Thermoacoustics can be viewed as the combination of two feedback coupling mechanisms between heat release fluctuation and the acoustics of the combustor: one resulting from the perturbations in velocity causing fluctuation in flame surface area and the other from perturbation in equivalence ratio, both causing perturbation in heat release. As in most feedback system, instability could occur when heat release perturbation is in phase with the acoustic pressure perturbation of the combustion enclosure. The emphasis of this paper is the state space formulation of the acoustics model to be used as part of the thermoacoustics model containing the first two interaction mechanisms.

1.
Rayleigh, J. W. S., The Theory of Sound, Vol. II, Dover Publications, New York, 1945.
2.
Zukoski, E., Afterburners. In Oates, G. (ed), “The Acoustics of Aircraft Gas Turbine Engines,” Air Force Propulsion Lab, Chapter 21, 1979.
3.
Fleifil
M.
,
Annaswamy
A. M.
,
Ghoniem
Z.
, and
Ghoniem
A. F.
, “
Response of a Laminar Premixed Flame to Flow Oscillations: A Kinematic Model and Thermoacoustic Instability Result
,”
Combustion and Flame
,
106
;
487
510
,
1996
.
4.
Hathout
J. P.
,
Annaswamy
A. M.
,
Fleifil
M.
, and
Ghoniem
A. F.
Model-based active control design for thermoacoustic instability
.”
Combustion Science and Technology
,
132
:
99
138
,
1998
.
5.
McManus
K. R.
,
Poinsot
T.
and
Candel
S M.
, (
1993
) “
A Review of Active Control of Combustion Instabilities
,”
Progress in Energy and Combustion Science
, V.
19
, pp.
1
29
.
6.
Kinsler, L. E., Frey, A. R., Coppens, A. B., and Sanders, J. V., “Fundamental of Acoustics,” 4th. Edition, John Wiley & Sons. New York, 1999.
7.
Lieuwen
T.
,
Torres
H.
,
Jonson
C.
, and
Zinn
B. T.
, “
A Mechanism of Combustion Instability in Lean Premixed Gas Turbine Combustors
,”
ASME J. of Engineering for Gas Turbines and Power
. Vol.
123
, p.
182
188
, Jan
2001
.
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