In order to check the numerical analysis of Reynolds equation for gas lubricated bearings, it is desirable to have available exact analytical solutions. This note outlines the construction of some exact, two-dimensional, transient solutions for this purpose.

Issue Section:
Technical Briefs
Topics:
Bearings, Construction, Numerical analysis, Transients (Dynamics)
1.
Ausman
J. S.
,
1961
, “
An Improved Analytical Solution for Self-Acting, Gas-Lubricated Journal Bearings of Finite Length
,”
ASME Journal of Basic Engineering
, Vol.
83
, pp.
188
–
194
.
2.
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
.
3.
McAllister
G. T.
,
Rohde
S. M.
, and
McAllister
M. N.
,
1980
, “
A Note on the Optimum Design of Slider Bearings
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
102
, pp.
117
–
119
.
4.
Michael
W. A.
,
1959
, “
A Gas Film Lubrication Study. Part II: Numerical Solution of the Reynolds Equation for Finite Slider Bearings
,”
IBM Journal of Research and Development
, Vol.
3
, pp.
256
–
259
.
5.
Pan, C. H. T., 1980, “Gas Bearings,” Tribology, Friction, Lubrication and Wear, Szeri, A. Z., ed., McGraw-Hill, New York, NY, pp. 103–228.
6.
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
.
7.
Schmitt
J. A.
, and
DiPrima
R. C.
,
1978
, “
Asymptotic Methods for a General Finite Width Gas Slider Bearing
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
100
, pp.
254
–
260
.
8.
Shepherd
J. J.
,
1988
, “
Asymptotic Analysis of a Narrow Gas-Lubricated, Flat Sector Thrust Bearing
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
110
, pp.
427
–
433
.
9.
Szeri
A. Z.
,
1987
, “
Some Extensions of the Lubrication Theory of Osborne Reynolds
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
109
, pp.
21
–
36
.
10.
White
J. W.
,
1980
, “
Surface Roughness Effects on the Load Carrying Capacity of Very Thin Compressible Lubricating Films
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
102
, pp.
445
–
451
.
11.
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
.
12.
White
J. W.
,
1983
, “
Flying Characteristics of the “Zero-Load” Slider Bearing
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
105
, pp.
484
–
490
.
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 by The American Society of Mechanical Engineers
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