Weakly nonlinear gas oscillations in air-filled tubes; solutions and experiments

Acustica

Volumn 86, Issue 5, 2000, Pages 798-810

  Menguy, Ludovic ^a   Gilbert, Joël ^a  

^a UNIVERSITÉ DU MAINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; HARMONIC ANALYSIS; OSCILLATIONS; TUBES (COMPONENTS);

AIR FILLED TUBES; NONLINEAR GAS OSCILLATIONS;

ACOUSTIC WAVE PROPAGATION;

EID: 0040518369     PISSN: 00017884     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. G. Kirschhoff: Uber den Einfluss der Wärmeleitung in einem Gas auf die Schallbewegung [in german]. Poggendorfen Annalen 134 (1868) 177-193.
2. G. Zwickker, C. Kosten: Sound absorbing materials. Elsevier, Amsterdam, 1949.
3. D. G. Crighton: Nonlinear acoustics. - In: Modern Methods in analytical acoustics (lecture notes). Springer-Verlag, London, 1992, 648-670.
4. S. Makarov, M. Ochmann: Nonlinear and thermoviscous phenomena in acoustics, Part II. Acustica 83 (1997) 197-222.
5. A. Hirschberg, J. Gilbert, R. Msallam, A. P. J. Wijnands: Shock waves in trombones. J. Acoust. Soc. Am. 99 (1996) 1754-1758.
6. J. Gilbert, J. F. Petiot: Brass instruments, some theoretical and experimental results. Proceedings of the Institut of Acoustics, ISMA 97, Edinburgh, 1997.
7. G. B. Whitham: On the propagation of weak shock waves. J. Fluid Mech. 1 (1956) 290-318.
8. V. P. Kuznetsov: Equations of nonlinear acoustics. Sov. Phys. Acoust. 19 (1971) 467-470.
9. D. T. Blackstock: Nonlinear acoustics (theoretical). - In: American Institute of Physics Handbook. Mac Graw Hill, New York, 1972, 3rd ed. Chap. 3n, 183-205.
10. O. V. Rudenko, S. I. Soluyan: Theoretical fundations of nonlinear acoustics. Consultant Bureau, New York, 1977.
11. F. Coulouvrat: On the equations of nonlinear acoustics. J. d'Acoustique 5 (1992) 321-359.
12. W. Chester: Resonant oscillations in closed tubes. J. Fluid. Mech 18 (1964) 44-64.
13. D. F. Pernet, R. C. Peyne: Non-linear propagation of signals in air. J. Sound Vib. 17 (1971) 383-396.
14. N. Sugimoto: Burgers equations with a fractional derivative; hereditary effects on nonlinear acoustic waves. J. Fluid Mech. 225 (1991) 631-651.
15. W. Chester: Resonant oscillations of a gas in an open-ended tube. Proc. R. Soc. Lond. A377 (1981) 449-497.
16. D. T. Blackstock: Generalized Burgers equations for plane waves. J. Acoust. Soc. Am. 77 (1985) 2050-2053.
17. D. B. Cruikshank: Experimental investigation of finite-amplitude acoustics oscillations in a closed tube. J. Acoust. Soc. Am. 52 (1972) 1024-1036.
18. B. Sturtevant: Nonlinear gas oscillations in pipes, Part 2. Experiments. J. Fluid Mech. 63 (1974) 97-120.
19. R. G. Zaripov, M. A. Ilhamov: Non-linear gas oscillations in a pipe. J. Sound Vib. 46 (1976) 245-257.
20. L. Gaete-Garreton, J. A. Gallego-Juarez: Propagation of finite-amplitude ultrasonic waves in air - II. Plane waves in a tube. J. Acoust. Soc. Am. 73 (1983) 768-773.
21. D.-Y. Maa, K. Liu: Nonlinear standing waves: Theory and experiments. J. Acoust. Soc. Am. 98 (1995) 2753-2763.
22. L. Menguy, P. Durrieu, J. Gilbert: Propagation acoustique non-linéaire dans les guides cylindriques, théorie et résultats expérimentaux préliminaires [text in french]. Actes du 13ième Congrès Français de Mécanique, Poitiers, 1997. Vol.1, 11-14.
23. L. D. Landau, E. M. Lifschitz: Fluid mechanics. Pergamon, 1959.
24. G. K. Batchelor: An introduction to fluid dynamics. Cambridge Univ. Press, Cambridge, 1970.
25. J. H. M. Disselhorst, L. van Wijngaarden: Flow in the exit of open pipes during acoustic resonance. J. Fluid Mech. 99 (1980) 293-319.
26. A. D. Pierce: Nonlinear effects in sound propagation. - In: Acoustics - an introduction to its physical principles and application. Acoust. Soc. Am., New York, 1989, 566-615.