To estimate molecular gas film lubrication (MGL) characteristics, we propose a modified bearing number Λ′ and a modified squeeze number σ′, which are, respectively, the conventional bearing Λ and squeeze number σ divided by the relative Poiseuille flow rate Q˜p0. Using Λ′ and σ′, the linearized MGL problem can be reduced to the continuum gas film lubrication problem and the MGL characteristics can be exactly estimated, if the characteristic flow rate corresponding to the spacing, Q˜p0, is known. For nonlinear MGL problems, the lubrication characteristics can be verified to be roughly estimated by Λ′ and σ′ both in rectangular slider bearings and in circular squeeze-film thrust bearings.

1.
Bhatnagar
P. L.
,
Gross
E. P.
, and
Krook
M.
,
1954
, “
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
,”
Phys. Rev.
, Vol.
94
, pp.
511
524
.
2.
Bhushan
B.
, and
Tonder
K.
,
1989
a, “
Roughness-Induced Shear-and Squeeze-Film Effects in Magnetic Recording—Part I: Analysis
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
111
, pp.
220
227
.
3.
Bhushan
B.
, and
Tonder
K.
,
1989
b, “
Roughness-Induced Shear- and Squeeze-Film Effects in Magnetic Recording—Part 11: Applications
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
111
, pp.
228
237
.
4.
Bhushan, B. ed., 1995, Handbook of Micro/Nanotribology, Chapter 13, Molecular Gas Film Lubrication (MGL), CRC press, pp. 559–604.
5.
Diprima
R. C.
,
1968
, “
Asymptotic Methods for an Infinitely Long Slider Squeeze-Film Bearing
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
90
, pp.
173
183
.
6.
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
.
7.
Fukui
S.
, and
Kaneko
R.
,
1990
, “
A Database for Interpolation of Poiseuille Flow Rates for High Knudsen Number Lubrication Problems
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
112
, pp.
78
83
.
8.
Gross, W. A. ed., 1980, Fluid Film Lubrication, Wiley, Chapter 6.
9.
Matsuda
R.
, and
Fukui
S.
,
1995
a, “
Asymptotic Analysis of Ultra-Thin Gas Squeeze Film Lubrication for Infinite Squeeze Number (Extension of Pan’s Theory to the Molecular Gas Film Lubrication Equation)
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
117
, pp.
9
15
.
10.
Matsuda, R., and Fukui, S., 1995b, “Ultra-Thin Gas Squeeze Film Characteristics for Finite Squeeze Numbers,” to be published in ASME JOURNAL OF TRIBOLOGY (ASME Paper No. 95-Trib-16).
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