Wednesday, July 31, 2013

1307.8022 (David N. Sibley et al.)

Revisiting the formative works on the moving contact line to connect and
compare modern theories

David N. Sibley, Andreas Nold, Nikos Savva, Serafim Kalliadasis
The motion of a contact line is examined, and comparisons drawn, for a variety of proposed models in the literature. We provide an overview and extension of the original work on the moving contact line problem to elucidate and motivate some of the proposed methods to alleviate the multivalued velocity and nonintegrable stress and pressure singularities, offering a simple introduction to those unfamiliar with the situation and a contemporary look at the early work. We then compare a number of models from the literature in the classic prototype system of spreading of a thin two-dimensional droplet on a planar substrate, namely a variety of slip, disjoining pressure and interface formation models, the latter a sophisticated and complex model introduced by Shikhmurzaev, which differentiates itself from classical models through accounting for a variation in surface layer quantities and having finite-time surface tension relaxation. The thin droplet system utilising a long-wave model for the droplet thickness in a quasistatic spreading regime affords an insight into the behaviours.
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