A numerical simulation of the hole-tone feedback cycle based on an axisymmetric discrete vortex method and Curle's equation

Journal of Sound and Vibration

Volumn 288, Issue 1-2, 2005, Pages 133-176

  Langthjem, M A ^a   Nakano, M ^a  

^a YAMAGATA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; ACOUSTIC WAVES; COMPUTER SIMULATION; HARMONIC ANALYSIS; JETS; MATHEMATICAL MODELS; NATURAL FREQUENCIES; NOZZLES; OSCILLATIONS; SUSTAINABLE DEVELOPMENT;

CURLE'S EQUATION; DISCRETE VORTEX METHOD; FEEDBACK CYCLE; HOLE-TONE FEEDBACK;

FEEDBACK;

EID: 24344489391     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2004.12.023     Document Type: Article

References (44)

1. Lord Rayleigh, Theory of Sound, Vol. II, Dover Publications, New York, 1896, re-issued 1945.
2. R.C. Chanaud, and A. Powell Some experiments concerning the hole and ring tone Journal of the Acoustical Society of America 37 1965 902 911
3. M.J. Lighthill On sound generated aerodynamically. I. General theory Proceedings of the Royal Society of London A 211 1952 564 587
4. N. Curle The influence of solid boundaries upon aerodynamic sound Proceedings of the Royal Society of London A 231 1955 505 514
5. A. Powell Aerodynamic noise and the plane boundary Journal of the Acoustical Society of America 32 1960 982 990
6. J.E. Ffowcs Williams, and D.L. Hawkings Sound generation by turbulence and surfaces in arbitrary motion Philosophical Transactions of the Royal Society of London A 264 1969 321 342
7. M.S. Howe Acoustics of Fluid-Structure Interaction 1998 Cambridge University Press Cambridge
8. S.J. Hulshoff, A. Hirschberg, and G.C.J. Hofmans Sound production of vortex-nozzle interactions Journal of Fluid Mechanics 439 2001 335 352
9. J. Anthoine, M. Mettenleiter, O. Repellin, J.-M. Buchlin, and S. Candel Influence of adaptive control on vortex-driven instabilities in a scaled model of solid propellant motors Journal of Sound and Vibration 262 2003 1009 1046
10. P.C. Kriesels, M.C.A.M. Peters, A. Hirschberg, and P.J. Wijnands High amplitude vortex-induced pulsations in a gas transport system Journal of Sound and Vibration 184 1995 343 368
11. M.S. Howe Leaky waves and the production of sound by turbulent flow from an elastic nozzle Philosophical Transactions of the Royal Society of London A 354 1996 1 34
12. D. Rockwell, and E. Naudascher Self-sustained oscillations of impinging free shear layers Annual Review of Fluid Mechanics 11 1979 67 94
13. D. Rockwell Oscillations of impinging shear layers AIAA Journal 21 1983 645 664
14. D.G. Crighton The jet edge-tone feedback cycle; linear theory for the operating stages Journal of Fluid Mechanics 234 1992 361 391
15. M.S. Howe Edge, cavity and aperture tones at very low Mach numbers Journal of Fluid Mechanics 330 1997 61 84
16. G.-H. Cottet, and P.D. Koumoutsakos Vortex Methods: Theory and Practice 2000 Cambridge University Press Cambridge
17. S.A.T. Stoneman, K. Hourigan, A.N. Stokes, and M.C. Welsh Resonant sound caused by flow past two plates in tandem in a duct Journal of Fluid Mechanics 192 1988 455 484
18. M.C. Thompson, K. Hourigan, and M.C. Welsh Acoustic sources in a tripped flow past a resonator tube AIAA Journal 30 1992 1484 1491
19. J. Katz, and A. Plotkin Low-Speed Aerodynamics 2001 Cambridge University Press Cambridge
20. E. Acton A modelling of large eddies in an axisymmetric jet Journal of Fluid Mechanics 98 1980 1 31
21. W.J.A. Dahm, C.E. Frieler, and G. Tryggvason Vortex structure and dynamics in the near field of a coaxial jet Journal of Fluid Mechanics 241 1992 371 402
22. X. Jing, and X. Sun Discrete vortex simulation on the acoustic nonlinearity of an orifice AIAA Journal 38 2000 1565 1572
23. B. de Bernardinis, J.M.R. Graham, and K.H. Parker Oscillatory flow around disks and through orifices Journal of Fluid Mechanics 102 1981 279 299
24. J.E. Martin, and E. Meiburg Numerical investigation of three-dimensionally evolving jets subject to axisymmetric and azimuthal perturbations Journal of Fluid Mechanics 230 1991 271 318
25. M. Nitsche, and R. Krasny A numerical study of vortex ring formation at the edge of a circular tube Journal of Fluid Mechanics 276 1994 139 161
26. Sir H. Lamb, Hydrodynamics, Cambridge University Press, Cambridge, 1932, re-issued 1993.
27. P.G. Saffman Vortex Dynamics 1992 Cambridge University Press Cambridge
28. M. Abramowitz, and I.A. Stegun Handbook of Mathematical Functions 1972 Dover Publications New York
29. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery Numerical Recipes in FORTRAN. The Art of Scientific Computing second ed. 1992 Cambridge University Press Cambridge
30. A.J. Majda, and A.L. Bertozzi Vorticity and Incompressible Flow 2002 Cambridge University Press Cambridge
31. G. Tryggvason, W.J.A. Dahm, and K. Sbeih Fine structure of vortex sheet rollup by viscous and inviscid simulation Journal of Fluids Engineering 113 1991 31 36
32. M.S. Howe Theory of Vortex Sound 2003 Cambridge University Press Cambridge
33. P.M. Morse, and H. Feshbach Methods of Theoretical Physics - Part I 1953 McGraw-Hill New York
34. D.G. Crighton, A.P. Dowling, J.E. Ffowcs Williams, M. Heckl, and F.G. Leppington Modern Methods in Analytical Acoustics 1992 Springer London
35. M.J. Lighthill The Bakerian Lecture 1962. Sound generated aerodynamically Proceedings of the Royal Society of London A 267 1962 147 182
36. P.M. Morse, and K.U. Ingard Theoretical Acoustics 1986 Princeton University Press Princeton, NJ
37. V.L. Wells, and R.A. Renaut Computing aerodynamically generated noise Annual Review of Fluid Mechanics 29 1997 161 199
38. O.C. Zienkiewicz Achievements and some unsolved problems with the finite element method International Journal of Numerical Methods in Engineering 47 2000 9 28
39. H. Aref Integrable chaotic and turbulent vortex motion in two-dimensional flows Annual Review of Fluid Mechanics 15 1983 345 389
40. O. Inoue Double-frequency forcing on spatially growing mixing layers Journal of Fluid Mechanics 234 1992 553 581
41. D.G. Crighton Acoustics as a branch of fluid mechanics Journal of Fluid Mechanics 106 1981 261 298
42. C.-M. Ho, and P. Huerre Perturbed free shear layers Annual Review of Fluid Mechanics 16 1984 365 424
43. L. Brevdo A dynamical system approach to the absolute instability of spatially developing localized open flows and media Proceedings of the Royal Society of London A 458 2002 1375 1397
44. Y. Otsuki, Y. Muroya, Shin Sūgaku Kōshiki Shū II (New Mathematical Formulae Collection, Vol. II. Japanese translation of original Russian text), Maruzen, Tokyo, 1991.