Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
This method is repeated in detail in the first appendix of the next chapter. We have chosen to include full details of the method for that solution because of the errors found in Tsai (1992).
- 2.
Again, full details of this method will be covered in the first appendix of the next chapter because of errors in Tsai’s results.
References
Abbott, I. H., & Von Doenhoff, A. E. (1959). Theory of wing sections, including a summary of airfoil data. New York: Courier Dover Publications.
Abramowitz, M., & stegun, I. A. (1964). Handbook of mathematical functions: With formulas, graphs, and mathematical tables. New York: Courier Dover Publications.
Ayton, L. J., & Peake, N. (2013). On high-frequency noise scattering by aerofoils in flow. Journal of Fluid Mechanics, 734, 144–182.
Bleistein, N., & Handelsman, R. A. (1975). Asymptotic expansions of integrals. New York: Ardent Media.
Crighton, D. G. (1985). The Kutta condition in unsteady flow. Annual Review of Fluid Mechanics, 17, 411–445.
Ffowcs Williams, J. E., & Hawkings, D. L. (1969). Sound generation by turbulence and surfaces in arbitrary motion. Philosophical Transactions of the Royal Society A, 264, 321–342.
Goldstein, M. E. (1978). Unsteady vortical and entropic distortions of potential flows round arbitrary obstacles. Journal of Fluid Mechanics, 89, 433–468.
Gradshteyn, I. S., & Ryzhik, I. M. (1980). Table of integrals, series, and products (6th ed.). New York: Academic Press.
Howe, M. S. (1978). A review of the theory of trailing edge noise. Contractor Report Jul Dec 1977 (Vol. 61, pp. 437–465). Cambridge MA: Bolt Beranek and Newman Inc.
Hunt, J. C. R. (1973). A theory of turbulent flow round two-dimensional bluff bodies. Journal of Fluid Mechanics, 61, 625–706.
Jones, D. S. (1966). Generalised functions. New York: McGraw-Hill.
Jones, D. S. (1986). Acoustic and electromagnetic waves. Oxford: Clarendon Press.
Kerschen, E. J., & Balsa, T. F. (1981). Transformation of the equation governing disturbances of a two-dimensional compressible flow. AIAA Journal, 19, 1367–1370.
Kerschen, E. J., & Myers, M. R. (1987). Perfect gas effects in compressible rapid distortion theory. AIAA Journal, 25, 504–507.
Myers, M. R. (1987). Effect of airfoil mean loading on high-frequency gust interaction noise (PhD thesis, University of Arizona).
Myers, M. R., & Kerschen, E. J. (1995). Influence of incidence angle on sound generation by airfoils interacting with high-frequency gusts. Journal of Fluid Mechanics, 292, 271–304.
Myers, M. R., & Kerschen, E. J. (1997). Influence of camber on sound generation by airfoils interacting with high-frequency gusts. Journal of Fluid Mechanics, 353, 221–259.
Noble, B. (1998). Methods based on the Wiener-Hopf technique for the solution of partial differential equations. New York: Chelsea Publications.
Peake, N., & Kerschen, E. J. (2004). Influence of mean loading on noise generated by the interaction of gusts with a cascade: Downstream radiation. Journal of Fluid Mechanics, 515, 99–133.
Thwaites, B. (1960). Incompressible aerodynamics: An account of the theory and observation of the steady flow of incompressible fluid past aerofoils, wings, and other bodies. New York: Dover Publications.
Tsai, C. -T. (1992). Effect of airfoil thickness on high-frequency gust interaction noise (PhD thesis, University of Arizona).
Van der Waerden, B. L. (1952). On the method of saddle points. Applied Scientific Research, Section B, 2, 33–45.
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). High-Frequency Sound Generated by Sound-Aerofoil Interaction 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_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-19959-7_2
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)