle Scholar
Theofilis, V. 2003 Advances in global linear instability analysis of nonparallel and three-dimensional flows. Prog. Aero. Sci., 39, 249315.CrossRefGoogle Scholar
Thiery, M. & Coustols, E. 2006 Numerical prediction of shock induced oscillations over a two-dimensional airfoil: influence of turbulence modelling and test section walls. Intl J. Heat Fluid Flow. 27, 661670.CrossRefGoogle Scholar