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On a mathematical model of journal bearing lubrication

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    0359859 - ÚI 2012 RIV NL eng J - Journal Article
    Lanzendörfer, Martin - Stebel, Jan
    On a mathematical model of journal bearing lubrication.
    Mathematics and Computers in Simulation. Roč. 81, č. 11 (2011), s. 2456-2470. ISSN 0378-4754. E-ISSN 1872-7166
    R&D Projects: GA ČR GA201/09/0917
    Grant - others:GA ČR(CZ) GA201/06/0352
    Institutional research plan: CEZ:AV0Z10300504; CEZ:AV0Z10190503
    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
    Impact factor: 0.738, year: 2011

    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.
    Permanent Link: http://hdl.handle.net/11104/0197559

     
     
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