Abstract
Dynamic contact angle correlations for partially-wetting fluids are derived for θ e <θ <π/2 by relieving the contact-line stress singularity with attractive van der Waals intermolecular forces. A macroscopic disjoining pressure for an arbitrary interface is derived from the latter forces by a renormalized coarse-graining scheme with different but consistent distinguished limits near and away from the contact point. The resulting dynamical angle condition for glycerine on Plexiglass is reasonable with a critical capillary number of Ca c ∼ 10−2 for the onset of rolling motion (θ > π/2) and satisfactory agreement with prior predictions for small (θ — θ e).
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© 1999 Springer Science+Business Media Dordrecht
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Indeikina, A., Chang, HC. (1999). A Molecular Theory for Dynamic Contact Angles. In: Durban, D., Pearson, J.R.A. (eds) IUTAM Symposium on Non-linear Singularities in Deformation and Flow. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4736-1_28
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DOI: https://doi.org/10.1007/978-94-011-4736-1_28
Publisher Name: Springer, Dordrecht
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