Slip, immiscibility and boundary conditions at the liquid-liquid interface

Details Slip, immiscibility and boundary conditions at the liquid-liquid interface Slip, immiscibility and boundary conditions at the liquid-liquid interface

2005-08-25

arxiv.org/abs/cond-mat/0508612v2

Physics

Condensed Matter

Soft Condensed Matter

Improved discussion of related work; to appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.96.044505

The conventional boundary conditions at the interface between two flowing liquids include continuity of the tangential velocity. We have tested this assumption with molecular dynamics simulations of Couette and Poiseuille flows of two-layered liquid systems, with various molecular structures and interactions. When the total liquid density near the interface drops significantly compared to the bulk values, the tangential velocity varies very rapidly there, and would appear discontinuous at continuum resolution. The value of this apparent slip is given by a Navier boundary condition.

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