Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Problems in flow acoustics

Willi Möhring, Ernst-August Müller, and Frank Obermeier

Willi Möhring, Ernst-August Müller, and Frank Obermeier

  • Max-Planck-Institut für Strömungsforschung und Universität Göttingen, Böttingerstrasse 4-8, D 3400 Göttingen, Federal Republic of Germany

Rev. Mod. Phys. 55, 707 – Published 1 July, 1983

DOI: https://doi.org/10.1103/RevModPhys.55.707

Abstract

The research field "flow acoustics" is defined, and problems of current interest are discussed. The physical interpretation of fluid-mechanical sound sources for an acoustic medium, both at rest and in motion, is addressed. In the first case, it has been possible to relate the sound pressure field for low Mach numbers to sound sources that depend linearly on velocity; progress has been achieved by means of the causality correlation method with the application of laser-Doppler velocity measurements. In the theory of the acoustic medium in motion, it has been found that vortices downstream from a nozzle discharge can function as sound sinks; for a unidirectional mean flow, conditions for the sound sources are developed on the basis of the causality principle and the boundedness of the flow quantities. Experimental and theoretical results for flowfield oscillations in a high-velocity duct flow with sudden duct enlargement are discussed. Finally, some points concerning the influence of shear flow on sound propagation are described.

References (126)

  1. Albers, M., 1979, "Untersuchung einer transsonischen Strömungsschwingung mittels Echtzeit-Laser-Doppler-Anemometrie," doctoral dissertation (University of Göttingen)
  2. Anderson, J. S., G. Grabitz, W. M. Jungowski, G. E. A. Meier, and K. J. Witczak, 1978, "Base pressure oscillation in a rectangular duct with an abrupt enlargement," Arch. Mech. 30, 4-5 Warsaw, 337-351 "Oscillations of the supersonic flow downstream of an abrupt increase in duct cross section," appeared in Mitteilungen aus dem Max-Planck-Institut für Strömungsforschung und der Aerodynamischen Versuchsanstalt Göttingen Nr. 65
  3. Anderson, J. S., and G. E. A. Meier, 1982, "Steady and non-steady transonic flow in a duct with a sudden enlargement," Max-Planck-Institut für Strömungsforschung Göttingen, Bericht 1/1982
  4. Astley, R. J., and W. Eversman, 1979, "A finite element formulation of the eigenvalue problem in lined ducts with flow," J. Sound Vib. 65, 61
  5. Balsa, T. F., 1976, "The far field of high frequency convected singularities in sheared flows, with an application to jet-noise prediction," J. Fluid Mech. 74, 193
  6. Balsa, T. F.Baltes, H. P., 1978, editor, Inverse Source Problems in Optics, Vol. 9 of Topics in Current Physics (Springer, Berlin)
  7. Bechert, D., 1979, "Sound absorption caused by vorticity shedding, demonstrated with a jet flow," AIAA Paper No. 79-0575 revised version (1980) in J. Sound Vib. 70, 389
  8. Bechert, D., U. Michel, and E. Pfizenmaier, 1977, "Experiments on the transmission of sound through jets," AIAA Paper No. 77-1278
  9. Billingsley, J., and R. Kinns, 1976, "The acoustic telescope," J. Sound Vib. 48, 485
  10. Brocher, E., C. Maresca, and M.-H. Bournay, 1970, "Fluid dynamics of the resonance tube," J. Fluid Mech. 43, 369
  11. Bushell, K. W., 1975, "Measurement and prediction of jet noise in flight," AIAA Paper No. 75-461
  12. Cargill, A. M., 1982, "Low frequency acoustic radiation from a jet pipe—a second order theory," J. Sound Vib. 83, 339
  13. Case, K. M., 1960, "Stability of inviscid plane Couette flow," Phys. Fluids 3, 143
  14. Chu, W. T., J. Laufer, and K. Kao, 1972, "Noise source distribution in subsonic jets," in Inter-Noise 72, Proceedings of the International Conference on Noise Control Engineering, Washington, D.C., edited by M. J. Crocker (Institute of Noise Control Engineering, Poughkeepsie), 472-476
  15. Cocking, B. J., and W. D. Bryce, 1974, "An investigation of the noise of cold air jets under simulated flight conditions," National Gas Turbine Establishment Report R. 334
  16. Cocking, B. J., and W. D. Bryce, 1975, "Subsonic jets in flight based on recent wind-tunnel tests," AIAA Paper No. 75-462
  17. Crighton, D. G., 1979, "Why do the acoustics and the dynamics of a hypothetical mean flow bar on the issue of sound generation by turbulence? " in Proceedings of the Symposium on the Mechanics of Sound Generation in Flows, Göttingen, August 28-31, edited by E.-A. Müller (Springer, Berlin), pp. 1-11
  18. Crighton, D. G., 1981, "Acoustics as a branch of fluid mechanics," J. Fluid Mech. 106, 261
  19. Crighton, D. G., J. E. Ffowcs Williams, and I. C. Cheeseman, 1976, "The outlook for simulation of forward flight effects on aircraft noise," AIAA Paper No. 76-530
  20. Curle, N., 1955, "The influence of solid boundaries upon aerodynamic sound," Proc. R. Soc. London, Ser. A 231, 505
  21. Davies, S. S., 1976, "On an invariant property of acoustic wave guides," J. Acoust. Soc. Am. 59, 264
  22. Doak, P. E., 1972, "Analysis of internally generated sound in continuous materials: 2. A critical review of the conceptual adequacy and physical scope of existing theories of aerodynamic noise, with special reference to supersonic jet noise," J. Sound Vib. 25, 263
  23. Doak, P. E., 1974, "On the respective roles of Helmholtz-type instabilities and acoustic propagation in jet noise generation and radiation," Air Force Aero Propulsion Laboratory, Wright-Patterson Air Force Base, Ohio, Technical Report No. TR-74-24, 52-58
  24. Dowling, A. P., J. E. Ffowcs Williams, and M. E. Goldstein, 1978, "Sound production in a moving stream," Phil. Trans. R. Soc. London, Ser. A 288, 321
  25. Drevet, P., J. P. Duponchel, and J. R. Jacques, 1977, "The effect of flight on jet noise as observed on the Bertin Aérotrain," J. Sound Vib. 54, 173
  26. Eversman, W., and R. J. Astley, 1981, "Acoustic transmission in non-uniform ducts with mean flow, Part I: The method of weighted residuals," J. Sound Vib. 74, 89 "Part II: The finite element method," 74, 103
  27. Eversman, W., and R. J. Beckemeyer, 1972, "Transmission of sound in ducts with thin shear layers—convergence to the uniform flow case," J. Acoust. Soc. Am. 52, 216
  28. Ffowcs Williams, J. E., 1963, "The noise from turbulence convected at high speed," Phil. Trans. R. Soc. London, Ser. A 255, 469
  29. Ffowcs Williams, J. E., 1974, "Sources of sound," in Invited Lectures presented at the 8th International Congress on Acoustics, London, 1-10
  30. Ffowcs Williams, J. E., 1977, "Aeroacoustics," Annu. Rev. Fluid Mech. 9, 447
  31. Ffowcs Williams, J. E., 1982, "Sound sources in aerodynamics—fact and fiction," AIAA J. 20, 307
  32. Ffowcs Williams, J. E., and D. C. Hawkings, 1969, "Sound generation by turbulence and surfaces in arbitrary motion," Phil. Trans. R. Soc. London, Ser. A 264, 321
  33. Ffowcs Williams, J. E., and M. Purshouse, 1981, "A vortex sheet modelling of boundary-layer noise," J. Fluid Mech. 113, 187
  34. Fisher, M. J., M. Harper-Bourne, and S. A. L. Glegg, 1977, "Jet engine noise source location: The polar correlation technique," J. Sound Vib. 51, 23
  35. Fuchs, H. V., 1978, "Two point correlations of jet noise and their interpretation" (Comments on a paper by H. S. Ribner), J. Sound Vib. 61, 153
  36. Goldstein, M. E., 1975, "The low frequency sound from multipole sources in axisymmetric flows, with applications to jet noise," J. Fluid Mech. 70, 595
  37. Goldstein, M. E., 1976, Aeroacoustics (McGraw-Hill, New York)
  38. Goldstein, M. E., 1979, "Scattering and distortion of the unsteady motion on transversely sheared mean flows," J. Fluid Mech. 91, 601
  39. Goldstein, M. E., 1982, "High frequency sound emission from moving point multipole sources embedded in arbitrary transversely sheared mean flows," J. Sound Vib. 80, 449
  40. Goldstein, M. E., and E. Rice, 1973 "Effects of shear on duct wall impedance," J. Sound Vib. 30, 79
  41. Grosche, F.-R., 1973, "Distribution of sound source intensities in subsonic and supersonic jets," AGARD Conf. Proc. 131, Brussels, 4.1-4.10
  42. Grosche, F.-R., 1979, "How powerful are the experimental techniques of sound source location in aero-acoustics; what prospects are there for an improvement? " in Proceedings of the Symposium on the Mechanics of Sound Generation in Flows, Göttingen, August 28-31, edited by E.-A. Müller (Springer, Berlin), pp. 130-145
  43. Hoch, R. G., and M. Berthelot, 1977, "Use of the Bertin Aérotrain for the investigation of flight effects on aircraft engine exhaust noise," J. Sound Vib. 54, 153
  44. Howe, M. S., 1975a, "Contributions to the theory of aerodynamic sound, with application to excess jet noise and the theory of the flute," J. Fluid Mech. 71, 625
  45. Howe, M. S., 1975b, "The generation of sound by aerodynamic sources in an inhomogeneous steady flow," J. Fluid Mech. 67, 596
  46. Howe, M. S., 1978, "A review of the theory of trailing edge noise," J. Sound Vib. 61, 437
  47. Howe, M. S., 1979a, "On the theory of unsteady high Reynolds number flow through a circular aperture," Proc. R. Soc. London, Ser. A 366, 205
  48. Howe, M. S., 1979b, "Attenuation of sound in a low Mach number nozzle flow," J. Fluid Mech. 91, 209
  49. Howe, M. S., 1979c, "On the role of surface shear stress fluctuations in hydroacoustics," in Proceedings of the Symposium on the Mechanics of Sound Generation in Flows, Göttingen, August 28-31, edited by E.-A. Müller (Springer, Berlin), pp. 190-196
  50. Howe, M. S., 1980, "The dissipation of sound at an edge," J. Sound Vib. 70, 407
  51. Jungowski, W. M., 1978, "Some self induced supersonic flow oscillations," Prog. Aerospace Sci. 18, 151
  52. Kambe, T., and T. Minota, 1981, "Sound radiation from vortex systems," J. Sound Vib. 74, 61
  53. Kambe, T., and T. Murakami, 1979, "Sound generation by head-on collision of two vortex rings," in Proceedings of the Symposium on the Mechanics of Sound Generation in Flows, Göttingen, August 28-31, edited by E.-A. Müller (Springer, Berlin), pp. 123-129
  54. Karamcheti, K., A. B. Bauer, W. H. Shields, G. R. Stegan, and J. P. Woolley, 1969, "Some features of an edge-tone flow field," in Basic Aerodynamic Noise Research, NASA SP-207, pp. 275-304
  55. Kibens, V., 1979, "On the role of vortex pairing in jet noise generation," in Proceedings of the Symposium on the Mechanics of Sound Generation in Flows, Göttingen, August 28-31, edited by E.-A. Müller (Springer, Berlin), pp. 175-181
  56. Ko, S.-H., 1971, "Sound attenuation in lined rectangular ducts with flow and its application to the reduction of aircraft engine noise," J. Acoust. Soc. Am. 50, 1418
  57. Koch, W., 1982, "Resonant acoustic frequencies of flat plate cascades," to be published in J. Sound Vib
  58. Koch, W., and W. Möhring, 1981, "On eigensolutions for discontinuous liners in a duct containing uniform mean flow," AIAA Paper No. 81-2017 AIAA J. 21, 220
  59. Koutsoyannis, S. P., K. Karamcheti, and D. C. Galant, 1980, "Acoustic resonances and sound scattering by a shear layer," AIAA J. 18, 1446
  60. Lee, H. K., and H. S. Ribner, 1972, "Direct correlation of noise and flow of a jet," J. Acoust. Soc. Am. 52, 1280
  61. Lees, L., and C. C. Lin, 1946, "Investigation of the stability of the laminar compressible boundary layer in a compressible fluid," NACA Tech. Notes 1115
  62. Lighthill, M. J., 1952, "On sound generated aerodynamically. I: General theory," Proc. R. Soc. London, Ser. A 211, 564
  63. Lighthill, M. J., 1972, "The 4th Annual Fairey Lecture: The propagation of sound through moving fluids," J. Sound Vib. 24, 471
  64. Lighthill, J., 1978, "Acoustic streaming," J. Sound Vib. 61, 391
  65. Lighthill, J., 1982, "Early development of an `Acoustic Analogy' approach to aeroacoustic theory," AIAA J. 20, 449
  66. Lilley, G. M., 1958, "On the noise from air jets," Aeronautical Research Council (U.K.) 20, 376-N40-FM 2724
  67. Lilley, G. M., 1973, "On the noise from jets," AGARD Conf. Proc. 131, Brussels, 13.1-13.12
  68. Lilley, G. M., P. J. Morris, and B. J. Tester, 1974, "On the theory of jet noise and its applications," in Lockheed-Georgia Company, Aeroacoustics Research and Technology Report LG 74 ER0010, edited by H. E. Plumblee, App. 1, 6-20
  69. Lush, P. A., 1971, "Measurement of subsonic jet noise and comparison with theory," J. Fluid Mech. 46, 477
  70. Mani, R., 1980, "Sound propagation in parallel sheared flows in ducts: the mode estimation problem," Proc. R. Soc. London, Ser. A 371, 393
  71. Marvin, J. G., L. L. Levy, Jr., and H. L. Seegmiller, 1980, "Turbulence modelling for unsteady transonic flows," AIAA J. 18, 489
  72. Meier, G. E. A., 1974, "Ein instationäres Verhalten transsonischer Strömungen," doctoral dissertation (University of Göttingen)
  73. Meier, G. E. A., 1976, "Shock induced flow oscillations in a Laval nozzle," in Proceedings of the IUTAM Symposium Transsonicum II, Göttingen, 8-13 September, 1975, edited by K. Oswatitsch and D. Rues (Springer, Berlin), pp. 252-261
  74. Michalke, A., and U. Michel, 1979, "Prediction of jet noise in flight from static tests," J. Sound Vib. 67, 341
  75. Michel, U., 1981, "Einfluss der Fluggeschwindigkeit auf die Turbulenz im Triebwerkstrahl und seine Folgen für den Strahllärm," DGLR-Vortrag Nr. 81-021, Aachen
  76. Möhring, W., 1973a, "On energy, group velocity and small damping of sound waves in ducts with shear flow," J. Sound Vib. 29, 93
  77. Möhring, W., 1973b, "Instabilitäten in einem durchströmten Kanal mit nachgiebigen Wänden," in Fortschr. Akustik, Deutsche Arbeitsgemeinschaft für Akustik '73, (VDI-Verlag, Düsseldorf) pp. 319-323
  78. Möhring, W., 1976, "Über Schallwellen in Scherströmungen," in Fortschritte der Akustik, Deutsche Arbeitsgemeinschaft für Akustik '76, (VDI-Verlag, Düsseldorf), pp. 543-546
  79. Möhring, W., 1978a, "On vortex sound at low Mach number," J. Fluid Mech. 85, 685
  80. Möhring, W., 1978b, "Acoustic energy flux in nonhomogeneous ducts," J. Acoust. Soc. Am. 64, 1186
  81. Möhring, W., 1979, "Modelling low Mach number noise," in Proceedings of the Symposium on the Mechanics of Sound Generation in Flows, Göttingen, August 28-31, edited by E.-A. Müller (Springer, Berlin), pp. 85-96
  82. Möhring, W., and W. Eversman, 1982, "Conversion of acoustic energy by lossless liners," J. Sound Vib. 82, 371
  83. Möhring, W. F., E.-A. Müller, and F. F. Obermeier, 1969, "Schallerzeugung durch instationäre Strömung als singuläres Störungsproblem," Acustica 21, 184
  84. Möhring, W., and S. Rahman, 1976, "The influence of perturbations of the velocity and speed of sound on the propagation of sound waves in ducts," AIAA Paper No. 76-493
  85. Möhring, W., and S. Rahman, 1979 "Sound generation in a flow near a compliant wall," J. Sound Vib. 66, 557
  86. Mørch, K. A., 1964, "A theory for the mode of operation of the Hartmann air jet generator," J. Fluid Mech. 20, 141
  87. Morfey, C. L., 1979, "Sound radiation from a simulated jet," in Proceedings of the Symposium on the Mechanics of Sound Generation in Flows, Göttingen, August 28-31, edited by E.-A. Müller (Springer, Berlin), pp. 12-18
  88. Müller, E.-A., 1976, "Flow acoustics," in Proceedings of the 14th IUTAM International Congress, 30 August-4 September, Delft, edited by W. T. Koiter (North-Holland, Amsterdam), pp. 155-170
  89. Müller, E.-A., 1980, "Recent progress in understanding basis processes in flow-acoustics," in Acoustics in the 80's, Proceedings of the 10th International Congress on Acoustics, Sydney, July, 1980 (Australian Acoustical Society), Vol. 1, pp. 83-103
  90. Munt, R. M., 1977, "The interaction of sound with a subsonic jet issuing from a semi-infinite cylindrical pipe," J. Fluid Mech. 83, 609
  91. Munt, R. M., 1978, "Acoustic transmission properties of a jet pipe with subsonic jet flow," to be published in J. Sound Vib
  92. Myers, M. K., 1981, "Shock development in sound transmitted through a nearly choked flow," AIAA Paper No. 81-2012
  93. Namba, N., and K. Fukushige, 1980, "Application of the equivalent surface source method to the acoustics of duct systems with non-uniform wall impedance," J. Sound Vib. 73, 125
  94. Nayfeh, A. H., J. E. Kaiser, and D. P. Telionis, 1975, "Acoustics of aircraft engine-duct systems," AIAA J. 13, 130
  95. Obermeier, F., 1977, "The application of singular perturbation methods to aerodynamic sound generation," in Lecture Notes in Mathematics (Springer, Berlin), Vol. 594, pp. 400-421
  96. Obermeier, F., 1979, "On a new representation of aeroacoustic source distribution. I: General theory. II: Two-dimensional model flows," Acustica 42, 56
  97. Obermeier, F., 1980, "The influence of solid bodies on low Mach number vortex sound," J. Sound Vib. 72, 39
  98. Obermeier, F., 1981, "Some comments on the prediction of forward flight effects on jet noise," Max-Planck-Institut für Strömungsforschung, Bericht 20/1981
  99. Parker, R., 1966, "Resonance effects in wake shedding from parallel plates: some experimental observations," J. Sound Vib. 4, 62
  100. Piercy, J. E., T. F. W. Embleton, and L. C. Sutherland, 1977, "Review of noise propagation in the atmosphere," J. Acoust. Soc. Am. 61, 1403
  101. Pinter, R. A., and W. D. Bryce, 1976, "The radiation of plane wave duct noise from a jet exhaust, statically and in flight," AIAA Paper No. 76-581
  102. Pinter, R. A.W. D. BrycePlumblee, H. E., 1976, Editor, Effects of forward velocity on turbulent jet mixing noise, NASA CR-2702
  103. Powell, A., 1964, "Theory of vortex sound," J. Acoust. Soc. Am. 36, 177
  104. Pridmore-Brown, D. C., 1958, "Sound propagation in a fluid flowing through an attenuating duct," J. Fluid Mech. 4, 393
  105. Ribner, H. S., 1962, "Aerodynamic sound from fluid dilatations," University of Toronto, Institut of Aerophysics, Report No. 86
  106. Ribner, H. S., 1975, "Atmospheric propagation and sonic boom," AGARD Lect. Ser. 77, 3.1-3.11
  107. Ribner, H. S., 1977, "On the role of the shear term in jet noise," J. Sound Vib. 52, 121
  108. Ribner, H. S., 1978, "Author's reply to the comments of Fuchs (1978)," J. Sound Vib. 61, 156
  109. Ribner, H. S., 1981, "Perspectives on jet noise," AIAA Paper No. 81-0428
  110. Richarz, W. G., 1979, "Direct correlation of noise and flow of a jet using Laser Doppler," AIAA Paper No. 79-0571 1980, AIAA J. 18, 759
  111. Rockwell, D., and E. Naudascher, 1979, "Self-sustained oscillations of impinging free shear layers," Annu. Rev. Fluid Mech. 11, 67
  112. Sarohia, V., and L. H. Back, 1979, "Experimental investigation of flow and heating in a resonance tube," J. Fluid Mech. 94, 649
  113. Schaffar, M., 1979, "Direct measurements of the correlation between axial in-jet velocity fluctuations and far field noise near the axis of a cold jet," J. Sound Vib. 64, 73
  114. Schaffar, M., and J. P. Hancy, 1982, "Investigation of the noise emitting zones of a cold jet via causality correlations," J. Sound Vib. 81, 377
  115. Scott, J. N., 1979, "Propagation of sound waves through a linear shear layer," AIAA J. 17, 237
  116. Seegmiller, H. L., J. G. Marvin, and L. L. Levy, Jr., 1978, "Steady and unsteady transonic flow," AIAA J. 16, 1262
  117. Shankar, P. N., 1971, "On acoustic refraction by duct shear layers," J. Fluid Mech. 47, 81
  118. Shankar, P. N., 1972, "Sound propagation in duct shear layers," J. Sound Vib. 22, 221
  119. Siddon, T. E., 1973, "Noise source diagnostics using causality correlations," AGARD Conf. Proc. 131, Brussels, 7.1-7.13
  120. Strouhal, V., 1878, "Über eine besondere Art der Tonerzeugung," Ann. Phys. Chem. 5, 217
  121. Swinbanks, M. A., 1975, "The sound field generated by a source distribution in a long duct carrying sheared flow," J. Sound Vib. 40, 51
  122. Tanna, H. K., 1977, "An experimental study of jet noise. Part I: Turbulent mixing noise," J. Sound Vib. 50, 405
  123. Tester, B. J., and R. H. Burrin, 1974, "On sound radiation from sources in parallel sheared jet flows," Air Force Aero Propulsion Laboratory, Wright-Patterson Air Force Base, Ohio, Technical Report No. TR-74-24, 59-87
  124. Tester, B. J., and C. L. Morfey, 1976, "Developments in jet noise modelling—theoretical predictions and comparison with measured data," J. Sound Vib. 46, 79
  125. Woolley, J. P., and K. Karamcheti, 1974, "Role of jet stability in edgetone generation," AIAA J. 12, 1457
  126. Yates, J. E., 1977, "Interaction with and production of sound by vortex flows," AIAA Paper No. 77-1352

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation