According to the average flow Reynolds equation and rolling theory, a partial film lubrication model of inlet zone has been developed. The model mainly simulates and reflects the influence of surface topography on the inlet film thickness and inlet zone length. Based on the surface topography analysis, a method to judge the friction condition was proposed. All the calculation was conducted by a numerical method. The result shows that the transverse stripe increases the inlet film thickness and the inlet zone length, while the longitudinal stripe decreases them. The surface roughness will enhance this effect. The surface roughness and the stripe direction also have a significant influence on the contact area ratio and the distribution of stress and film thickness in work zone. Transverse stripe increases the lubricant film thickness and separates the roll and the sheet with a larger distance in work zone. It also decreases the contact area ratio, the pressure stress and friction stress of the work zone. Whereas longitudinal stripe decreases the film thickness and increases the contact area ratio, pressure stress and friction stress. The surface roughness increases the contact area ratio, pressure stress and friction stress.

References

References
1.
Liu
,
L. M.
,
Zang
,
Y.
, and
Chen
,
Y. Y.
,
2010
, “
Hydrodynamic Analysis of Partial Film Lubrication in the Cold Rolling Process
,”
Int. J. Adv. Manuf. Technol.
,
54
(
5–8
), pp.
489
493
.10.1007/s00170-010-2951-5
2.
Liu
,
L. M.
,
Zang
,
Y.
, and
Chen
,
Y. Y.
,
2010
, “
Study on the Hydrodynamic Lubrication Behavior in Cold Rolling Process
,”
Adv. Mater. Res.
, 154–155, pp.
731
737
.10.4028/www.scientific.net/AMR.154-155.731
3.
Patir
,
N.
, and
Cheng
,
H. S.
,
1978
, “
An Average Flow Model for Determining Effects of Three Dimensional Roughness on Partial Hydrodynamic Lubrication
,”
ASME J. Tribol.
,
100
(
1
), pp.
12
17
.10.1115/1.3453103
4.
Patir
,
N.
, and
Cheng
,
H. S.
,
1979
, “
Application of Average Flow Model to Lubrication Between Rough S1iding Surfaces
,”
ASME J. Tribol.
,
101
(
2
), pp.
220
229
.10.1115/1.3453329
5.
Sheu
,
S.
, and
Wilson
,
W. R. D.
,
1994
, “
Mixed Lubrication of Strip Rolling
,”
Tribol. Trans.
,
37
(
3
), pp.
483
493
.10.1080/10402009408983321
6.
Mancini
,
E.
,
Sasso
,
M.
,
Amodio
,
D.
,
Ferretti
,
R.
, and
Sanfilippo
,
F.
,
2011
, “
Surface Defect Generation and Recovery in Cold Rolling of Stainless Steel Strips
,”
ASME J. Tribol.
,
133
(
1
), pp.
1
9
.10.1115/1.4002218
7.
Hu
,
P. H.
, and
Ehmann
,
K. F.
,
2000
, “
A Dynamic Model of the Rolling Process. Part I: Homogeneous Model
,”
Int. J. Mach. Tools Manuf.
,
40
(
1
), pp.
1
19
.10.1016/S0890-6955(99)00049-8
8.
Hu
,
P. H.
, and
Ehmann
,
K. F.
,
2000
, “
A Dynamic Model of the Rolling Process. Part II: Inhomogeneous Model
,”
Int. J. Mach. Tools Manuf.
,
40
(
1
), pp.
21
31
.10.1016/S0890-6955(99)00050-4
9.
Liu
,
Y. J.
, and
Tieu
,
A. K.
,
2002
, “
A Thermal Mixed Film Lubrication Model in Cold Rolling
,”
J. Mater. Process. Technol.
, 130–131, pp.
202
207
.
10.
Tieu
,
A. K.
,
Kosasih
,
P. B.
, and
Godbole
,
A.
,
2006
, “
A Thermal Analysis of Strip-Rolling in Mixed-Film Lubrication With O/W Emulsions
,”
Tribol. Int.
,
39
(
12
), pp.
1591
1600
.10.1016/j.triboint.2006.01.015
11.
Wilson
,
W. R. D.
, and
Walowit
,
J. A.
,
1971
, “
An Isothermal Hydrodynamic Lubrication Theory for Strip Rolling With Front and Back Tension
,”
Tribol. Conv., I. Mech. E.
, pp.
164
172
.
12.
Lu
,
C.
,
Tieu
,
A. K.
, and
Jiang
,
Z. Y.
,
2003
, “
Modeling of the Inlet Zone in the Mixed Lubrication Situation of Cold Strip Rolling
,”
J. Mater. Process. Technol.
,
140
(
1
), pp.
569
575
.10.1016/S0924-0136(03)00794-5
13.
Wu
,
C. W.
, and
Zheng
,
L. Q.
,
1989
, “
An Average Reynolds Equation for Partial Film Lubrication With a Contact Factor
,”
ASME J. Tribol.
,
111
(
1
), pp.
188
191
.10.1115/1.3261872
14.
Wen
,
S. Z.
,
1990
,
Principles of Tribology
,
Tsinghua University
,
Beijing, China
.
15.
Zhao
,
Z. Y.
,
1996
,
Metal Plasticity Deformation and Roll Theory
,
Metallurgical Industry
,
Beijing, China
.
16.
Zou
,
J. X.
,
2006
,
Rolling Machine
,
Metallurgical Industry
,
Beijing, China
.
17.
Christensen
,
H.
,
1970
, “
Statistic Models for Hydrodynamic Lubrication of Rough Surfaces
,”
Proc. Inst. Mech. Eng.
,
184
(
6
), pp.
1013
1022
.10.1243/PIME_PROC_1969_184_074_02
You do not currently have access to this content.