A New Approach for Estimating the Friction in Thin Film Lubrication
Joint Authors
Wall, Peter
Lukkassen, Dag
Meidell, Annette
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-01-02
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
An important problem in the theory of lubrication is to model and analyze the effect of surface roughness on, for example, the friction and load carrying capacity.
A direct numerical computation is often impossible since an extremely fine mesh is required to resolve the surface roughness.
This suggests that one applies some averaging technique.
The branch in mathematics which deals with this type of questions is known as homogenization.
In this paper we present a completely new method for computing the friction.
The main idea is that we study the variational problem corresponding to the Reynolds equation.
We prove that the homogenized variational problem is closely related to the homogenized friction.
Finally we use bounds on the homogenized Lagrangian to derive bounds for the friction.
That these bounds can be used to efficiently compute the friction is demonstrated in a typical example.
American Psychological Association (APA)
Lukkassen, Dag& Meidell, Annette& Wall, Peter. 2011. A New Approach for Estimating the Friction in Thin Film Lubrication. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-511910
Modern Language Association (MLA)
Lukkassen, Dag…[et al.]. A New Approach for Estimating the Friction in Thin Film Lubrication. Mathematical Problems in Engineering No. 2010 (2010), pp.1-15.
https://search.emarefa.net/detail/BIM-511910
American Medical Association (AMA)
Lukkassen, Dag& Meidell, Annette& Wall, Peter. A New Approach for Estimating the Friction in Thin Film Lubrication. Mathematical Problems in Engineering. 2011. Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-511910
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511910