Article ID Journal Published Year Pages File Type
1140425 Mathematics and Computers in Simulation 2011 15 Pages PDF
Abstract

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.

Keywords
Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
Authors
, ,