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A new approach for ...
A new approach for estimating the friction in thin film lubrication
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- Lukkassen, Dag (author)
- Narvik University College and Norut Narvik
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- Meidell, Annette (author)
- Narvik University College, 8505 Narvik, Norway
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- Wall, Peter (author)
- Luleå tekniska universitet,Matematiska vetenskaper
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(creator_code:org_t)
- Hindawi Limited, 2010
- 2010
- English.
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In: Mathematical problems in engineering (Print). - : Hindawi Limited. - 1024-123X .- 1563-5147. ; 2010
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Abstract
Subject headings
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- 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
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Matematik
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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