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On a mathematical model of journal bearing lubrication
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SYSNO ASEP 0359859 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On a mathematical model of journal bearing lubrication Author(s) Lanzendörfer, Martin (UIVT-O) SAI, RID, ORCID
Stebel, Jan (MU-W) RID, ORCID, SAISource Title Mathematics and Computers in Simulation. - : Elsevier - ISSN 0378-4754
Roč. 81, č. 11 (2011), s. 2456-2470Number of pages 15 s. Language eng - English Country NL - Netherlands Keywords existence of weak solutions ; incompressible non-Newtonian fluids ; pressure and shear rate dependent viscosity ; inflow/outflow boundary conditions ; filtration boundary conditions Subject RIV BK - Fluid Dynamics R&D Projects GA201/09/0917 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10300504 - UIVT-O (2005-2011) AV0Z10190503 - MU-W (2005-2011) UT WOS 000292494800007 EID SCOPUS 79959304888 DOI 10.1016/j.matcom.2011.03.011 Annotation We consider the isothermal steady motion of an incompressible fluid whose viscosity depends on the pressure and the shear rate. The system is completed by suitable boundary conditions involving non-homogeneous Dirichlet, Navier’s slip and inflow/outflow parts. We prove the existence of weak solutions and show that the resulting level of the pressure is fixed by the boundary conditions. The paper is motivated by the journal bearing lubrication problem and extends the earlier results for homogeneous boundary conditions. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2012
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