The effect of flame–wall interactions on the forced response of a lean-premixed, swirl-stabilized flame is experimentally investigated by examining flames in a series of three combustors, each with a different diameter, and therefore a different degree of lateral confinement. The confinement ratios tested are 0.5, 0.37, and 0.29 when calculated using the diameter of the nozzle relative to the combustor diameter. Using both flame images and measured flame transfer functions (FTFs), the effect of confinement is investigated and generalized across a broad range of operating conditions. The major effect of confinement is shown to be a change in flame structure in both the forced and unforced cases. This effect is captured using the parameter Lf,CoHR/Dcomb, which describes the changing degree of flame–wall interaction in each combustor size. The measured FTF data, as a function of confinement, are then generalized by Strouhal number. Data from the two larger combustors are collapsed by multiplying the Strouhal number by the confinement ratio to account for the flow expansion ratio and change in convective velocity within the combustor. Trends at the transfer function extrema are also assessed by examining them in the context of confinement and by using flame images. A change in the fluctuating structure of the flame is also seen to result from an increase in confinement.

References

1.
Lieuwen
,
T.
,
2005
, “
Nonlinear Kinematic Response of Premixed Flames to Harmonic Velocity Disturbances
,”
Proc. Combust. Inst.
,
30
(
2
), pp.
1725
1732
.
2.
Huang
,
Y.
, and
Yang
,
V.
,
2009
, “
Dynamics and Stability of Lean-Premixed Swirl-Stabilized Combustion
,”
Prog. Energy Combust. Sci.
,
35
(
4
), pp.
293
364
.
3.
Fanaca
,
D.
,
Alemela
,
P. R.
,
Ettner
,
F.
,
Hirsch
,
C.
,
Sattelmayer
,
T.
, and
Schuermans
,
B.
,
2008
, “
Determination and Comparison of the Dynamic Characteristics of a Perfectly Premixed Flame in Both Single and Annular Combustion Chambers
,”
ASME
Paper No. GT2008-50781.
4.
Merk
,
H. J.
,
1957
, “
An Analysis of Unstable Combustion of Premixed Gases
,”
Symp. (Int.) Combust.
,
6
(
1
), pp.
500
512
.
5.
Jones
,
B.
,
Lee
,
J. G.
,
Quay
,
B. D.
, and
Santavicca
,
D. A.
,
2011
, “
Flame Response Mechanisms Due to Velocity Perturbations in a Lean Premixed Gas Turbine Combustor
,”
ASME J. Eng. Gas Turbines Power
,
133
(
2
), p.
021503
.
6.
Kim
,
K. T.
, and
Santavicca
,
D. A.
,
2013
, “
Interference Mechanisms of Acoustic/Convective Disturbances in a Swirl-Stabilized Lean-Premixed Combustor
,”
Combust. Flame
,
160
(
8
), pp.
1441
1457
.
7.
Renard
,
P.-H.
,
Thevenin
,
D.
,
Rolon
,
J.
, and
Candel
,
S.
,
2000
, “
Dynamics of Flame/Vortex Interactions
,”
Prog. Energy Combust. Sci.
,
26
(
3
), pp.
225
282
.
8.
Ducruix
,
S.
,
Schuller
,
T.
,
Durox
,
D.
, and
Sebastien
,
C.
,
2003
, “
Combustion Dynamics and Instabilities: Elementary Coupling and Driving Mechanisms
,”
J. Propul. Power
,
19
(
5
), pp.
722
734
.
9.
Bunce
,
N. A.
,
Quay
,
B. D.
, and
Santavicca
,
D. A.
,
2014
, “
Interaction Between Swirl Number Fluctuations and Vortex Shedding in a Single-Nozzle Turbulent Swirling Fully-Premixed Combustor
,”
ASME J. Eng. Gas Turbines Power
,
136
(
2
), p.
021503
.
10.
Palies
,
P.
,
Durox
,
D.
,
Schuller
,
T.
, and
Candel
,
S.
,
2010
, “
The Combined Dynamics of Swirler and Turbulent Premixed Swirling Flames
,”
Combust. Flame
,
157
(
9
), pp.
1698
1717
.
11.
Syred
,
N.
,
2006
, “
A Review of Oscillation Mechanisms and the Role of the Precessing Vortex Core (PVC) in Swirl Combustion Systems
,”
Prog. Energy Combust. Sci.
,
32
(
2
), pp.
93
161
.
12.
Fureby
,
C.
,
Grinstein
,
F.
,
Li
,
G.
, and
Gutmark
,
E.
,
2007
, “
An Experimental and Computational Study of a Multi-Swirl Gas Turbine Combustor
,”
Proc. Combust. Inst.
,
31
(
2
), pp.
3107
3114
.
13.
Szedlmayer
,
M. T.
,
Quay
,
B. D.
,
Samarasinghe
,
J.
,
De Rosa
,
A.
,
Lee
,
J. G.
, and
Santavicca
,
D. A.
,
2011
, “
Forced Flame Response of a Lean Premixed Multi-Nozzle Can Combustor
,”
ASME
Paper No. GT2011-46080.
14.
Fanaca
,
D.
,
Alemela
,
P.
,
Hirsch
,
C.
, and
Sattelmayer
,
T.
,
2010
, “
Comparison of the Flow Field of a Swirl Stabilized Premixed Burner in an Annular and a Single Burner Combustion Chamber
,”
ASME J. Eng. Gas Turbines Power
,
132
(
7
), p.
071502
.
15.
Samarasinghe
,
J.
,
Peluso
,
S.
,
Szedlmayer
,
M.
,
De Rosa
,
A.
,
Quay
,
B.
, and
Santavicca
,
D.
,
2013
, “
Three-Dimensional Chemiluminescence Imaging of Unforced and Forced Swirl-Stabilized Flames in a Lean Premixed Multi-Nozzle Can Combustor
,”
ASME J. Eng. Gas Turbines Power
,
135
(
10
), p.
101503
.
16.
Hauser
,
M.
,
Hirsch
,
C.
, and
Sattelmayer
,
T.
,
2011
, “
Influence of the Confinement on the Flame Transfer Function
,”
18th International Congress on Sound and Vibration
,
Rio de Janeiro, Brazil
, July 10–14, pp.
10
14
.
17.
Szedlmayer
,
M. T.
,
2013
, “
An Experimental Study of the Velocity-Forced Flame Response of a Lean-Premixed Multi-Nozzle Can Combustor for Gas Turbines
,” Ph.D. thesis, The Pennsylvania State University, State College, PA.
18.
Birbaud
,
A.
,
Durox
,
D.
,
Ducruix
,
S.
, and
Candel
,
S.
,
2007
, “
Dynamics of Confined Premixed Flames Submitted to Upstream Acoustic Modulations
,”
Proc. Combust. Inst.
,
31
(
1
), pp.
1257
1265
.
19.
Birbaud
,
A. L.
,
Durox
,
D.
, and
Candel
,
S.
,
2007
, “
Dynamics of Unstable Premixed Flames Under Variable Lateral Confinement Ratios
,”
European Combustion Meeting
, Chania, Crete, Apr. 11–13.
20.
Cuquel
,
A.
,
Durox
,
D.
, and
Schuller
,
T.
,
2013
, “
Scaling the Flame Transfer Function of Confined Premixed Conical Flames
,”
Proc. Combust. Inst.
,
34
(
1
), pp.
1007
1014
.
21.
Fu
,
Y.
,
Cai
,
J.
,
Jeng
,
S.-M.
, and
Mongia
,
H.
,
2005
, “
Confinement Effects on the Swirling Flow of a Counter-Rotating Swirl Cup
,”
ASME
Paper No. GT2005-68622.
22.
Tay-Wo-Chong
,
L.
, and
Polifke
,
W.
,
2013
, “
Large Eddy Simulation-Based Study of the Influence of Thermal Boundary Condition and Combustor Confinement on Premix Flame Transfer Functions
,”
ASME J. Eng. Gas Turbines Power
,
135
(
2
), p.
021502
.
23.
Kedia
,
K.
,
Altay
,
H.
, and
Ghoniem
,
A.
,
2011
, “
Impact of Flame–Wall Interaction on Premixed Flame Dynamics and Transfer Function Characteristics
,”
Proc. Combust. Inst.
,
33
(
1
), pp.
1113
1120
.
24.
Durox
,
D.
,
Schuller
,
T.
,
Noiray
,
N.
, and
Candel
,
S.
,
2009
, “
Experimental Analysis of Nonlinear Flame Transfer Functions for Different Flame Geometries
,”
Proc. Combust. Inst.
,
32
(
1
), pp.
1391
1398
.
25.
Kim
,
D.
,
Lee
,
J. G.
,
Quay
,
B. D.
,
Santavicca
,
D. A.
,
Kim
,
K.
, and
Srinivasan
,
S.
,
2010
, “
Effect of Flame Structure on the Flame Transfer Function in a Premixed Gas Turbine Combustor
,”
ASME J. Eng. Gas Turbines Power
,
132
(
2
), p.
021502
.
26.
Lee
,
J. G.
,
Gonzalez
,
E.
, and
Santavicca
,
D. A.
,
2005
, “
On the Applicability of Chemiluminescence to the Estimation of Unsteady Heat-Release During Unstable Combustion in Lean Premixed Combustor
,”
AIAA
Paper No. 2005-3575.
27.
Clark
,
T. P.
,
1958
, “
Studies of OH, CO, CH, and C2 Radiation from Laminar and Turbulent Propane-Air and Ethylene-Air Flames
,” National Advisory Committee for Aeronautics. Lewis Flight Propulsion Laboratory, Cleveland, OH,
NACA
Technical Report No. 4266, NACA.
28.
Fleifil
,
M.
,
Annaswamy
,
A.
,
Ghoneim
,
Z.
, and
Ghoniem
,
A.
,
1996
, “
Response of a Laminar Premixed Flame to Flow Oscillations: A Kinematic Model and Thermoacoustic Instability Results
,”
Combust. Flame
,
106
(
4
), pp.
487
510
.
29.
Balachandran
,
R.
,
Ayoola
,
B.
,
Kaminski
,
C.
,
Dowling
,
A.
, and
Mastorakos
,
E.
,
2005
, “
Experimental Investigation of the Nonlinear Response of Turbulent Premixed Flames to Imposed Inlet Velocity Oscillations
,”
Combust. Flame
,
143
(
1
), pp.
37
55
.
30.
Armitage
,
C.
,
Balachandran
,
R.
,
Mastorakos
,
E.
, and
Cant
,
R.
,
2006
, “
Investigation of the Nonlinear Response of Turbulent Premixed Flames to Imposed Inlet Velocity Oscillations
,”
Combust. Flame
,
146
(
3
), pp.
419
436
.
31.
Birbaud
,
A.
,
Ducruix
,
S.
,
Durox
,
D.
, and
Candel
,
S.
,
2008
, “
The Nonlinear Response of Inverted V Flames to Equivalence Ratio Nonuniformities
,”
Combust. Flame
,
154
(
3
), pp.
356
367
.
32.
Abom
,
M.
, and
Boden
,
H.
,
1988
, “
Error Analysis of Two-Microphone Measurements in Ducts With Flow
,”
J. Acoust. Soc. Am.
,
83
(
6
), pp.
2429
2438
.
33.
Waser
,
M. P.
, and
Crocker
,
M. J.
,
1984
, “
Introduction to the Two-Microphone Cross-Spectral Method of Determining Sound Intensity
,”
Noise Control Eng. J.
,
22
(
3
), pp.
76
85
.
34.
Vest
,
C
.,
1974
, “
Formation of Images From Projections: Radon and Abel Transforms
,”
JOSA
,
64
(
9
), pp.
1215
1218
.
35.
Deans
,
S. R.
,
2007
,
The Radon Transform and Some of Its Applications
,
Courier Dover Publications
,
Mineola, NY
.
36.
Bunce
,
N.
,
Lee
,
J. G.
,
Quay
,
B. D.
, and
Santavicca
,
D. A.
,
2011
, “
Mixture-Forced Flame Transfer Function Measurements and Mechanisms in a Single-Nozzle Combustor at Elevated Pressure
,”
ASME
Paper No. GT2011-46744.
37.
Schuermans
,
B.
,
Bellucci
,
V.
,
Guethe
,
F.
,
Meili
,
F.
,
Flohr
,
P.
, and
Paschereit
,
C. O.
,
2004
, “
A Detailed Analysis of Thermoacoustic Interaction Mechanisms in a Turbulent Premixed Flame
,”
ASME
Paper No. GT2004-53831.
38.
Poinsot
,
T. J.
,
Trouve
,
A. C.
,
Veynante
,
D. P.
,
Candel
,
S. M.
, and
Esposito
,
E. J.
,
1987
, “
Vortex-Driven Acoustically Coupled Combustion Instabilities
,”
J. Fluid Mech.
,
177
, pp.
265
292
.
39.
Kim
,
K.
, and
Santavicca
,
D.
,
2013
, “
Generalization of Turbulent Swirl Flame Transfer Functions in Gas Turbine Combustors
,”
Combust. Sci. Technol.
,
185
(
7
), pp.
999
1015
.
40.
Schuller
,
T.
,
Durox
,
D.
,
Cuquel
,
A.
,
Palies
,
P.
,
Moeck
,
J.
, and
Candel
,
S.
,
2012
, “
Modeling the Response of Premixed Flame Transfer Functions—Key Elements and Experimental Proofs
,”
AIAA
Paper No. 2012-0985.
41.
Duchaine
,
F.
,
Boudy
,
F.
,
Durox
,
D.
, and
Poinsot
,
T.
,
2011
, “
Sensitivity Analysis of Transfer Functions of Laminar Flames
,”
Combust. Flame
,
158
(
12
), pp.
2384
2394
.
42.
Marble
,
F.
, and
Candel
,
S.
,
1977
, “
Acoustic Disturbance From Gas Non-Uniformities Convected Through a Nozzle
,”
J. Sound Vib.
,
55
(
2
), pp.
225
243
.
You do not currently have access to this content.