A theoretical model is used to investigate the effect of geometry, flow conditions and acoustic lining on the occurrence of acoustic resonance within aeroengine ducts. Semi-analytical methods are used to demonstrate that two types of acoustic resonance can be excited. The first is an intake resonance arising due to axial variation of the intake shape and the presence of swirling flow downstream of the rotor. The second occurs as a result of mode trapping between the rotor and stator. Such resonance phenomena may be relevant to the destabilization of the fan and the onset of flutter and rotating stall.

1.
Vahdati
,
M.
,
Sayma
,
A. I.
,
Bre´ard
,
C.
, and
Imregun
,
M.
,
2002
, “
A Computational Study of Intake Duct Effects on Fan Flutter Stability
,”
AIAA J.
,
40
(
3
), pp.
408
418
.
2.
Cooper
,
A. J.
, and
Peake
,
N.
,
2000
, “
Trapped Acoustic Modes in Aeroengine Intakes With Swirling Flow
,”
J. Fluid Mech.
,
419
, pp.
151
173
.
3.
Hanson, D. B., 1992, “Unsteady Coupled Cascade Theory Applied to the Rotor/Stator Interaction Noise Problem,” DGLR/AIAA Paper 92-02-084.
4.
Rienstra
,
S. W.
,
1999
, “
Sound Transmission in Slowly Varying Circular and Annular Lined Ducts With Flow
,”
J. Fluid Mech.
,
380
, pp.
279
296
.
5.
Horlock, J. H., 1978, Actuator Disk Theory. Discontinuities in Thermo-Fluid Dynamics, McGraw-Hill, New York.
6.
Joo
,
W. G.
, and
Hynes
,
T. P.
,
1997
, “
The Simulation of Turbomachinery Blade Rows in Asymmetric Flow Using Actuator Disks
,”
ASME J. Turbomach.
,
119
, pp.
723
732
.
7.
Joo
,
W. G.
and
Hynes
,
T. P.
,
1997
, “
The Application of Actuator Disks to Calculations of the Flow in Turbofan Installations
,”
ASME J. Turbomach.
,
119
, pp.
733
741
.
8.
Golubev
,
V. V.
, and
Atassi
,
H. M.
,
1998
, “
Acoustic-Vorticity Waves in Swirling Flows
,”
J. Sound Vib.
,
209
, pp.
203
222
.
9.
Tam
,
C. K. W.
, and
Auriault
,
L.
,
1998
, “
The Wave Modes in Ducted Swirling Flows
,”
J. Fluid Mech.
,
371
, pp.
1
20
.
10.
Rienstra, S. W., and Hirschberg, A., 1999, “An Introduction to Acoustics,” Rep. IWDE 99-02, TU Eindhoven.
11.
Dowling, A. P., and Ffowcs Williams, J. E., 1983, Sound and Sources of Sound, Ellis-Horwood, London, p. 93.
12.
Woodley
,
B. M.
, and
Peake
,
N.
,
1999
, “
Resonant Acoustic Frequencies of a Tandem Cascade. Part 1. Zero Relative Motion
,”
J. Fluid Mech.
,
393
, pp.
215
240
.
You do not currently have access to this content.