This study experimentally analyzes the cessation of self-sustained periodic oscillations of gas columns in delay-coupled Rijke tube oscillators. The Rijke tube oscillator comprised an open-ended resonance tube with a Bunsen burner inserted into it. Delay coupling was introduced using acoustic waves propagating through a gas-filled tube with both ends connected to the resonance tubes. Two coupling methods, single- and double-tube coupling, were tested for comparison. A significant reduction in the acoustic amplitude was observed with relatively narrow tubes in double-tube coupling when the tube lengths were equal to half the wavelength and one wavelength of the acoustic waves of the uncoupled oscillator. The experimental results were analyzed using the theoretical model of the delay-coupled Rijke tube oscillators, whose coupling strength varied with the delay time. The present results would be useful in establishing a simple method for suppressing unwanted acoustic oscillations observed in various combustors.

1.
2.
G.
Saxena
,
A.
Prasad
, and
R.
Ramaswamy
,
Phys. Rep.
521
,
205
228
(
2012
).
3.
V.
Resmi
,
G.
Ambika
, and
R. E.
Amritkar
,
Phys. Rev. E
84
,
046212
(
2011
).
4.
D. G.
Aronson
,
G. B.
Ermentrout
, and
N.
Kopell
,
Physica D
41
,
403
449
(
1990
).
5.
D. V.
Ramana Reddy
,
A.
Sen
, and
G. L.
Johnston
,
Phys. Rev. Lett.
80
,
5109
5112
(
1998
).
6.
T.
Biwa
,
S.
Tozuka
, and
T.
Yazaki
,
Phys. Rev. Appl.
3
,
034006
(
2015
).
7.
D. V.
Ramana Reddy
,
A.
Sen
, and
G. L.
Johnston
,
Phy. Rev. Lett.
85
,
3381
3384
(
2000
).
8.
D. V. R.
Reddy
,
A.
Sen
, and
G. L.
Johnston
,
Physica D.
129
,
15
34
(
1999
).
9.
R.
Dodla
,
A.
Sen
, and
G. L.
Johnston
,
Phy. Rev. E
69
,
056217
(
2004
).
10.
K.
Hu
and
K.
Chung
,
AIP Adv.
3
,
112118
(
2013
).
11.
K.
Konishi
,
H.
Kokame
, and
N.
Hara
,
Phy. Rev. E
81
,
016201
(
2010
).
12.
H.
Hyodo
and
T.
Biwa
,
Phy. Rev. E
98
,
052223
(
2018
).
13.
S.
Dange
,
K.
Manoj
,
S.
Banerjee
,
S.
Pawar
,
S.
Mondal
, and
R. I.
Sujith
,
Chaos
29
,
093135
(
2019
).
14.
H.
Jegal
,
K.
Moon
,
J.
Gu
,
L. K. B.
Li
, and
K. T.
Kim
,
Combust. Flame
206
,
424
437
(
2019
).
15.
T. C.
Lieuwen
and
V.
Yang
,
Combustion Instabilities in Gas Turbine Engines: Operational Experience, Fundamental Mechanisms, and Modeling
(American Institute of Aeronautics and Astronautics, Reston, VA,
2016
), Vol.
210
.
16.
T. C.
Lieuwen
,
Unsteady Combustor Physics
(
Cambridge University Press
,
Cambridge
,
2012
).
17.
M. P.
Juniper
and
R. I.
Sujith
,
Annu. Rev. Fluid Mech.
50
,
661
689
(
2018
).
18.
H.
Gotoda
,
H.
Nikimoto
,
T.
Miyano
, and
S.
Tachibana
,
Chaos
21
,
013124
(
2011
).
19.
L.
Kabiraj
,
A.
Saurabh
,
P.
Wahi
, and
R. I.
Sujith
,
Chaos
22
,
023129
(
2012
).
20.
D.
Zhao
,
Z.
Lu
,
H.
Zhao
,
X. Y.
Li
,
B.
Wang
, and
P.
Liu
,
Prog. Aerosp. Sci.
97
,
35
60
(
2018
).
21.
N.
Hansen
,
A. S. P.
Niederberger
,
L.
Guzzella
, and
P.
Koumoutsakos
,
IEEE Trans. Evol. Comput.
13
,
1
(
2009
).
22.
B.-S.
Hong
,
V.
Yang
, and
A.
Ray
,
Combust. Flame
120
,
91
106
(
2000
).
23.
A. P.
Dowling
and
A. S.
Morgans
,
Ann. Rev. Fluid Mech.
37
,
151
182
(
2005
).
24.
R. C.
Steele
,
L. H.
Cowell
,
S. M.
Cannon
, and
C. E.
Smith
,
J. Eng. Gas Turb. Pow.
122
,
412
(
2000
).
25.
C. H.
Sohn
and
J. H.
Park
,
Aerosp. Sci. Technol.
15
,
606
614
(
2011
).
26.
D.
Zhao
and
A. S.
Morgans
,
J. Sound Vib.
320
,
744
757
(
2009
).
27.
J. D.
Eldredge
and
A. P.
Dowling
,
J. Fluid. Mech.
485
,
307
(
2003
).
28.
N.
Thomas
,
S.
Mondal
,
S. A.
Pawar
, and
R. I.
Sujith
,
Chaos
28
,
033119
(
2018
).
29.
A.
Tominaga
,
Cryogenics
35
,
427
440
(
1995
).
30.
G. W.
Swift
,
Thermoacoustics: A Unifying Perspective for Some Engines and Refrigerators
, 2nd ed. (
ASA Press
,
Cham
,
2017
).
31.
H.
Shirahama
,
M.
Hashiguchi
,
K.
Fukushima
,
C. U.
Choe
, and
H.
Benner
,
J. Phys. Soc. Jpn.
79
,
094001
(
2010
).
32.
33.
Y.
Song
,
Nonlinear Dyn.
63
,
223
237
(
2011
).
34.
R.
Delage
,
Y.
Takayama
, and
T.
Biwa
,
Chaos
28
,
083125
(
2018
).
35.
H.
Hyodo
and
T.
Biwa
,
J. Phys. Soc. Jpn.
87
,
034402
(
2018
).
36.
K.
Balasubramanian
and
R. I.
Sujith
,
Phys. Fluid
20
,
044103
(
2008
).
37.
Y.
Guan
,
M.
Murugesan
, and
L. K. B.
Li
,
Chaos
28
,
093109
(
2018
).
38.
Y.
Guan
,
V.
Gupta
,
K.
Kashinath
, and
L. K. B.
Li
,
P. Combust. Inst.
37
,
5315
5323
(
2019
).
39.
Y.
Guan
,
V.
Gupta
,
M.
Wan
, and
L. K. B.
Li
,
J. Fluid Mech.
879
,
390
421
(
2019
).
40.
K.
Moon
,
Y.
Guan
,
L. K. B.
Li
, and
K. T.
Kim
,
Chaos
30
,
023110
(
2020
).
41.
The coupling terms assumed by Thomas read K1(η̇jb,aη̇ja,b) + K2(η̇jb,a (t − τ2) − η̇ja,b), where the first term represents the dissipative coupling term and the second one denotes the time-delay coupling.
42.
T.
Biwa
,
Y.
Sawada
,
H.
Hyodo
, and
S.
Kato
,
Phys. Rev. Appl.
6
,
044020
(
2016
).
You do not currently have access to this content.