Modelling and analysis of slip conditions in
hydrodynamic lubrication of a piston
skirt-cylinder contact
Mustapha Mechalikh
Faculty of Technology, Rheology and Mechanics Laboratory, Hassiba Benbouali University of Chlef, Chlef, Algeria
Ibrahim Zidane
Department of Mechanical Engineering, Faculty of Technology, Rheology and Mechanics Laboratory,
Hassiba Benbouali University of Chlef, Chlef, Algeria
Abdessoufi Benhamou
Faculty of Technology, Mechanics and Energy Laboratory, Hassiba Benbouali University of Chlef, Chlef, Algeria
Hamid Zaidi
Department of Mechanical Engineering, Pprime Institute, University of Poitiers, Poitiers, France, and
Miloud Tahar Abbes
Faculty of Technology, Mechanics and Energy Laboratory, Hassiba Benbouali University of Chlef, Chlef, Algeria
Abstract
Purpose – After more than a century of agreement with the postulate of non-slip condition (adhesion to the wall), the study of fluid-solid boundary conditions
has shown renewed interest over the past two decades. Although numerous studies have not yet been arrived to a complete description of slip phenomena,
however, it appears that the influence of wetting and/or surface roughness results in a weak interaction between fluid and solid; thus, the presence of the slip
phenomenon is observed at the fluid-solid interface. The purpose of this paper is to highlight the presence of the slip phenomenon at the lubricated piston skirt-
cylinder contact.
Design/methodology/approach – For this proposal, a modified Reynolds equation and operating characteristics are determined by taking into
account the slip conditions at the interface between oil-film and entire cylinder surface.
Findings – The findings indicate that the operating characteristics are strongly influenced when the slip conditions are taken into account at the
interface between oil-film and cylinder surface. The friction force and dissipated power might be reduced to improve diesel engine performances.
Originality/value – Various research studies have been conducted to model the slip phenomenon in different lubricated contacts over the past two
decades. However, there are no studies available concerning the piston-cylinder system.
Peer review – The peer review history for this article is available at: https://publons.com/publon/10.1108/ILT-11-2019-0483/
Keywords Hydrodynamic lubrication, Boundary lubrication, Piston skirt-cylinder contact, Slip/no-slip conditions
Paper type Research paper
Nomenclature
A = dimensionless slip coefficient (A = ah /c);
B = dimensionless piston radius (B = R/L);
b = slip length, m m;
c = radial clearance, m m;
E
b
,E
h
= dimensionless top and bottom skirt eccentricities
(E
b
=e
b
/C and E
h
=e
h
/C);
e
b
,e
h
= top and bottom skirt eccentricities (distance
between the centre at the top and the bottom of the
skirt and the cylinder axis, respectively), m m;
F
–
f
= dimensionless frictional force ( F
f
= C.F
f
/2p RW
1
);
F
f
= frictional force, N;
H = dimensionless fluid-film thickness (H = h/c);
h = fluid-film thickness, m m;
L = piston skirt length, m;
‘ = conrod length, m;
O
xyz
= Cartesian coordinate system;
P = dimensionless pressure (P = pc
2
/ h W
1
R);
p = hydrodynamic pressure, Pa;
Pu = dissipated power (Pu =|F
f
|U), Watt;
Q
z
= flow rate, m
3
/s;
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Industrial Lubrication and Tribology
© Emerald Publishing Limited [ISSN 0036-8792]
[DOI 10.1108/ILT-11-2019-0483]
This research was supported by the Ministry of Higher Education and
Scientific Research and the Directorate General for Scientific Research
and Technological Development of Algeria.
Received 13 November 2019
Revised 17 February 2020
11 April 2020
Accepted 12 April 2020