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A model for fluid flow in non‐fully filled tribological interfaces – Part 1: Basics and Numerics
Author(s) -
Müller Michael,
Bubser Florian,
Ostermeyer G.P.
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310140
Subject(s) - lubrication , flow (mathematics) , tribology , focus (optics) , reynolds equation , fluid dynamics , lubrication theory , mechanics , constraint (computer aided design) , nonlinear system , fluid bearing , boundary (topology) , function (biology) , computer science , reynolds number , mechanical engineering , mathematics , physics , mathematical analysis , engineering , optics , turbulence , quantum mechanics , evolutionary biology , biology
In literature, most contributions on starved lubrication focus on the occurring pressures in macroscopic devices. Hereby, usually the Reynolds equation is modified in different ways. In contrast to this proceeding, this paper's intention is the general investigation of this tribological regime to get a fundamental comprehension on the transition from boundary lubrication to mixed lubrication. The respective model describes the flow of the fluid through two rough surfaces moving relative to each other. The lack of fluid is regarded by the fact that elements may not be fully filled with the fluid. Only elements where the fluid fully fills the gap, generate a pressure. This effect is considered by a type of unilateral constraint in combination with a penalty function. The fluid flow is computed according to the Navier‐Stokes equation. In combination with the continuity equation, a set of implicit nonlinear equations has to be solved. Its potential and basic application fields are finally discussed. A further paper will show applications of the algorithm towards different scenarios. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)