Pad bearings are widely used in industry and the lubrication of pad bearings is a fundamental problem in lubrication theory [(1,2)]. The existing analytical work normally assumes constant viscosity and ideal pad surfaces. For a two-dimensional (2D) Reynolds’ equation considering side leakage, even with Newtonian, incompressible, and iso-viscous lubricant, there are only a few analytical solutions available and are summarized as follows: Michell [(3)], for the first time in the history of tribology, presented a solution to the problem of a rectangular pad. Dowson [(4)] points out that: “… he solved a most difficult analytical problem and immediately invented an outstanding mechanical device to execute the required function. … Michell was the first to obtain solutions which took account of side-leakage …. This was a truly remarkable achievement. … the feat was even...

References

References
1.
Cameron
,
A.
, 1966,
Principles of Lubrication
,
Longmans
,
Green, New York
.
2.
Hamrock
,
B. J.
, 1994,
Fundamentals of Fluid Film Lubrication
,
McGraw-Hill
,
New York
.
3.
Dowson
,
D.
, 1998,
History of Tribology
,
2nd ed.
,
John Wiley & Sons
,
New York
.
4.
Michell
,
A. G. M.
, 1905, “
Lubrication of Plane Surfaces
,” Zeitschrift für Mathematik und Physik (
Trans. Inst. Eng. Aust.
,
12
(
3-4
), pp.
48
62
, 1988).
5.
Muskat
,
M.
,
Morgan
,
F.
, and
Meres
,
M. W.
, 1940, “
The Lubrication of Plane Sliders of Finite Width
,”
J. Appl. Phys.
,
11
, pp.
208
219
.
6.
Boswall
,
R. O.
, 1928,
Theory of Film Lubrication
,
Longmans
,
Green, New York
.
7.
Wood
,
W. L.
, 1949, “
XIX. Note on a New Form of the Solution of Reynolds’ Equation for Michell Rectangular and Sector-Shaped Pads
,”
Philos. Mag Ser., 7
,
40
(
301
), pp.
220
226
.
8.
Archibald
,
F. R.
, 1950, “
A Simple Hydrodynamic Thrust Bearing
,”
Trans. ASME.
,
72
, pp.
393
400
.
9.
Hays
,
D. F.
, 1958, “
Plane Sliders of Finite Width
,”
Tribol. Trans.
,
1
(
2
), pp.
233
240
.
You do not currently have access to this content.