In solving Reynolds equation with the conventional finite difference method, keeping the flow continuity has ofen been ignored, which will lead to an analysis error in the pressure distribution and leakage rate, especially for discontinuous clearance caused by step structures such as laser surface texturing sealing surfaces. In this paper, a finite difference method is introduced to satisfy the flow continuity to solve the Reynolds equation. Then, the pressure distribution for a typical rectangular step structure is obtained via two different methods: a numerical solution of the exact full Navier-Stokes equations, and a solution of the Reynolds equation solved by the previously mentioned method. A comparison between the two solution methods illustrates that, for both pressure flow and shear flow, the pressure distribution from the new difference method is in good agreement with that from the Navier-Stokes equations, and the new difference method can reflect the characteristic of the pressure sudden-change of the shear flow at the steps. Finally, the pressure distribution and leakage rate of a step-dimpled seal face are acquired with the presented method. The results show that the presented method allows gas-lubricating analysis of mechanical face seals with discontinuous clearance, and can keep the leakage rate continuous in the radial direction.

References

References
1.
Burstein
,
L.
, and
Ingman
D.
, 1999, “
Effect of Pore Ensemble Statistics on Load Support of Mechanical Seal With Pore-Covered Faces
,”
ASME J. Tribol.
,
121
(
4
), pp.
927
932
.
2.
Etsion
,
I.
,
Kligerman
,
Y.
, and
Halperin
,
G.
, 1999, “
Analytical and Experimental Investigation of Laser-Textured Mechanical Seal Faces
,”
Tribol Trans.
,
42
(
3
), pp.
511
516
.
3.
Kligerman
,
Y.
, and
Etsion
,
I.
, 2001, “
Analysis of the Hydrodynamic Effects in a Surface Textured Circumferential Gas Seal
,”
Tribol Trans.
,
44
(
3
), pp.
472
478
.
4.
Etsion
,
I.
, and
Halperin
,
G.
, 2002, “
A Laser Surface Textured Hydrostatic Mechanical Seal
,”
Tribol. Trans.
,
45
(
3
), pp.
430
434
.
5.
Etsion
,
I.
, 2005, “
State of the Art in Laser Surface Texturing
,”
ASME J. Tribol.
,
127
(
1
), pp.
248
253
.
6.
Peng
,
X. D.
,
Du
,
D. B.
,
Sheng
,
S. E.
, and
Li
J. Y.
, 2007, “
Effect of Face Asperity Geometry on Performance of a Liquid Lubricated Face Seal
,”
Tribology
,
27
(
4
), pp.
352
356
.
7.
Feldman
,
Y.
,
Kligerman
,
Y.
,
Etsion
,
I.
, and
Haber
S.
, 2006, “
The Validity of the Reynolds Equation in Modeling Hydrostatic Effects in Gas Lubricated Textured Parallel Surfaces
,”
ASME J. Tribol.
,
128
(
2
), pp.
345
350
.
8.
Chen
,
H. S.
,
Li
,
Y. J.
,
Chen
,
D. R.
, and
Wang
J. D.
, 2007, “
Numerical Analysis on Effect of Regular Surface Topography in Non-Newtonian Fluid Lubrication
,”
Chinese J. Mech. Eng.
,
43
(
8
), pp.
48
52
.
9.
Huang
,
P.
,
Meng
,
Y. G.
, and
Xu
H.
, 2008,
Tribology Course
,
High Education
,
Beijing, China
.
10.
Ogata
H.
, 2005, “
Thermohydrodynamic Lubrication Analysis Method of Step Bearings
,”
IHI Eng. Rev.
,
38
(
1
), pp.
6
10
.
11.
Wen
,
S. Z.
, and
Huang
P.
, 2002,
Theory of Tribology
,
Press of Tsinghua University
,
Beijing, China
.
12.
Constantinescu
,
V. N.
, 1962, “
Analysis of Bearing Operating in Turbulent Regime
,”
Trans. ASME, Ser. D
,
82
, pp.
139
151
.
You do not currently have access to this content.