Skip to main content

Application of Geometrical Acoustics to Propagation of High Frequency Jet Noise

  • Conference paper
Computational Aeroacoustics

Part of the book series: ICASE/NASA LaRC Series ((ICASE/NASA))

  • 594 Accesses

Abstract

High frequency geometrical acoustics based on ray-tracing methods is used to compute the spherical directivity of noise radiated from a convecting quadrupole source. The source is placed at an arbitrary position within a spreading jet. The propagation equations are solved in their general form in a rectangular coordinate system. The directivity pattern for an observer in the far field is obtained by applying an iteration scheme that finds the particular ray that connects the source point to the observer. Factors influencing the zone of silence are discussed. The formation of caustic as a result of reduction in ray tube area and the exact location where it appears is demonstrated. Finally the noise directivity due to a ring source convecting along an axisymmetric jet is obtained by a simple integration on the azimuthal directivity of compact quadrupole sources distributed on the ring.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Avila, G. S. S., and Keller, J. B., 1963. “The high frequency asymptotic field of a point source in an inhomogeneous medium,” Comm. Pure Appl. Math. 16, pp. 363–381.

    Article  MathSciNet  MATH  Google Scholar 

  • Balsa, T. F., 1976. “The far field of high frequency convected singularities in sheared flows, with application to jet-noise prediction,” JFM 74, pp. 193–208.

    Article  ADS  MATH  Google Scholar 

  • Balsa, T. F., 1977. “The acoustic field of sources in shear flow with application to jet noise: convective amplification,” JFM 79, pp. 33–47.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Candel, S. M., 1977. “Numerical solution of conservation equations arising in linear wave theory: Application to aeroacoustics,” JFM 83, pp. 465–493.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Durbin, P. A., 1983a. “High frequency Green function for aerodynamic noise in moving media, Part I: General theory,” J. Sound Vibration 91(4), pp. 519–525.

    Article  ADS  MATH  Google Scholar 

  • Durbin, P. A., 1983b. “High frequency Green function for aerodynamic noise in moving media, Part II: Noise from a spreading jet,” J. Sound Vibration 91(4), pp. 527–538.

    Article  ADS  MATH  Google Scholar 

  • Ffowcs Williams, J. E., 1963. “The noise from turbulence convected at high speed,” Philos. Trans. Roy. Soc. London A255, pp. 469–503.

    ADS  Google Scholar 

  • Gliebe, P. R. and Balsa, T. F., 1976. “The aerodynamics and acoustics of coaxial jet noise,” AIAA Paper 76–492.

    Google Scholar 

  • Goldstein, M. E., 1975. “The low frequency sound from multipole sources in axisymmetric shear flows,” JFM 70, pp. 595–604.

    Article  ADS  MATH  Google Scholar 

  • Goldstein, M. E., 1976a. Aeroacoustics, McGraw-Hill.

    MATH  Google Scholar 

  • Goldstein, M. E., 1976b. “The low frequency sound from multipole sources in axisymmetric shear flows — Part II,” JFM 75, pp. 17–28.

    Article  ADS  MATH  Google Scholar 

  • Goldstein, M. E., 1982. “High frequency sound emission from moving point multipole sources embedded in arbitrary transversely sheared mean flows,” J. Sound Vibration 80(4), pp. 499–522.

    Article  ADS  MATH  Google Scholar 

  • Groesbeck, D. E., Huff, R. G., and von Glahan, U. H., 1977. “Comparison of jet Mach number decay data with a correlation and jet spreading contours for a large variety of nozzles,” NASA TN D-8423.

    Google Scholar 

  • Jones, D. S., 1977. “The mathematical theory of noise shielding,” Progress in Aerospace Science 17, pp. 149–229.

    Article  ADS  Google Scholar 

  • Kay, I. and Keller, J. B., 1954. “Asymptotic evaluation of the field at a caustic,” J. Applied Physics, 25, pp. 876–883.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Keller, J. B., 1958. Geometrical Theory of Diffraction, Calculus of Variations and its Applications, Proc. Symposia Appl. Math., Vol. 8, pp. 27–52, McGraw-Hill, NY.

    Google Scholar 

  • Khavaran, A., Krejsa, E. A., and Kim, C. M., 1992. “Computation of supersonic jet mixing noise for an axisymmetric CD nozzle using turbulence model,” AIAA Paper 92–0500, Also NASA TM-105338.

    Google Scholar 

  • Lighthill, M. J., 1962. “Sound generated aerodynamically,” Proc. Roy. Soc, A267, pp. 147–182.

    ADS  Google Scholar 

  • Lighthill, M. J., 1972. “The fourth annual fairey lecture: The propagation of sound through moving fluids,” J. Sound Vibration 24(4), pp. 471–479.

    Article  ADS  MATH  Google Scholar 

  • Ludwig, D., 1966. “Uniform asymptotic expansions at a caustic,” Comm. Pure Appl. Math. 19, pp. 215–250.

    Article  MathSciNet  MATH  Google Scholar 

  • Mani, R., et al., 1977. “High velocity jet noise source location and reduction,” Task 2, FAA-RD-76–79–11.

    Google Scholar 

  • Scott, J. N., 1979. “Propagation of sound waves through linear shear layer,” AIAA Journal, 17, pp. 237–244.

    Article  ADS  MATH  Google Scholar 

  • Stone, J. R., Groesbeck, D. E., and Zola, C. L., 1981. “An improved prediction method for noise generated by conventional profile coaxial jets,” AIAA Paper 81–1991, Also NASA TM-82712.

    Google Scholar 

  • Tester, B. J. and Morfey, C. L., 1976. “Developments in jet noise modeling — theoretical predictions and comparisons with measured data,” J. Sound Vibration 46(1), pp. 79–103.

    Article  ADS  Google Scholar 

  • Zauderer, E., 1970. “Uniform asymptotic solutions of the reduced wave equation,” J. Math. Anal. Appl. 30, pp. 157–171.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag New York, Inc.

About this paper

Cite this paper

Khavaran, A. (1993). Application of Geometrical Acoustics to Propagation of High Frequency Jet Noise. In: Hardin, J.C., Hussaini, M.Y. (eds) Computational Aeroacoustics. ICASE/NASA LaRC Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8342-0_27

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-8342-0_27

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8344-4

  • Online ISBN: 978-1-4613-8342-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics