Asymptotic approach to combustion instability

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 363, Issue 1830, 2005, Pages 1247-1259

  Wu, Xuesong ^a,b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b TIANJIN UNIVERSITY   (China)

Author keywords

Acoustics; Combustion; Flame; Instability

Indexed keywords

EID: 22544441861     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2005.1565     Document Type: Conference Paper

References (25)

1. Barenblatt, G. I., Zeldovich, Y. B. & Istratov, A. G. 1962 On diffusional thermal instability of laminar flame. Prikl. Mekh. Tekh. Fiz. 2, 21.
2. Bloxsidge, G. J., Dowling, A. P. & Langhorne, P. J. 1988 Reheat buzz: an acoustically coupled combustion instability. Part II. Theory. J. Fluid Mech. 193, 445-473.
3. Clavin, P. 1985 Dynamics behaviour of premixed flame fronts in laminar and turbulent flows. Prog. Energy Combust. Sci. 11, 1-59.
4. Clavin, P. 1994 Premixed combustion and gasdynamics. Annu. Rev. Fluid Mech. 26, 321-352.
5. Clavin, P., Pelce, P. & He, L. 1990 One-dimensional vibratory instability of planar flames propagating in tubes. J. Fluid Mech. 216, 299-322.
6. Dowling, A. P. 1997 Nonlinear self-excited oscillations of a ducted flame. J. Fluid Mech. 346, 271-290.
7. Dowling, A. P. 1999 A kinematic model of a ducted flame. J. Fluid Mech. 394, 51-72.
8. Fleifil, M., Annaswamy, A. M., Ghoneim, Z. A. & Ghoniem, A. F. 1996 Response of a laminar premixed flame to flow oscillations: a kinematic model and thermoacoustic instability results. Combust. Flame 106, 487-510.
9. Harten, A. V., Kapila, A. K. & Matkowsky, B. J. 1984 Acoustic coupling of flames. SIAM J. Appl. Math. 44, 982-995.
10. Landau, L. D. 1944 On the theory of slow combustion. Acta Physicochim. URSS 19, 77.
11. x gas turbines. Proc. Combust. Inst. 27, 1809-1816.
12. Markstein, G. H. June 1970 Flames as amplifiers of fluid mechanical disturbances. In Proceedings of the Sixth U.S. National Congress for Applied Mechanics, Harvard University, Cambridge, MA, 15-19 June 1970, pp. 11-33. New York: ASME.
13. Matalon, M. & Matkowsky, B. J. 1982 Flames as gasdynamic discontinuities. J. Fluid Mech. 124, 239-259.
14. Matkowsky, B. J. & Sivashinsky, G. I. 1979 An asymptotic derivation of two models in flame theory associated with the constant density approximation. SIAM J. Appl. Math. 37, 686-699.
15. McIntosh, A. C. 1991 Pressure disturbances of different length scales interacting with conventional flames. Comb. Sci. Technol. 75, 287-309.
16. McManus, K. R., Poinsot, T. & Candel, S. M. 1993 A review of active control of combustion. Prog. Energy Combust. Sci. 19, 1-29.
17. Pelce, P. & Clavin, P. 1982 Influence of hydrodynamics and diffusion upon the stability limits of laminar premixed flames. J. Fluid Mech. 124, 219-237.
18. Pelce, P. & Rochwerger, D. 1992 Vibratory instability of cellular flames propagating in tubes J. Fluid Mech. 239, 293-307.
19. Poinsot, T. J., Trouve, A. C., Veyynante, D. P., Candel, S. M. & Esposito, E. J. 1987 Vortex-driven acoustically coupled combustion instabilities. J. Fluid Mech. 177, 265-292.
20. Searby, G. 1992 Acoustic instability in premixed flames. Combust. Sci. Technol. 81, 221-231.
21. Sivasegaram, S., Tsai, R. F. & Whitelaw, J. H. 1995 Control of combustion oscillations by forced oscillation of part of fuel supply. Combust. Sci Technol. 105, 67-83.
22. Stuart, J. T. 1960 On the nonlinear mechanisms of wave disturbances in stable and unstable parallel flows. Part I. The basic behaviour in plane Poisuille flow. J. Fluid Mech. 24, 353-370.
23. Williams, F. A. 1992 The role of theory in combustion science. Proc. Combust. Inst. 24, 1-17.
24. Wu, X., Wang, M., Moin, P. & Peters, N. 2003 Combustion instability due to the nonlinear interaction between sound and flame. J. Fluid Mech. 497, 23-53.
25. Yu, K. H., Trouve, A. & Daily, J. W. 1991 Low-frequency pressure oscillations in a model ramjet combustor. J. Fluid Mech. 232, 47-72.