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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
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.
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.
Balsa, T. F., 1977. “The acoustic field of sources in shear flow with application to jet noise: convective amplification,” JFM 79, pp. 33–47.
Candel, S. M., 1977. “Numerical solution of conservation equations arising in linear wave theory: Application to aeroacoustics,” JFM 83, pp. 465–493.
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.
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.
Ffowcs Williams, J. E., 1963. “The noise from turbulence convected at high speed,” Philos. Trans. Roy. Soc. London A255, pp. 469–503.
Gliebe, P. R. and Balsa, T. F., 1976. “The aerodynamics and acoustics of coaxial jet noise,” AIAA Paper 76–492.
Goldstein, M. E., 1975. “The low frequency sound from multipole sources in axisymmetric shear flows,” JFM 70, pp. 595–604.
Goldstein, M. E., 1976a. Aeroacoustics, McGraw-Hill.
Goldstein, M. E., 1976b. “The low frequency sound from multipole sources in axisymmetric shear flows — Part II,” JFM 75, pp. 17–28.
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.
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.
Jones, D. S., 1977. “The mathematical theory of noise shielding,” Progress in Aerospace Science 17, pp. 149–229.
Kay, I. and Keller, J. B., 1954. “Asymptotic evaluation of the field at a caustic,” J. Applied Physics, 25, pp. 876–883.
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.
Khavaran, A., Krejsa, E. A., and Kim, C. M., 1992. “Computation of supersonic jet mixing noise for an axisymmetric CD nozzle using kε turbulence model,” AIAA Paper 92–0500, Also NASA TM-105338.
Lighthill, M. J., 1962. “Sound generated aerodynamically,” Proc. Roy. Soc, A267, pp. 147–182.
Lighthill, M. J., 1972. “The fourth annual fairey lecture: The propagation of sound through moving fluids,” J. Sound Vibration 24(4), pp. 471–479.
Ludwig, D., 1966. “Uniform asymptotic expansions at a caustic,” Comm. Pure Appl. Math. 19, pp. 215–250.
Mani, R., et al., 1977. “High velocity jet noise source location and reduction,” Task 2, FAA-RD-76–79–11.
Scott, J. N., 1979. “Propagation of sound waves through linear shear layer,” AIAA Journal, 17, pp. 237–244.
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.
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.
Zauderer, E., 1970. “Uniform asymptotic solutions of the reduced wave equation,” J. Math. Anal. Appl. 30, pp. 157–171.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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