This paper describes an imbalanced torque force, called the Thomas/Alford force, of a partial-admission turbine for the rocket engine turbopump. The Thomas/Alford force is a destabilizing force imposed on the rotor that could cause rotor dynamic instability. This, in turn, may impair stable operation of the rocket engine and trigger mission failure. Such destabilizing force should be avoided as its characteristics have not been discussed in detail. In this study, Thomas/Alford forces for typical symmetric partially open/closed nozzle patterns with an open/closed ratio are analyzed. For such an open/closed ratio, it was determined that the Thomas/Alford force varied with the whirling angle, and whether the open/closed ratio may impair stable operation and reliability of the rocket engine turbopump is contingent on avoiding such fluctuation. The reason for such fluctuation was investigated by mathematical methodology, which was then extended to determine a general rule of patterns for rocket engine designers. This rule would, thus, prove useful in the future development of a partial-admission turbine for a rocket engine turbopump.

References

1.
Thomas
,
H. J.
,
1958
, “
Instabile Eigenschwingungen Von Turbinenlaeufern, Angefacht Durch Die Spaltstroemung in Stopfbuchsen Und Beschauflung
,”
Bull. de l'A.I.M.
,
71
(
11/12
), pp.
1039
1063
.
2.
Alford
,
J. S.
,
1965
, “
Protecting Turbomachinery From Self-Excited Rotor Whirl
,”
ASME J. Eng. Power
,
87
(
4
), pp.
333
343
.
3.
Martinez-Sanchez
,
M.
,
Jaroux
,
B.
,
Song
,
S. J.
, and
Yoo
,
S.
,
1995
, “
Measurement of Turbine Blade-Tip Rotordynamic Excitation Forces
,”
ASME J. Turbomach.
,
117
(
3
), pp.
384
392
.
4.
Yong-Seok
,
K.
, and
Shin-Hyoung
,
K.
,
2010
, “
Prediction of the Non-Uniform Tip Clearance Effect on the Axial Compressor Flow Field
,”
ASME J. Fluids Eng.
,
132
(
5
), p.
051110
.
5.
Storace
,
A. F.
,
2006
, “
A Simple Method for Predicting the Stability of Aerodynamically Excited Turbomachinery
,”
ASME J. Turbomach.
,
129
(
4
), pp.
724
729
.
6.
Pollman
,
E.
,
Schwerdtfeger
,
H.
, and
Termuehlen
,
H.
,
1978
, “
Flow Exited Vibrations in High-Pressure Turbines (Steam Whirl)
,”
ASME J. Eng. Power
,
100
(
2
), pp.
219
228
.
7.
Sotrace
,
A. F.
,
Wilsler
,
D. C.
,
Shin
,
H. W.
,
Beacher
,
B. F.
,
Ehrich
,
F. F.
,
Spakovovszky
,
Z. S.
,
Martinez-Sanchez
,
M.
, and
Song
,
S. J.
,
2001
, “
Unsteady Flow and Whirl-Inducing Forces in Axial-Flow Compressors—Part I: Experiment
,”
ASME J. Turbomach.
,
123
(
3
), pp.
433
445
.
8.
Liese
,
E.
,
2014
, “
Modeling of a Steam Turbine Including Partial Arc Admission for Use in a Process Simulation Software Environment
,”
ASME J. Eng. Gas Turbines Power
,
136
(
11
), p.
112605
.
9.
Kanki
,
H.
, and
Tanitsuji
,
A.
,
2005
, “
Stability of High Pressure Turbine Under Partial Admission Condition
,”
ASME
Paper No. DETC2005-84774.
10.
Maurice
,
L. A.
,
2001
,
Rotating Machinery Vibration, From Analysis to Troubleshooting
,
Marcel Dekker
, New York.
11.
Horlock
,
J. H.
,
1966
,
Axial Flow Turbines
,
Butterworths
, London.
12.
Motoi
,
H.
,
Kitamura
,
A.
,
Sakazume
,
N.
,
Uchiumi
,
M.
,
Uchida
,
M.
,
Sakaki
,
K.
,
Nozaki
,
O.
, and
Iwatubo
,
T.
,
2003
, “
Sub-Synchronous Whirl in the LE-7A Rocket Engine Fuel Turbo-Pump
,” Iscorma-2, Poland, pp.
1
10
.
13.
Hendricks
,
R. C.
,
Tam
,
L. T.
, and
Muszynska
,
A.
,
2004
, “
Turbomachine Sealing and Secondary Flows, Part 2 – Review of Rotordynamics Issues in Inherently Unsteady Flow Systems With Small Clearances
,” National Aeronautics and Space Administration, Glenn Research Center, Cleveland, OH, Report No.
NASA TM-2004-211991
.https://ntrs.nasa.gov/search.jsp?R=20040086722
14.
Linhardt
,
H. D.
, and
Silvern
,
D. H.
,
1961
, “
Analysis of Partial Admission Axial Impulse Turbines
,”
Am. Rocket Soc. J.
,
14
(3), pp.
297
308
.
15.
NASA
,
1974
, “
Liquid Rocket Engine Turbines
,” National Aeronautics and Space Administration, Lewis Research Center, Cleveland, OH, Report No.
NASA SP-8110
.https://ntrs.nasa.gov/search.jsp?R=19740026132
16.
NASA
,
1992
, “
Design and Experimental Performance of a Two Stage Partial Admission Turbine Task B.1/B.4
,” National Aeronautics and Space Administration, Lewis Research Center, Cleveland, OH, Report No.
NASA CR-179548
.https://ntrs.nasa.gov/search.jsp?R=19940022725
17.
Tokuyama
,
K.
,
Funazaki
,
K.
,
Kato
,
H.
,
Shimiya
,
N.
,
Shimagaki
,
M.
, and
Uchiumi
,
M.
,
2015
, “
A Study of the Unsteady Flow Field and Turbine Vibration Characteristics of the Supersonic Partial Admission Turbine for a Rocket Engine
,”
International Gas Turbine Congress
, Tokyo, Japan, Nov. 15–20, p. 962.http://turbo.mech.iwate-u.ac.jp/fel/papers/IGTC2015Tokuyama.pdf
18.
Yoshida
,
T.
,
Sakai
,
N.
,
Matsumoto
,
A.
, and
Kitajima
,
Y.
,
2014
, “
Numerical Estimation of the Unsteady Force on Rotor Blades in a Partial Arc Admission Stage of an Axial Turbine
,”
ASME
Paper No. GT2014-26774.
19.
Yada
,
K.
,
Shimiya
,
N.
,
Uchiumi
,
M.
,
Tokuyama
,
Y.
, and
Funazaki
,
K.
,
2016
, “
Optimized Aerodynamic Design of the Turbine for a Rocket Turbopump
,”
Asian Joint Conference of Propulsion and Power
, Takamatsu, Japan, Paper No. AJCPP2016-008.
20.
Urlichs
,
K.
,
1975
, “
Clearance Flow Generated Transverse Forces at the Rotors of Thermal Turbomachines
,” National Aeronautics and Space Administration, Washington, DC, Report No.
NASA TM-77292
.https://ntrs.nasa.gov/search.jsp?R=19850007871
21.
Childs
,
D.
,
1993
,
Turbomachinery Rotordynamics, Phenomena, Modeling & Analysis
,
Wiley
, Hoboken, NJ.
22.
Yada
,
K.
,
Kawasaki
,
S.
,
Uchiumi
,
M.
,
Kato
,
M.
, and
Funazaki
,
K.
,
2016
, “
Unique Characteristics of Imbalanced Torque Force of a Partial Admission Turbine for 50% Partiality
,”
AIAA
Paper No. 2016-4928.
23.
Wolfram Research
,
2015
,
Mathmatica 10.1 User Guide
,
Wolfram Research
, Champaign, IL.
24.
Frolov
,
V. V.
, and
Ignatevskh
,
E. A.
,
1971
, “
Edge Losses of Energy in Partial Admission Turbine Stages
,”
Teploenergetika
,
18
(
1
), pp.
77
79
.
25.
Frolov
,
V. V.
, and
Ignatevskh
,
E. A.
,
1972
, “
Calculating the Windage Losses in a Turbine Stage
,”
Teploenergetika
,
19
(
11
), pp.
33
37
.
You do not currently have access to this content.