The recently revived interest in “acoustic resonances,” whose details are still not well defined or understood, points to a realization that a new look at some previously unrecognized findings is needed to explain problems encountered in operation of compressors and turbines. The purpose of this paper is to call the attention of the turbomachinery community to an important physical phenomenon of pressure waves in form of pulses, which reflect between blades of adjacent blade rows of turbomachines discovered more than 40 years ago, about whose existence and consequences there is little awareness today. The turbine test results which led the author in 1957 to hypothesize the existence of the phenomenon of reflecting pressure pulses are described. Subsequently, his 1966 ASME paper is discussed. In it, the author reported on the photographed observations of pressure pulses reflecting between stationary nozzles and moving blades of a water-table turbine at Lehigh University, on the description of the various types of such waves, and on an explanation of some of the resonant blade excitation frequencies observed by National Advisory Committee for Aeronautics (NACA) in a turbine of turbojet engine. This is followed by a description of his 1984 ASME paper, in which more general formulae were derived for the blade excitation frequencies caused by the reflections of pressure pulses between the rotor blades, and both upstream and downstream stator vanes. These equations were subsequently used to explain the blade excitation frequencies measured in an axial compressor stage. Finally, his 1992 AIAA paper is discussed, in which additional formulae relating to the reflecting pressure pulses were derived, and the process of formation of a pressure pulse was explained. To put this work in perspective, the author provided, in mostly chronological order, excerpts from reports on operational problems encountered with turbomachines in service and brief descriptions, from selected publications, of pertinent research work.

1.
Owczarek
,
J. A.
, 1966, “
On a Wave Phenomenon in Turbines
,”
ASME J. Eng. Power
0022-0825,
88
(
3
), pp.
262
276
.
2.
Owczarek
,
J. A.
, 1984, “
Analysis of an Axial Compressor Blade Vibration Based on Wave Reflection Theory
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
106
, pp.
57
64
.
3.
Owczarek
,
J. A.
, 1992, “
Wave Reflections in Subsonic Axial Flow Turbo-Machines
,”
Proceedings of the AIAA/SAE/ASME/ASEE 28th Joint Propulsion Conference and Exhibit
, Nashville, TN, Jul. 6–8, AIAA Paper No. 92-3075.
4.
Morgan
,
W. C.
, and
Morse
,
C. R.
, 1952, “
Experimental Investigation of Vibration Characteristics of Four Designs of Turbine Blades and of the Effect Produced by Varying the Axial Spacing Between Nozzle Blades and Turbine Blades
,” NACA Report No. RM E51J25.
5.
Carter
,
A. D. S.
, and
Kilpatrick
,
D. A.
, 1958, “
Self-Excited Vibration of Axial-Flow Compressor Blades
,”
Proc. Inst. Mech. Eng.
0020-3483,
171
(
7
), pp.
245
281
.
6.
Molchanov
,
E. I.
, and
Pervuskin
,
S. M.
, 1974, “
Investigation of Blade Vibrations of Last Stage Steam Turbines
,”
Strength Mater.
0039-2316,
6
(
10
), pp.
1249
1251
.
7.
Emmons
,
H. W.
,
Pearson
,
C. E.
, and
Grant
,
H. P.
, 1955, “
Compressor Surge and Stall Propagation
,”
Trans. ASME
0097-6822,
77
, pp.
455
469
.
8.
Tyler
,
J. M.
, and
Sofrin
,
T. G.
, 1972, “
Axial Flow Compressor Noise Studies
,”
SAE Trans.
0096-736X,
70
, pp.
309
322
.
9.
Rizk
,
W.
, and
Seymour
,
D. F.
, 1964, “
Investigation Into Failure of Gas Circulators at Hinkley Point Nuclear Power Station
,”
Proc. Inst. Mech. Eng.
0020-3483,
179
(
21
), pp.
627
673
.
10.
Parker
,
R.
, 1966, “
Resonance Effects in Wake Shedding From Parallel Plates: Some Experimental Observations
,”
J. Sound Vib.
0022-460X,
4
(
1
), pp.
62
72
.
11.
Parker
,
R.
, 1967, “
Resonance Effects in Wake Shedding From Parallel Plates: Calculation of Resonant Frequencies
,”
J. Sound Vib.
0022-460X,
5
(
2
), pp.
330
343
.
12.
Parker
,
R.
, 1968, “
An Investigation of Acoustic Resonance Effects in an Axial Flow Compressor Stage
,”
J. Sound Vib.
0022-460X,
8
(
2
), pp.
281
297
.
13.
Mather
,
J. S. B.
,
Savidge
,
J.
, and
Fisher
,
M. J.
, 1971, “
New Observations on Tone Generation in Fans
,”
J. Sound Vib.
0022-460X,
16
(
3
), pp.
407
418
.
14.
Saule
,
A. V.
, 1974, “
Some Observations About the Components of Transonic Fan Noise From Narrowband Spectral Analysis
,”
NASA
Report No. TN-7788.
15.
Kaji
,
S.
, and
Okazaki
,
T.
, 1970, “
Propagation of Sound Waves Though a Blade Row, Parts I and II
,”
J. Sound Vib.
0022-460X,
11
(
3
), pp.
339
375
.
16.
Smith
,
S. N.
, 1973, “
Discrete Frequency Sound Generation in Axial Flow Turbo-Machines
,” (British) Aeronautical Research Council, Report No. 3709.
17.
Amiet
,
R. K.
, 1974, “
Transmission and Reflection of Sound by Two Blade Rows
,”
J. Sound Vib.
0022-460X,
34
(
3
), pp.
399
412
.
18.
Krishnappa
,
G.
, 1975, “
Fan Aeroacoustics: The Effect of Stator Blade Number and Spacing on In-Duct Noise Signatures
,”
Proceedings of the AIAA Aero-Acoustics Conference
, Hampton, VA, AIAA Paper No. 75-444.
19.
Kirillov
,
I. I.
, and
Laskin
,
A. C.
, 1972, “
Non-Steady Process in Space Between Blades of Turbo-Machines
,”
Energomashinostroenie
0131-1336,
18
(
5
), pp.
12
14
.
20.
Scalzo
,
A. J.
,
Allen
,
J. M.
, and
Antos
,
R. J.
, 1986, “
Analysis and Solution of a Non-Synchronous Vibration Problem in the Last Turbine Blade of a Large Industrial Combustion Turbine
,” ASME Paper No. 86-GT-230.
21.
Baumgartner
,
M.
,
Kameier
,
F.
, and
Hourmouziadis
,
J.
, 1995, “
Non-Engine Order Blade Vibration in a High Pressure Compressor
,”
Proceedings of the ISABE 12th International Symposium on Airbreathing Engines
, Melbourne, Australia, pp.
1
13
.
22.
Camp
,
T. R.
, 1999, “
A Study of Acoustic Resonance in a Low-Speed Multistage Compressor
,”
ASME J. Turbomach.
0889-504X,
121
, pp.
36
43
.
23.
Woodley
,
B. M.
, and
Peake
,
N.
, 1999, “
Resonant Acoustic Frequencies of a Tandem Cascade. Part I. Zero Relative Motion, Part II. Rotating Blade Rows
,”
J. Fluid Mech.
0022-1120,
393
, pp.
215
240
, 241–256.
24.
Woodley
,
B. M.
, and
Peake
,
N.
, 1999, “
Resonant Acoustic Frequencies of a Tandem Cascade. Part II. Rotating Blade Rows
,”
J. Fluid Mech.
0022-1120,
393
, pp.
241
256
.
25.
Mailach
,
R.
,
Lehmann
,
I.
, and
Vogeler
,
K.
, 2001, “
Rotating Instabilities in an Axial Compressor Originating From the Fluctuating Blade Tip Vortex
,”
ASME J. Turbomach.
0889-504X,
123
, pp.
453
463
.
26.
Hellmich
,
B.
, and
Seume
,
J. R.
, 2004, “
Acoustic Resonance in a Four-Stage High-Speed Axial Compressor
,” Paper No. ISROMAC 10-2004-004.
27.
Hellmich
,
B.
, and
Seume
,
J. R.
, 2006, “
Causes of Acoustic Resonance in a High-Speed Axial Compressor
,” ASME Paper No. GT2006-90947.
28.
Thomassin
,
J.
,
Vo
,
H. D.
, and
Murithi
N.
, 2008, “
Experimental Demonstration of the Tip Clearance Flow Resonance Behind Compressor Non-synchronous Vibration
,” ASME Paper No. GT2008-50303.
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