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

G. Bayada, M. EL Alaoui Talibi and M. Hilal

Applied Mathematics and Computation, 2018, vol. 338, issue C, 842-868

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.

Keywords: Lubrication; Slip condition; Critical shear stress; Reynolds equation; Double parameter slip; Variational inequality (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:338:y:2018:i:c:p:842-868

DOI: 10.1016/j.amc.2018.06.044

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