Article ID Journal Published Year Pages File Type
8900683 Applied Mathematics and Computation 2018 27 Pages PDF
Abstract
The behaviour of a thin fluid film with a new slip/no slip model (The double parameter slip DPS) on a part of the boundary is studied. From the Stokes equations, the convergence of the velocity, pressure and wall-stress is established. The limit problem is described in terms of a new Reynolds equation involving shear stress and associated with a variational equation. Existence and uniqueness are proved. Relation with the previously known thin film problem with Tresca boundary condition is highlighted. A numerical algorithm is proposed and numerical examples are given.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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