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Contact lines with a contact angle

Journal of Fluid Mechanics, 2013
AbstractThis work builds on the foundation laid by Benney & Timson (Stud. Appl. Maths, vol. 63, 1980, pp. 93–98), who examined the flow near a contact line and showed that, if the contact angle is $18{0}^{\circ } $, the usual contact-line singularity does not arise.
E. S. Benilov, M. Vynnycky
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Contact Angle and Local Wetting at Contact Line

Langmuir, 2012
This theoretical study was motivated by recent experiments and theoretical work that had suggested the dependence of the static contact angle on the local wetting at the triple-phase contact line. We revisit this topic because the static contact angle as a local wetting parameter is still not widely understood and clearly known.
Ri, Li, Yanguang, Shan
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On Elastic Line Contact

Journal of Applied Mechanics, 1972
Two-dimensional elastic half-space contact theory suffers from the defect that the surface displacement with respect to infinity becomes infinitely large when the total force carried by the half space is different from zero. Several authors removed this defect by altering the geometry so that the depth of the elastic body becomes finite. In the present
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Contact Line and Contact Angle Dynamics in Superhydrophobic Channels

Langmuir, 2006
The dynamics of the wetting and movement of a three-phase contact line confined between two superhydrophobic surfaces were studied using a mean-field free-energy lattice Boltzmann model. Principle features of superhydrophobic surfaces, such as trapped vapor/air between rough microstructures, high contact angles, reduced contact angle hysteresis, and ...
Junfeng, Zhang, Daniel Y, Kwok
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Calculation of Stribeck curves for line contacts

Tribology International, 2000
A mixed lubrication model is presented by which Stribeck curves can be calculated. By means of the Stribeck curve the transitions from boundary lubrication to mixed lubrication and the transitions from mixed lubrication to elasto hydrodynamic lubrication can be predicted and subsequently the lubrication regime in which a particular contact operates can
Gelinck, E.R.M., Schipper, D.J.
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Stribeck Curve for Starved Line Contacts

Journal of Tribology, 2006
This paper discusses a mixed lubrication model in order to predict the Stribeck curve for starved lubricated line contacts. This model is based on a combination of the contact model of Greenwood and Williamson and the elastohydrodynamic (EHL) film thickness for starved line contacts.
Faraon, I.C., Schipper, Dirk J.
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Motion of a contact line

The Physics of Fluids, 1982
A multiscale expansion approach is applied to the solution of the free-boundary Stokes’ problem describing flow in the vicinity of a moving contact line. A solution free of singularities is obtained for the case of a liquid advancing into an inviscid medium.
Pismen, L. M., Nir, A.
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Lines on contact manifolds

Journal für die reine und angewandte Mathematik (Crelles Journal), 2001
Complex manifolds \(X\) which carry a complex contact structure, i.e., a non-degenerate subbundle \(F\subset T_X\) of the tangent bundle of corank one, appear naturally as twistor spaces over Riemannian manifolds with quaternionic-Kählerian holonomy group. These manifolds have recently gained considerable interest.
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The elasticity of a contact line

Physica A: Statistical Mechanics and its Applications, 1999
Abstract We calculate the work required to deform a three-phase contact line between two fluid phases and one solid phase using an interface displacement model. This includes the effects of both surface and line tensions. The leading-order dependence on the wavenumber q of the distortion has been described by Joanny and de Gennes (J. Chem.
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Line tension vector thermodynamics of anisotropic contact lines

Physical Review E, 2004
Multiphase materials with intersecting diving surfaces give rise to contact lines. A line tension vector thermodynamics formalism is developed and used to analyze contact line problems in the presence of anisotropy, taking into account two elastic modes: change in contact line length and change in contact line orientation.
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