Molecular scale contact line hydrodynamics of immiscible flows

Details Molecular scale contact line hydrodynamics of immiscible flows Molecular scale contact line hydrodynamics of immiscible flows

2002-10-24

arxiv.org/abs/cond-mat/0210534v2

Physical Review E 68, 016306 (2003)

Physics

Condensed Matter

Soft Condensed Matter

33 pages for text in preprint format, 10 pages for 10 figures with captions, content changed in this resubmission

Scientific paper

10.1103/PhysRevE.68.016306

From extensive molecular dynamics simulations on immiscible two-phase flows, we find the relative slipping between the fluids and the solid wall everywhere to follow the generalized Navier boundary condition, in which the amount of slipping is proportional to the sum of tangential viscous stress and the uncompensated Young stress. The latter arises from the deviation of the fluid-fluid interface from its static configuration. We give a continuum formulation of the immiscible flow hydrodynamics, comprising the generalized Navier boundary condition, the Navier-Stokes equation, and the Cahn-Hilliard interfacial free energy. Our hydrodynamic model yields interfacial and velocity profiles matching those from the molecular dynamics simulations at the molecular-scale vicinity of the contact line. In particular, the behavior at high capillary numbers, leading to the breakup of the fluid-fluid interface, is accurately predicted.

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