On a mathematical model of journal bearing lubrication

0359859 - ÚI 2012 RIV NL eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GA201/09/0917
Grant ostatní: GA ČR(CZ) GA201/06/0352
Výzkumný záměr: CEZ:AV0Z10300504; CEZ:AV0Z10190503
Klíčová slova: existence of weak solutions * incompressible non-Newtonian fluids * pressure and shear rate dependent viscosity * inflow/outflow boundary conditions * filtration boundary conditions
Kód oboru RIV: BK - Mechanika tekutin
Impakt faktor: 0.738, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0197559