Given a bearing of some specified macroscopic shape, what is the effect of texturing its surfaces uniformly? Experimental and numerical investigations on this question have recently been pursued, which we complement here with a mathematical analysis based on a seemingly novel combination of homogenization techniques and perturbation analysis. The flow is assumed governed by the Reynolds equation, with cavitation effects disregarded, and the texture length is assumed much smaller than the bearing’s length. The results, which hold true for small-amplitude periodic textures and in the limit of vanishing period, can be summarized as follows: (a) The texture that maximizes the load for a given minimum clearance is no texture at all (i.e., the untextured shape); and (b) the texture that minimizes the friction coefficient is again the untextured shape.

1.
Brizmer
,
V.
,
Kligerman
,
Y.
, and
Etsion
,
I.
, 2003, “
A Laser Surface Textured Parallel Thrust Bearing
,”
Tribol. Trans.
1040-2004,
46
, pp.
397
403
.
2.
Kovalchenko
,
A.
,
et al.
, 2004, “
The Effect of Laser Texturing of Steel Surfaces and Speed-Load Parameters on the Transition of Lubrication Regime From Boundary to Hydrodynamic
,”
Tribol. Trans.
1040-2004,
47
, pp.
299
307
.
3.
Ronen
,
A.
,
Etsion
,
I.
, and
Kligerman
,
Y.
, 2001, “
Friction-Reducing Surface-Texturing in Reciprocating Automotive Components
,”
Tribol. Trans.
1040-2004,
45
, pp.
359
366
.
4.
Stephens
,
S.
,
et al.
, 2004, “
Deterministic Micro Asperities on Bearings and Seals Using a Modified Liga Process
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
126
, pp.
147
154
.
5.
Tonder
,
K.
, 2004, “
Hydrodynamic Effects of Tailored Inlet Roughnesses: Extended Theory
,”
Tribol. Int.
0301-679X,
37
, pp.
137
142
.
6.
Bayada
,
G.
, and
Faure
,
J.
, 1989, “
A Double Scale Analysis Approach of the Reynolds Roughness. Comments and Application to the Journal Bearing
,”
ASME J. Tribol.
0742-4787,
111
, pp.
323
330
.
You do not currently have access to this content.