For the analysis of gas lubricated bearings, Reynolds equation is available in a number of forms—the original version, first-order modified, second-order modified, one-and-a-half order modified, and Boltzmann-Reynolds. All of these variants are asymptotically examined for instances in which local contact occurs in a bearing. These asymptotics serve to identify the order of the respective singularities in pressures, and thus imply the possible consequences of using a particular version of Reynolds equation in the presence of contact.

Issue Section:
Research Papers
Topics:
Bearings
1.
Anaya-Dufresne, M., and Sinclair, G. B., 1994, “Numerical Simulations of Reynolds Equation for Gas Lubricated Bearings when Local Contact Occurs,” Report SM94-1, Department of Mechanical Engineering, Carnegie Mellon University.
2.
Anaya-Dufresne
M.
, and
Sinclair
G. B.
,
1995
, “
Some Exact Solutions of Reynolds Equation
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
117
, pp.
560
–
562
.
3.
Burgdorfer
A.
,
1959
, “
The Influence of the Molecular Mean Free Path on the Performance of Hydrodynamic Gas Lubricated Bearings
,”
ASME Journal of Basic Engineering
, Vol.
81
, pp.
94
–
100
.
4.
Fukui
S.
, and
Kaneko
R.
,
1988
, “
Analysis of Ultra-Thin Gas Film Lubrication Based on Linearized Boltzmann Equation: First Report-Derivation of a Generalized Lubrication Equation Including Thermal Creep Flow
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
110
, pp.
253
–
262
.
5.
Harrison
W. J.
,
1913
, “
The Hydrodynamical Theory of Lubrication with Special Reference to Air as a Lubricant
,”
Transactions of the Cambridge Philosophical Society
, Vol.
22
, pp.
39
–
54
.
6.
Hsia
Y.-T.
, and
Domoto
G. A.
,
1983
, “
An Experimental Investigation of Molecular Rarefaction Effects in Gas Lubricated Bearings at Ultra-Low Clearances
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
105
, pp.
120
–
130
.
7.
Mitsuya
Y.
,
1993
, “
Modified Reynolds Equation for Ultra-Thin Film Gas Lubrication Using 1.5-Order Slip-Flow Model and Considering Surface Accommodation Coefficient
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
115
, pp.
289
–
294
.
8.
Reynolds
O.
,
1886
, “
On the Theory of Lubrication and its Application to Mr. Beauchamp Tower’s Experiments, Including an Experimental Determination of the Viscosity of Olive Oil
,”
Philosophical Transactions of the Royal Society (London)
, Vol.
177
, pp.
157
–
234
.
9.
Ruiz
O. J.
, and
Bogy
D. B.
,
1988
, “
A Comparison of Slider Bearing Simulations Using Different Models
,”
IEEE Transactions on Magnetics
, Vol.
24
, pp.
2754
–
2756
.
10.
Ruiz
O. J.
, and
Bogy
D. B.
,
1990
, “
A Numerical Simulation of the Head-Disk Assembly in Magnetic Hard Disk Files: Part 1—Component Models
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
112
, pp.
593
–
602
.
11.
Sommerfeld
A.
,
1904
, “
Zur Hydrodynamischen Theorie der Schmiermittelreibung
,”
Zeitschrift fur Mathematik und Physik
, Vol.
50
, p.
97
97
.
12.
White
J. W.
, and
Nigam
A.
,
1980
, “
A Factored Implicit Scheme for the Numerical Solution of the Reynolds Equation at Very Low Spacing
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
102
, pp.
80
–
85
.
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