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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.

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References

  • Amiet, R. K. (1971). Transmission and reflection of sound by a blade row. AIAA Journal, 9, 71–181.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • Bleistein, N. & Handelsman, R. A. (1975). Asymptotic expansions of integrals. Ardent Media.

    Google Scholar 

  • Chapman, C. J. (2002). High-speed leading-edge noise. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 459, 2131–2151.

    Article  ADS  Google Scholar 

  • Chapman, C. J. (2003). Some benchmark problems for computational aeroacoustics. Journal of Sound and Vibration, 270, 495–508.

    Article  ADS  Google Scholar 

  • 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.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Article  ADS  Google Scholar 

  • Koch, W. (1971). On the transmission of sound waves through a blade row. Journal of Sound and Vibration, 18, 111–128.

    Article  MATH  ADS  Google Scholar 

  • 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.

    Article  MATH  ADS  Google Scholar 

  • 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.

    Article  MATH  ADS  Google Scholar 

  • 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.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • 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.

    Article  ADS  Google Scholar 

  • Tsai, C. -T. (1992). Effect of airfoil thickness on high-frequency gust interaction noise (PhD thesis, University of Arizona).

    Google Scholar 

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Correspondence to Lorna Ayton .

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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

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