Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-19T12:31:48.828Z Has data issue: false hasContentIssue false
  • English
  • Français

Reheat buzz: an acoustically coupled combustion instability. Part 2. Theory

Published online by Cambridge University Press:  21 April 2006

G. J. Bloxsidge ,
A. P. Dowling  and
P. J. Langhorne
G. J. Bloxsidge
Affiliation:
British Maritime Technology, CEEMAID Division, St Johns Street, Hythe, Southampton SO4 6YS, UK
A. P. Dowling
Affiliation:
The University Engineering Department, Trumpington Street, Cambridge CB2 1PZ, UK
P. J. Langhorne
Affiliation:
Department of Physics, University of Otago, PO Box 56, Dunedin, New Zealand
Get access Rights & Permissions [Opens in a new window]

Abstract

Reheat buzz is a low-frequency instability of afterburners. It is caused by the interaction of longitudinal acoustic waves and unsteady combustion. Similar combustion instabilities occur in laboratory rigs. A theory is developed to determine the frequency and mode shape of the instability and is tested by comparison with the experimental results described in Part1. The predicted and measured frequencies are found to be within 6 Hz (7%) of each other. The theory is able to predict the observed variation of frequency with equivalence ratio, inlet Mach number and geometry.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 193 , August 1988 , pp. 445 - 473
Copyright
© 1988 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Barton, J. P. 1986 Acoustic and entropy wave input-output relationships for quasi-one-dimensional gas flows. J. Acoust. Soc. Am. 80, 340–346.Google Scholar
Bloxsidge, G. J. 1987 Reheat buzz-an acoustically driven combustion instability. Ph.D. thesis, University of Cambridge.
Bloxsidge, G. J., Dowling, A. P., Hooper, N. & Langhorne, P. J. 1988 Active control of reheat buzz. AIAA J. (to appear).Google Scholar
Bray, K. N. C., Campbell, I. G., Lee, O. K. L. & Moss, J. B. 1983 An investigation of reheat buzz instabilities. Dept Aeronautics and Astronautics, Southampton University, Rep. AASU 83/2.Google Scholar
Campbell, I. G., Bray, K. N. C. & Moss, J. B. 1983 Combustion oscillations in a ducted premixed flame. Combustion in Engineering, ImechE, pp. 85–94.Google Scholar
Cumpsty, N. A. 1979 Jet engine combustion noise: pressure, entropy and vorticity perturbations produced by unsteady combustion or heat addition. J. Sound Vib. 66, 527–544.CrossRefGoogle Scholar
Dowling, A. P. & Bloxsidge, G. J. 1984 Reheat buzz - an acoustically driven combustion instability. AIAA-84-2321.Google Scholar
Hadvig, S. 1971 Combustion instability: system analysis. J. Instit. Fuel 44, 550–558.Google Scholar
Heitor, M. V., Taylor, A. M. K. P. & Whitelaw, J. H. 1984 Influence of confinement on combustion instabilities of premixed flames stabilized on axisymmetric baffles. Combust. Flame 57, 109–121.Google Scholar
Howe, M. S. 1979 Attenuation of sound in a low Mach number nozzle flow. J. Fluid Mech. 91, 209–229.Google Scholar
Langhorne, P. J. 1988 Reheat buzz: An acoustically coupled combustion instability. Part 1. Experiment. J. Fluid Mech. 193, 417–443.Google Scholar
Le Chatelier, C. & Candel, S. M. 1981 Flame spreading in compressible duct flow. Proc. First Intl Specialists Meeting of the Combustion Institute, Bordeaux, pp. 236–242.
Marble, F. E. & Candel, S. M. 1978 An analytical study of the non-steady behaviour of large combustors. Proc. 17th Symp. (Intl) on Combustion, The Combustion Institute, pp. 761–769.
Merk, H. J. 1956 Analysis of heat-driven oscillations.. Appl. Sci. Res. A 7, 175–191.Google Scholar
Mugridge, B. D. 1980 Combustion driven oscillations. J. Sound Vib. 70, 437–452.Google Scholar
Poinsot, T., Le Chatelier, C., Candel, S. M. & Esposito, E. 1986 Experimental determination of the reflection coefficient of a premixed flame in a duct. J. Sound Vib. 107, 265–278.Google Scholar
Rayleigh, J. W. S. 1896 The Theory of Sound. Macmillan.
Subbaiah, M. V. 1983 Non-steady flame spreading in two-dimensional ducts. AIAA J. 21, 1557–1564.Google Scholar
Zukoski, E. E. 1978 Afterburners. In The Aerothermodynamics of Gas Turbine Engines (ed. G. C. Oates), AFAPL-TR-78-52.