In this paper, an efficient and accurate numerical procedure to determine the thermo-hydrodynamic performance of cavitating bearings is described. This procedure is based on the earlier development of Elrod for lubricating films, in which the properties across the film thickness are determined at Lobatto points and their distributions are expressed by collocated polynomials. The cavitated regions and their boundaries are rigorously treated. Thermal boundary conditions at the surfaces, including heat dissipation through the metal to the ambient, are incorporated. Numerical examples are presented comparing the predictions using this procedure with earlier theoretical predictions and experimental data. With a few points across the film thickness and across the journal and the bearing in the radial direction, the temperature profile is very well predicted.

1.
Abramovitz, M., and Stegun, I. A., 1965, Handbook of Mathematic Functions with Formulas, Graphs and Mathematical Tables, U.S. Bureau of Standards, p. 920.
2.
Anderson, D. A., Tennehill, J. C., and Pletcher, R. H., 1984, Computational Fluid Mechanics and Heat Transfer, Hemisphere Publishing, New York, pp. 99–117.
3.
Boncompain
R.
,
Fillon
M.
, and
Frene
J.
,
1986
, “
Analysis of Thermal Effects in Hydrodynamic Bearings
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
108
, pp.
219
224
.
4.
Brewe
D. E.
,
1986
, “
Theoretical Modeling of Vapor Cavitation in Dynamically Loaded Journal Bearings
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
108
, pp.
628
638
.
5.
Douglas
J.
, and
Gunn
J. E.
,
1964
, “
A General Formulation of Alternating Direction Methods—Part I: Parabolic and Hyperbolic Problems
,”
Numerische Mathematik
, Vol.
6
, pp.
428
453
.
6.
Dowson
D.
,
Hudson
J.
,
Hunter
B.
, and
March
C.
,
1966–67
, “
An Experimental Investigation of the Thermal Equilibrium of Steadily Loaded Journal Bearings
,”
Proc. Inst. of Mech. Engr.
, Vol.
101
, Part 3B, pp.
70
80
.
7.
Elrod, H. G., and Adams, M. L., 1974, “A Computer Program for Cavitation and Starvation Problems,” Cavitation and Related Phenomena in Lubrication, Mechanical Engineering Publications, New York, pp. 37–41.
8.
Elrod
H. G.
,
1981
, “
A Cavitation Algorithm
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
103
, pp.
350
354
.
9.
Elrod
H. G.
,
1991
, “
Efficient Numerical Method for Computation of Thermohydrodynamics of Laminar Lubricating Films
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
113
, pp.
506
511
.
10.
Elrod, H. G., and Vijayaraghavan, D., 1995, “Film Temperatures in the Presence of Cavitation,” NASA CR-195481; US Army ARL-CR-231.
11.
Ferron
J.
,
Frene
J.
, and
Boncompain
R.
,
1983
, “
A Study of the Thermohydrodynamic Performance of a Plain Journal Bearing; Comparison between Theory and Experiments
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
105
, pp.
422
428
.
12.
Fitzgerald
M. K.
, and
Neal
P. B.
,
1992
, “
Temperature Distribution and Heat Transfer in Journal Bearings
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
114
, pp.
122
130
.
13.
Han
T.
, and
Paranjpe
R. S.
,
1990
, “
A Finite Volume Analysis of Thermohydrodynamic Performance of Finite Journal Bearings
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
112
, pp.
557
566
.
14.
Heshmat
H.
, and
Pinkus
O.
,
1986
, “
Mixing Inlet Temperatures in Hydrodynamic Bearings
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
108
, pp.
221
248
.
15.
Jakobsson, B., and Floberg, L., 1957, “The Finite Journal Bearing Considering Vaporisation,” Transactions of Chalmers University of Technology, Report No. 190.
16.
Khonsari
M. M.
, and
Beaman
J. J.
,
1985
, “
Thermohydrodynamic Analysis of Laminar Incompressible Journal Bearings
,”
ASLE Transactions
, Vol.
29
, pp.
141
150
.
17.
Khonsari
M. M.
,
1987
, “
A Review of Thermal Effects in Hydrodynamic Bearings, Part I: Slider and Thrust Bearings; Part II: Journal Bearings
,”
ASLE Transactions
, Vol.
30
, pp.
19
33
.
18.
Khonsari
M. M.
, and
Wang
S. H.
,
1991
, “
On the Fluid-Solid Interaction in Reference to Thermohydrodynamic Analysis of Journal Bearings
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
113
, pp.
398
404
.
19.
Knight
J. D.
, and
Niewiarowski
A. J.
,
1990
, “
Effects of Two Film Rupture Models on the Thermal Analysis of a Journal Bearing
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
112
, pp.
183
188
.
20.
Lund
J. W.
, and
Tonnesen
J.
,
1984
, “
Approximate Analysis of Temperature Conditions in a Journal Bearing Part II: Applications
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
106
, pp.
237
245
.
21.
Ma
M. T.
, and
Taylor
C. M.
,
1994
, “
Prediction of Temperature Fade in the Cavitation Region of Two-Lobe Journal Bearing
,”
Proc. Inst. of Mech. Engr, Part J: Journal of Eng. Tribology
, Vol.
208
, pp.
133
139
.
22.
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
.
23.
Mitsui
J.
,
1987
, “
A Study of Thermohydrodynamic Lubrication in a Circular Journal Bearing
,”
Tribology International
, Vol.
20
, No.
6
, pp.
331
341
.
24.
Mittwollen
N.
, and
Glienicke
J.
,
1990
, “
Operating Conditions of Multi-Lobe Journal Bearings Under High Thermal Loads
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
1112
, pp.
330
340
.
25.
Olsson, K. O., 1965, “Cavitation in Dynamically Loaded Bearings,” Transactions of Chalmers University of Technology, Report No. 308.
26.
Ott
H. H.
, and
Paradissiadis
G.
,
1988
, “
Analysis of Thermal Effects in Hydrodynamic Bearings
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
110
, pp.
439
447
.
27.
Paranjpe
R. S.
,
1992
, “
Analysis of Non-Newtonian Effects in Dynamically Loaded Journal Bearings Including Mass Conserving Cavitation
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
114
, pp.
736
746
.
28.
Paranjpe
R. S.
, and
Han
T.
,
1994
a, “
A Study of the Thermohydrodynamic Performance of Steadily Loaded Journal Bearings
,”
STLE Tribology Transactions
, Vol.
37
, pp.
679
690
.
29.
Paranjpe, R. S., and Han, T., 1994b, “A Transient Thermohydrodynamic Analysis Including Mass Conserving Cavitation for Dynamically Loaded Journal Bearings,” Presented at ASME/STLE Tribology Conference, Maui, Hawaii, Paper: 94-Trib-36.
30.
Pinkus, O., 1990, Thermal Effects of Fluid Film Tribology, ASME Press, New York.
31.
Villadsen, J., and Michelsen, M. L., 1978, Solution of Differential Equation Models by Polynomial Approximation, Prentice-Hall, Englewood Cliffs, NJ.
This content is only available via PDF.
You do not currently have access to this content.