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About new models of slip/no-slip boundary condition in thin film flows

Author

Listed:
  • Bayada, G.
  • EL Alaoui Talibi, M.
  • Hilal, M.

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.

Suggested Citation

  • Bayada, G. & EL Alaoui Talibi, M. & Hilal, M., 2018. "About new models of slip/no-slip boundary condition in thin film flows," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 842-868.
    • Handle: RePEc:eee:apmaco:v:338:y:2018:i:c:p:842-868
    DOI: 10.1016/j.amc.2018.06.044
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