For turbomachines operating at supercritical shaft speed, it is important to understand the characteristics of unsteady fluid forces on the impeller that occur due to shaft vibration. The present paper treats the forces on an open-type centrifugal impeller in whirling motion using unsteady potential flow theory. The whirling forces obtained agree reasonably with experimental results and show a destabilizing region at small positive whirl. It was found that the destabilizing force is due to the forces on the hub caused by temporal change in the thickness of the flow channel, with minor contribution of tip leakage on the destabilization.

1.
Brennen, C. E., 1994, Hydrodynamics of Pumps, Concepts ETI and Oxford University Press.
2.
Ohashi
,
H.
, and
Shoji
,
H.
,
1987
, “
Lateral fluid forces on whirling centrifugal impeller (2nd report: Experiment in vaneless diffuser)
,”
ASME J. Fluids Eng.
,
109
, pp.
94
99
.
3.
Tsujimoto, Y., and Acosta, A. J., 1987, “Theoretical study of impeller and/or vaneless diffuser attributed rotating stalls and their effects on whirling instability of a centrifugal impeller,” Work group on the behavior of hydraulic machinery under steady oscillatory conditions, Lille, France.
4.
Jery, B., Acosta, A. J., Brennen, C. E., and Caughey, T. K., 1985, “Forces on centrifugal pump impellers,” Proc. Second Int. Pump Symp., Houston, Texas, 21–32.
5.
Adkins
,
D. R.
, and
Brennen
,
C. E.
,
1988
, “
Analyses of hydrodynamic radial forces on centrifugal pump impellers
,”
ASME J. Fluids Eng.
,
110
, pp.
20
28
.
6.
Tsujimoto
,
Y.
,
Acosta
,
A. J.
, and
Brennen
,
C. E.
,
1988
, “
Theoretical study of fluid forces on a centrifugal impeller rotating and whirling in a volute
,”
ASME J. Vib., Acoust., Stress, Reliab. Des.
,
110
, pp.
263
269
.
7.
Tsujimoto, Y., Acosta, A. J., and Yoshida, Y., 1988, “A theoretical study of fluid forces on a centrifugal impeller rotating and whirling in a vaned diffuser,” NASA CP 3026, pp. 307–322.
8.
Ohashi, H., Sakurai, A., and Nishijima, J., 1988, “Influence of impeller and diffuser geometries on the lateral fluid forces of whirling centrifugal impeller,” NASA CP 3026, 285–306.
9.
Bolleter
,
U.
,
Wyss
,
A.
,
Welte
,
I.
, and
Sturcher
,
R.
,
1987
, “
Measurement of hydrodynamic interaction matrices of boiler feed pump impellers
,”
ASME J. Vib., Acous., Stress, Reliab. Des.
,
109
, pp.
144
151
.
10.
Guinzburg
,
A.
,
Brennen
,
C. E.
,
Acosta
,
A. J.
, and
Caughey
,
T. K.
,
1994
, “
Experimental results for the rotordynamic characteristics of leakage flows in centrifugal pump
,”
ASME J. Fluids Eng.
,
116
, pp.
110
115
.
11.
Childs
,
D. W.
,
1989
, “
Fluid structure interaction forces at pump-impeller-shroud surface for Rotordynamic calculations
,”
ASME J. Vib., Acoust., Stress, Reliab. Des.
,
111
, pp.
216
225
.
12.
Thomas
,
H. J.
,
1958
, “
Instabile Eigenschwingungen von Turbinenlaufern Angefacht durch die Spaltstroemung in Stopfubuchsen und Bechauchflug (Unstable Natural Vibrations of Turbine Rotors Induced by the Clearance Flows in Glands and Blading)
,”
Bull. De. L. A. I. M.
,
71
, pp.
1039
1063
.
13.
Alford
,
J. S.
,
1985
, “
Protecting Turbomachinery from Self-Excited Rotor Whirl
,”
ASME J. Eng. Power
,
87
, Oct., pp.
333,334
333,334
.
14.
Martinez-Sanchez
,
M.
,
Jaroux
,
B.
,
Song
,
S. J.
, and
Yoo
,
S.
,
1995
, “
Measurement of Turbine Blade-Tip Rotordynamic Excitation Forces
,”
ASME J. Turbomach.
,
117
, July, pp.
384
393
.
15.
Song
,
S. J.
, and
Martinez-Sanchez
,
M.
,
1997
, “
Rotordynamic Forces Due to Turbine Tip Leakage-Part I: Blade Scale Effects
,”
ASME J. Turbomach.
,
119
, Oct., pp.
695
703
.
16.
Song
,
S. J.
, and
Martinez-Sanchez
,
M.
,
1997
, “
Rotordynamic Forces Due to Turbine Tip Leakage-Part II: Radius Scale Effects and Experimental Verification
,”
ASME J. Turbomach.
,
119
, Oct., pp.
704
713
.
17.
Storace, A. F., Wisler, D. C., Shin, H.-W., Beacher, B. F., Ehrich, F. F., Spakovszky, Z. S., Martinez-Sanchez, M., and Song, S. J., 2000, “Unsteady flow and whirl-inducing forces in axial-flow compressors. Part I—experiment,” Proceedings of ASME Turbo Expo 2000.
18.
Ehrich, F. F., Spakovszky, Z. S., Martinez-Sanchez, M., Song, S. J., Wisler, D. C., Storace, A. F., Shin, H.-W., and Beacher, B. F., 2000, “Unsteady flow and whirl-inducing forces in axial-flow compressors. Part II—analysis,” Proceedings of ASME Turbo Expo 2000.
19.
Bhattacharyya
,
A.
,
Acosta
,
A. J.
,
Brennen
,
C. E.
, and
Caughey
,
T. K.
,
1997
, “
Rotordynamic Forces in Cavitating Inducers
,”
ASME J. Fluids Eng.
,
119
, Dec., pp.
768
774
.
20.
Ishii
,
N.
,
Yoshida
,
Y.
,
Tsujimoto
,
Y.
,
Ohashi
,
H.
, and
Kano
,
F.
,
1999
, “
The Rotordynamic forces on an open-type centrifugal compressor impeller in whirling motion
,”
ASME J. Fluids Eng.
,
121
, No.
2
, pp.
259
266
.
21.
Tsujimoto
,
Y.
,
Imaichi
,
K.
,
Tomohiro
,
T.
, and
Gotoo
,
M.
,
1986
, “
A Two-Dimensional Analysis of Unsteady Torque on Mixed Flow Impellers
,”
ASME J. Fluids Eng.
,
108
, pp.
26
33
.
22.
Chen
,
G. T.
,
Greitzer
,
E. M.
,
Tan
,
C. S.
, and
Marble
,
F. E.
,
1991
, “
Similarity Analysis of Compressor Tip Clearance Flow Structure
,”
ASME J. Turbomach.
,
113
, pp.
260
271
.
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