Abstract
As illustrated in Chap. 3, Sect. 3.8.2, the unsteady pressure on the nose of an aerofoil during gust-aerofoil interaction in uniform flow was predicted to be singular, which violates the small perturbation assumption, and hence the asymptotic results become invalid in a small region close to the nose of the aerofoil.
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
Abramowitz, M. & Stegun, I. A. (1964). Handbook of mathematical functions: With formulas, graphs, and mathematical tables. New York: Courier Dover Publications.
Amiet, R. K. (1975). Acoustic radiation from an airfoil in a turbulent stream. Journal of Sound and Vibration, 41, 407–420.
Bender, C. M. & Orszag, S. A. (1978). Advanced mathematical methods for scientists and engineers. New York: Springer.
Durbin, P. A. & Pettersson Reif, B. A. (2001). Statistical theory and modeling for turbulent flows. Chichester: Wiley.
Durbin, P. A. (1978). Rapid distortion theory of turbulent flows (PhD thesis, University of Cambridge).
Gershfeld, J. (2004). Leading edge noise from thick foils in turbulent flows. Journal of the Acoustical Society of America, 116, 1416–1426.
Geyer, T., Sarradj, E., & Giesler, J. (2012). Application of a beamforming technique to the measurement of airfoil leading edge noise. Advances in Acoustics and Vibration, 2012, 1–16.
Goldstein, M. E. (1978). Unsteady vortical and entropic distortions of potential flows round arbitrary obstacles. Journal of Fluid Mechanics, 89, 433–468.
Hunt, J. C. R. (1973). A theory of turbulent flow round two-dimensional bluff bodies. Journal of Fluid Mechanics, 61, 625–706.
Kolmogorov, A. N. (1941). The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Doklady Akademiia Nauk SSSR, 30, 301–305.
Lighthill, M. J. (1956). Drift. Journal of Fluid Mechanics, 1, 31–53.
Mish, P. F. (2001). Mean loading and turbulence scale effects on the surface pressure fluctuations occurring on a NACA 0015 airfoil immersed in grid generated turbulence (PhD thesis, Virginia Polytechnic Institute and State University).
Mish, P. F., & Devenport, W. J. (2003). An experimental investigation of unsteady surface pressure on an airfoil in turbulence. Technical Report. Final report to NASA Langley
Sakurai, A., & Arai, T. (1981). Solution of Imai’s equation for compressible flow past a cylinder. Journal of the Physics Society Japan, 50, 3782–3784.
Tsai, C. -T. (1992). Effect of airfoil thickness on high-frequency gust interaction noise (PhD thesis, University of Arizona).
Van Dyke, M. (1975). Perturbation methods in fluid mechanics. Stanford: Parabolic Press.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Ayton, L. (2015). Leading-Edge Stagnation-Point Noise Generated by Turbulence in Subsonic Uniform Flow. In: Asymptotic Approximations for the Sound Generated by Aerofoils in Unsteady Subsonic Flows. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-19959-7_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-19959-7_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19958-0
Online ISBN: 978-3-319-19959-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)