Abstract
This dissertation has considered various ways in which sound is generated in an aeroengine, with a particular focus towards the sound generated by blade-blade interactions within the engine. We have constructed semi-analytic solutions for certain interactions; gust-aerofoil interaction in steady, subsonic, uniform and shear flows; and sound-aerofoil interaction in steady, subsonic uniform flow. To find these solutions we had to separate the solution domain into various asymptotic regions wherein different behaviour dominated the production of sound. The regions were matched using Van Dyke’s matching rule.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Amiet, R. K. (1971). Transmission and reflection of sound by a blade row. AIAA Journal, 9, 71–181.
Blandeau, V. P., Joseph, P. F., Jenkins, G., & Powles, C. J. (2011). Comparison of sound power radiation from isolated airfoils and cascades in a turbulent flow. Journal of the Acoustical Society of America, 129, 3521–3530.
Bleistein, N. & Handelsman, R. A. (1975). Asymptotic expansions of integrals. Ardent Media.
Chapman, C. J. (2002). High-speed leading-edge noise. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 459, 2131–2151.
Chapman, C. J. (2003). Some benchmark problems for computational aeroacoustics. Journal of Sound and Vibration, 270, 495–508.
Evers, I., & Peake, N. (2002). On sound generation by the interaction between turbulence and a cascade of airfoils with non-uniform mean flow. Journal of Fluid Mechanics, 463, 25–52.
Gill, J., Zhang, X., Joseph, P. F. & Node-Langlois, T. (2013). Effects of real airfoil geometry on leading edge gust interaction noise. 19th AIAA/CEAS Aeroacoustics Conference, Berlin, DE.
Hixon, R., Scott, J. R., Sawyer, S., & Nallasamy, M. (2006). Application of a nonlinear computational aeroacoustics code to the gust-airfoil problem. AIAA Journal, 44, 323–328.
Koch, W. (1971). On the transmission of sound waves through a blade row. Journal of Sound and Vibration, 18, 111–128.
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.
Peake, N., & Kerschen, E. J. (1997). Influence of mean loading on noise generated by the interaction of gusts with a flat-plate cascade: upstream radiation. Journal of Fluid Mechanics, 347, 315–346.
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.
Posson, H., Bériot, H., & Moreau, S. (2013). On the use of an analytical cascade response function to predict sound transmission through an annular cascade. Journal of Sound and Vibration, 332, 3706–3739.
Tsai, C. -T. (1992). Effect of airfoil thickness on high-frequency gust interaction noise (PhD thesis, University of Arizona).
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). Concluding Remarks and Further Work. 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_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-19959-7_6
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)