Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900683 | Applied Mathematics and Computation | 2018 | 27 Pages |
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
Authors
G. Bayada, M. EL Alaoui Talibi, M. Hilal,