On the computation of viscous forces near the moving contact line

Abstract eng:
We present a numerical modeling of partially wetting plate withdrawn from a liquid reservoir at small capillary numbers in situations where a dynamic contact line at a certain height forms. We show that the main part of the dissipation on the plate arrises from the viscous friction near the contact line region. Previously, we showed in [J. Comp. Phys., 228:5370–5389, 2009] that the computed viscous dissipation on the plate depends on the mesh resolution. Here we investigate the effects of viscosity ratio on the calculation of viscous friction near the contact line region. We use an adaptive flow solver to focus the computations on contact line region. We discuss the computations of frictional drag close to the contact line region when varying the mesh resolution and the viscosity ratio.

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