Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지

Thermo-Acoustic Instability in the Horizontal Rijke Tube

  • Song Woo-Seog (Department of Mechanical Engineering, College of Engineering, Inha University) ;
  • Lee Seung-Bae (Department of Mechanical Engineering, College of Engineering, Inha University) ;
  • Shin Dong-Shin (Department of Mechanical System Desighn Engineering, College of Engineering, Hongik University) ;
  • Na Yang (CAESIT, Department of Mechanical Engineering, Konkuk University)
  • Published : 2006.06.01
Download PDF
⟨ Previous Next ⟩

Abstract

The instability curve of a Rijke tube system was obtained accurately by following different paths of heat power and flow-rate for three regions and by defining its locus from the criterion based on the measured sound pressure levels. The unstable limits in the region of flow-rate lower than that at the minimal power are compared with previous data. To observe the effect of turbulence on the unstable limits, inflow turbulence was introduced by placing a bundle of circular cylinders upstream of the heating part ($50). The large-amplitude inflow fluctuation may delay the transition of the chamber acoustic mode to the unstable Bone even at a sufficient power.

Keywords

References

  1. Cho, S., Lee, Y. and Lee, S., 1999, 'Active Control of Thermoacoustic Instability in Cylindrical Ducted Combustor,' 35th Aerospace Science Meeting and Exhibit, Reno, CA, Jan. 12-15
  2. Culick, F. E. C., 1976, 'Nonlinear Behavior of Acoustic Waves in Combustion Chambers Parts I and II,' Acta Astronautica, Vol. 3, pp. 714-757
  3. Fey, U., Konig, M. and Eckelmann, H., 1998, 'A new Strouhal-Reynolds-Number Relationship for the Circular Cylinder in the Range $47<<2 X10^5$,' Physics of Fluids, Vol. 10, No.7, pp. 1547-1579 https://doi.org/10.1063/1.869675
  4. Heckl, M. A., 1988, 'Active Control of the Noise From a Rijke Tube,' Journal of Sound and Vibration, Vol. 124, pp. 117-133 https://doi.org/10.1016/S0022-460X(88)81408-1
  5. Higgins, B., 1802, Journal of Natural Philosophy and Chemical Arts 1 : 129
  6. Katto, Y. and Sajiki, A., 1977, 'Onset of Oscillation of a Gas-column in a Tube Due to the Existence of Heat-conduction Field,' Bulletin of the Japanese Society of Mechanical Engineers, Vol. 20, No. 147, pp. 1161-1168 https://doi.org/10.1299/jsme1958.20.1161
  7. Kerwin, E. M., 1954, Jr. Thesis, Massachusetts Institye of Technology, Cambridge, MA.
  8. Kwon, Y. -Po and Lee, B. -H., 1985, 'Stability of the Rijke Thermoacoustic Oscillation,' Journal of Acoustical Society of America, Vol. 78, No. 4, pp. 1414-1420 https://doi.org/10.1121/1.392912
  9. Lehmann, K.O., 1937, Uber die theory der netztone, Annalen der Physik 29, pp. 527-555
  10. Madarame, H., 1981, 'Thermally Induced Acoustic Oscillations in a Pipe,' Bulletin of the Japanese Society of Mechanical Engineers, Vol. 24, No. 195, pp. 1626-1633 https://doi.org/10.1299/jsme1958.24.1626
  11. Maling, G. C., 1963, 'Simplified Analysis of the Rijke Phenomenon,' Journal of the Acoustical Society of America, Vol. 35, No.7, pp. 1058-1060 https://doi.org/10.1121/1.1918658
  12. Matveev, K. I. and Culcik, F. E. C., 2003, 'A Study of the Transition to Instability in a Rijke Tube With axial Temperature Gradient,' Journal of Sound and Vibration, Vol. 264, pp. 689-706 https://doi.org/10.1016/S0022-460X(02)01217-8
  13. Rayleigh, J. W. S., 1945, The Theory of Sound, Dover Publications
  14. Rijke, P. L., 1859, Philosophical Magazine 17, pp.419
  15. Saito, T., 1965, 'Vibrations of Air-columns Excited by Heat Supply,' Bulletin of the Japanese Society of Mechanical Engineers, Vol. 8, No. 32, pp.651-659 https://doi.org/10.1299/jsme1958.8.651