Christensen’s stochastic theory of hydrodynamic lubrication of rough surfaces is used to study the effect of surface roughness in an infinitely long porous journal bearing operating under steady conditions. It is shown that the surface roughness considerably influences the bearing performance; the direction of the influence depends on the roughness type.

1.
Chow, P. L., and Saibel, E. A., 1977, “On the Average Solutions of Stochastic Reynolds Equations,” Proc. 4th Leeds-Lyon Symp., Paper II(i), Lyon, France, pp. 29–31.
2.
Christensen, H., and To̸nder, K., 1970a, “Tribology of Rough Surfaces: Stochastic Models of Hydrodynamic Lubrication,” SINTEF Research Report No. 10/69-18.
3.
Christensen
H.
,
1970
b, “
Stochastic Model for Hydrodynamic Lubrication of Rough Surfaces
,”
Proc. Instn. Mech. Engrs.
, Part I, Vol.
184
, No.
56
, pp.
1013
1022
.
4.
Conte de Boor, 1981, Elementary Numerical Analysis an Algorithmic Approach, McGraw-Hill, New York.
5.
Floberg
L.
,
1961
, “
Boundary Conditions of Cavitation Regions in Journal Bearings
,”
ASLE Transactions
, Vol.
4
, pp.
282
286
.
6.
Morgan, V. T. and Cameron, A., 1957, “The Mechanism of Lubrication in Porous Metal Bearings,” Proc. Conf. on Lubrication and Wear, Instn. Mech. Engrs., London, Paper No. 89, pp. 151–157.
7.
Murti
P. R. K.
,
1975
, “
Effect of Slip Flow in Narrow Porous Bearings with Arbitrary Wall Thickness
,”
ASME Journal of Applied Mechanics
, Vol.
42
(
2
), June, pp.
305
310
.
8.
Phan-Thein
N.
,
1982
, “
On the Mean Reynolds Equation in the Presence of Homogeneous Random Surface Roughness
,”
ASME Journal of Applied Mechanics
, Vol.
49
, pp.
476
480
.
9.
Prakash
J.
, and
Vij
S. K.
,
1972
, “
Axially Undefined Porous Journal Bearing Considering Cavitation
,”
Wear
, Vol.
22
, pp.
1
14
.
10.
Prakash
J.
, and
Vij
S. K.
,
1973
, “
Load Capacity and Time-Height Relations for Squeeze Films between Porous Plates
,”
Wear
, Vol.
24
, pp.
309
322
.
11.
Prakash
J.
, and
To̸nder
K.
,
1977
, “
Roughness Effects in Circular Squeeze Plates
,”
ASLE Transactions
, Vol.
20
, pp.
257
263
.
12.
Prakash
J.
, and
Tiwari
K.
,
1982
a, “
Lubrication of a Porous Bearing with Surface Corrugations
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
104
, pp.
127
134
.
13.
Prakash
J.
, and
Tiwari
K.
,
1982
b, “
An Analysis of the Squeeze Film between Porous Rectangular Plates including the Surface Roughness Effects
,”
J. Mech. Engrg. Sci.
, Vol.
24
, No.
1
, pp.
45
49
.
14.
Prakash
J.
, and
Tiwari
K.
,
1982
c, “
Effect of Surface Roughness on the Squeeze Film between Rotating Porous Annular Disks
,”
J. Mech. Engrg. Sci.
, Vol.
24
, No.
3
, pp.
155
161
.
15.
Prakash
J.
, and
Tiwari
K.
,
1983
, “
Roughness Effects in Porous Circular Squeeze Plates with Arbitrary Wall Thickness
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
105
, pp.
90
95
.
16.
Prakash
J.
, and
Tiwari
K.
,
1984
, “
An Analysis of the Squeeze Film between Rough Porous Rectangular Plates with Arbitrary Porous Wall Thickness
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
106
, pp.
218
222
.
17.
Prakash
J.
, and
Tiwari
K.
,
1985
, “
Effect of Surface Roughness on the Squeeze Film between Rotating Porous Annular Discs with Arbitrary Porous Wall Thickness
,”
Int. J. Mech. Sci.
, Vol.
27
, No.
3
, pp.
135
144
.
18.
Rhode, S. M. and Whicker, D., 1977, “Some Mathematical Aspects of the Hydrodynamic Lubrication of Rough Surfaces,” Proc. 4th Leeds-Lyon Symp., Paper II(ii), Lyon, France, pp. 32–40.
19.
Ting
L. L.
,
1975
, “
Engagement behavior of Lubricated Porous Annular Disks Part 1, Squeeze Film Phase—Surface Roughness and Elastic Deformation Effects
,”
Wear
, Vol.
34
, pp.
159
182
.
20.
To̸nder
K.
, and
Christensen
H.
,
1972
a, “
Lubrication of Cylindrical Rollers with Surface Corrugations
,”
Wear
, Vol.
20
, pp.
309
314
.
21.
To̸nder
K.
, and
Christensen
H.
,
1972
b, “
Waviness and Roughness in Hydrodynamic Lubrication
,”
Proc. Instn. Mech. Engrs.
, Vol.
186
, pp.
807
812
.
22.
White
J. W.
,
Raad
P. E.
et al,
1986
, “
A Numerical Study of Surface Roughness Effects on Ultra-Thin Gas Films
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
108
, pp.
171
177
.
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