About new models of slip/no-slip boundary condition in thin film flows
| Autor: | M. El Alaoui Talibi, G. Bayada, M. Hilal |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Applied Mathematics Mathematical analysis 02 engineering and technology Slip (materials science) 021001 nanoscience & nanotechnology Reynolds equation Physics::Fluid Dynamics Computational Mathematics 020303 mechanical engineering & transports 0203 mechanical engineering Critical resolved shear stress Variational inequality Shear stress No-slip condition Boundary value problem Uniqueness 0210 nano-technology |
| Zdroj: | Applied Mathematics and Computation. 338:842-868 |
| ISSN: | 0096-3003 |
| DOI: | 10.1016/j.amc.2018.06.044 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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