The thermal analysis of flexure-pivot tilting-pad hybrid (combination hydrostatic-hydrodynamic) bearings for cryogenic turbopumps is presented. The advantages of this type of bearing for high speed operation are discussed. Turbulent bulk-flow, variable properties, momentum and energy transport equations of motion govern the flow in the bearing pads. Zeroth-order equations for the flow field at a journal equilibrium position render the bearing flow rate, load capacity, drag torque, and temperature rise. First-order equations for perturbed flow fields due to small amplitude journal motions provide rotordynamic force coefficients. A method to determine the tilting-pad moment coefficients from the force displacement coefficients is outlined. Numerical predictions correlate well with experimental measurements for tilting-pad hydrodynamic bearings. The design of a liquid oxygen, flexure-pad hybrid bearing shows a reduced whirl frequency ratio and without loss in load capacity or reduction in direct stiffness and damping coefficients.

1.
Armentrout
R.
, and
Paquette
D.
,
1993
, “
Rotordynamic Characteristics of Flexure-Pivot Tilting Pad Journal Bearings
,”
STLE Tribology Transactions
, Vol.
36
, No.
3
, pp.
443
451
.
2.
Arumugam, P., Swarnamani, S., and Prabhu, B. S., 1994, “Experimental Identification of Linearized Oil Film Coefficients of Cylindrical and Tilting Pad Bearings,” ASME Paper 94-GT-81.
3.
Barrett
L. E.
,
Allaire
P. E.
, and
Wilson
B. W.
,
1988
, “
The Eigenvalue Dependence of Reduced Tilting Pad Bearing Stiffness and Damping Coefficients
,”
STLE Tribology Transactions
, Vol.
31
, No.
4
, pp.
411
419
.
4.
Bouard, L., Fillon, M., and Frene, J., 1994, “Comparison Between Three Turbulent Models-Application to Thermohydrodynamic Performances of Tilting-Pad Bearings,” International Tribology Conference, AUSTRIB ’94, Perth, Australia, Dec., pp. 119–126.
5.
Brockwell
K.
, and
Kleibub
D.
,
1989
, “
Measurement of the Steady State Operating Characteristics of the Five Shoe Tilting Pad Journal Bearing
,”
STLE Tribology Transactions
, Vol.
32
, No.
2
, pp.
267
275
.
6.
Brockwell
K.
,
Kleibub
D.
, and
Dmochowski
W.
,
1990
, “
Measurement and Calculation of the Dynamic Operating Characteristics of the Five Shoe Tilting Pad Journal Bearing
,”
STLE Tribology Transactions
, Vol.
33
, No.
4
, pp.
481
492
.
7.
Burton, R. A., and Carper, H. J., 1967, “An Experimental Study of Annular Flows with Applications in Turbulent Film Lubrication,” ASME JOURNAL OF LUBRICATION TECHNOLOGY, pp. 381–391.
8.
Butner, M., and Murphy, B., 1986, “SSME Long Life Bearings,” NASA CR Report 179455.
9.
Chen, W. J., 1994, “Bearing Dynamic Coefficients of Flexible Pad Bearings,” STLE Transactions, Preprint No. 94-TC-4D-1.
10.
Childs
D.
, and
Hale
K.
,
1994
, “
A Test Apparatus and Facility to Identify the Rotordynamic Coefficients of High Speed Hydrostatic Bearings
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
116
, No.
1
, pp.
337
344
.
11.
Constantinescu, V. N., and DiMofte, F., 1987, “On the Influence of the Mach Number on Pressure Distribution in Gas Lubricated Step Bearings,” Rev. Roum. Sci. Tech.-Mec. Appl., Tome 32, No. 1, pp. 51–56.
12.
De Choudhury, P., Hill, M., and Paquette, D., “A Flexible Pad Bearing System for a High Speed Centrifugal Compressor,” Proceedings of the 21st Turbomachinery Symposium, Dallas, TX, Sept. 1992, pp. 57–65.
13.
Ettles, C., and Cameron, A., 1968, “Considerations of Flow Across a Bearing Groove,” ASME JOURNAL OF LUBRICATION TECHNOLOGY, pp. 312–319.
14.
Ettles
C. M.
,
1980
, “
The Analysis and Performance of Pivoted Pad Journal Bearings Considering Thermal and Elastic Effects
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
102
, pp.
182
192
.
15.
Ettles
C. M.
,
1992
, “
The Analysis of Pivoted Pad Journal Bearing Assemblies Considering Thermoelastic Deformation and Heat Transfer Effects
,”
STLE Tribology Transactions
, Vol.
35
, No.
1
, pp.
156
162
.
16.
Fillon, M., Bligoud, J-C., and Frene, J., 1991, “Experimental Study of Tilting-Pad Journal Bearings-Comparison with Theoretical Thermoelastohydrodynamic Results,” ASME JOURNAL OF TRIBOLOGY, Paper 91-Trib-17.
17.
Fillon, M., Frene, J., and Boncompain, R., 1987, “Historical Aspects and Present Development on Thermal Effects in Hydrodynamic Bearings,” Proceedings of the 13th Leeds-Lyon Symposium, pp. 27–47.
18.
Flack
R. D.
, and
Allaire
P. E.
,
1984
, “
Literature Review of Tilting Pad and Turbulent Hydrostatic Journal Bearings for Nuclear Main Coolant Pumps
,”
The Shock and Vibration Digest
, Vol.
16
, No.
7
, pp.
3
12
.
19.
Flack
R. D.
, and
Zuck
C. J.
,
1988
, “
Experiments on the Stability of Two Flexible Rotors in Tilting Pad Bearings
,”
STLE Tribology Transactions
, Vol.
31
, No.
2
, pp.
251
257
.
20.
Franchek
N.
,
Childs
D.
, and
San Andres
L.
,
1995
, “
Theoretical and Experimental Comparisons for Rotordynamic Coefficients at a High-Speed, High-Orifice-Compensated Hybrid Bearings
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
117
, No.
2
, pp.
285
290
.
21.
Ha, H. C., Kim, H. J., and Kim, K. W., 1994, “Inlet Pressure Effects on the Thermohydrodynamic Performance of a Large Tilting Pad Journal Bearing,” ASME Paper 94-Trib-26.
22.
Hall
K. R.
,
Eubank
P.
,
Holste
J.
, and
Marsh
K.
,
1986
, “
Performance Equations for Compressible Flow Through Orifices and Other ΔP Devices: A Thermodynamics Approach
,”
AIChe Journal
, Vol.
32
, No.
3
, pp.
517
519
.
23.
Hirs, G. G., 1973, “A Bulk-Flow Theory For Turbulence in Lubricating Films,” ASME JOURNAL OF LUBRICATION TECHNOLOGY, pp. 135–146.
24.
Kim, J., and Palazzolo, A., 1993, “Dynamic Characteristics of TEHD Tilt Pad Journal Bearing Simulation Including Multiple Mode Pad Flexibility Model,” ASME 1993 Vibrations Conference, Vibrations of Rotating Systems, DE-Vol. 60, pp. 363–379.
25.
Knight
J. D.
, and
Barrett
L. E.
,
1988
, “
Analysis of Tilting Pad Journal Bearings with Heat Transfer Effects
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
110
, pp.
128
133
.
26.
Kurtin
K.
,
Childs
D.
,
San Andres
L. A.
, and
Hale
K.
,
1993
, “
Experimental versus Theoretical Characteristics of a High Speed Hybrid (combination Hydrostatic and Hydrodynamic) Bearing
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
115
, No.
2
, pp.
160
169
.
27.
Launder
B.
, and
Leschziner
M.
,
1978
, “
Flow in Finite Width Thrust Bearings Including Inertial Effects
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
100
, pp.
330
345
.
28.
Lund
J.
,
1964
, “
Spring and Damping Coefficients for the Tilting Pad Journal Bearing
,”
ASLE Transactions
, Vol.
7
, pp.
342
352
.
29.
Lund, J., and Bo Pedersen, L., 1986, “The Influence of Pad Flexibility on the Dynamic Coefficients of a Tilting Pad Journal Bearing,” ASME Paper 86-Trib-49.
30.
McCarty, R. D., 1986, NBS Standard Reference Data Base 12, Thermophysical Properties of Fluids, MIPROPS 86, Thermophysics Division, Center for Chemical Engineering, National Bureau of Standards, CO.
31.
Mitsui
J.
,
Hori
Y.
, and
Tanaka
M.
,
1983
, “
Thermohydrodynamic Analysis of Cooling Effect of Supply Oil in Circular Journal Bearing
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
105
, pp.
414
421
.
32.
Nicholas, J. C., and Kirk, R. G., 1979, “Selection and Design of Tilting Pad and Fixed Lobe Journal Bearings for Optimum Rotordynamics,” Proc. of the 8th Turbomachinery Symposium, Turbomachinery Laboratory, Texas A&M University, Dallas, pp. 43–58.
33.
Nicholas
J. C.
, and
Barrett
L. E.
,
1986
, “
The Effect of Bearing Support Flexibility on Critical Speed Prediction
,”
ASLE Transactions
, Vol.
29
, No.
3
, pp.
329
338
.
34.
Nicholas, J. C., 1994, “Tilting Pad Design,” Proc. of the 23th Turbomachinery Symposium, Turbomachinery Laboratory, Texas A&M University, Dallas, pp. 179-194.
35.
Orcutt, F. K., 1967, “The Steady-State Characteristics of the Tilting-Pad Journal Bearing in Laminar and Turbulent Flow Regimes,” ASME JOURNAL OF LUBRICATION TECHNOLOGY, pp. 392–404.
36.
Parkins, D. W., and Horner, D., 1992, “Tilting Pad Journal Bearings-Measured and Predicted Stiffness Coefficients,” STLE Transactions, Pre-print No. 92-TC-3D-2.
37.
Pinkus
O.
,
1984
/85
, “
Optimization of Tilting Pad Journal Bearings Including Turbulence and Thermal Effects
,”
Israel Journal of Technology
, Vol.
22
, pp.
142
154
.
38.
Pinkus, O., 1990, Thermal Aspects of Fluid Film Tribology, ASME Press, NY.
39.
Rouch
K. E.
,
1983
, “
Dynamics of Pivoted-Pad Journal Bearings, Including Pad Translation and Rotation Effects
,”
ASLE Transaction
, Vol.
26
, No.
1
, pp.
102
109
.
40.
San Andres
L. A.
,
1990
, “
Turbulent Hybrid Bearings with Fluid Inertia Effects
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
112
, pp.
699
707
.
41.
San Andres
L. A.
,
1992
, “
Analysis of Turbulent Hydrostatic Bearings with a Barotropic Fluid
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
114
, No.
4
, pp.
755
765
.
42.
San Andres, L., 1993, “Thermohydrodynamic Analysis of Cryogenic Liquid, Turbulent Flow Fluid Film Bearings, Phase I,” Annual Progress Report to NASA Lewis Research Center, NASA Grant NAG3-1434, December.
43.
San Andres, L., 1994, “Thermohydrodynamic Analysis of Cryogenic Liquid, Turbulent Flow Fluid Film Bearings, Phase II,” Annual Progress Report to NASA Lewis Research Center, NASA Grant NAG3-1434, December.
44.
San Andres
L.
,
Yang
Z.
, and
Childs
D.
,
1993
, “
Thermal Effects in Cryogenic Liquid Annular Seals, I: Theory and Approximate Solutions; II: Numerical Solution and Results
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
115
, No.
2
, pp.
267
284
.
45.
Someya, T., (ed.), Journal-Bearing Databook, Springer-Verlag, pp. 227–229, 1988.
46.
Taniguchi
S.
,
Makino
T.
,
Takeshita
K.
, and
Ichimura
T.
,
1990
, “
A Thermohydrodynamic Analysis of Large Tilting-Pad Journal Bearing in Laminar and Turbulent Flow Regimes with Mixing
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
112
, pp.
542
549
.
47.
Van Doormal
J. P.
, and
Raithby
D.
,
1984
, “
Enhancements of the SIMPLE Method for Predicting Incompressible Fluid Flows
,”
Numerical Heat Transfer
, Vol.
7
, pp.
147
163
.
48.
White
M. F.
, and
Chan
S. H.
,
1992
, “
The Subsynchronous Behavior of Tilting-Pad Journal Bearings
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
114
, pp.
167
173
.
49.
Yang, Z., 1992, “Thermohydrodynamic Analysis of Product Lubricated Hydrostatic Bearings in the Turbulent Flow Regime,” Ph.D. dissertation, Mechanical Engineering Department, Texas A&M University, December.
50.
Zeidan, F., 1992, “Developments in Fluid Film Bearing Technology,” Turbomachinery International Magazine, Sept./Oct.
51.
Zeidan, F., and Paquette, D. J., 1994, “Application of High Speed and High Performance Fluid Film Bearings in Rotating Machinery,” Proc. of the 23th Turbomachinery Symposium, Turbomachinery Laboratory, Texas A&M University, Dallas, pp. 209–234.
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