Slip, immiscibility and boundary conditions at the liquid-liquid interface
Soft Condensed Matter
2009-11-11 v2
Abstract
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.
Cite
@article{arxiv.cond-mat/0508612,
title = {Slip, immiscibility and boundary conditions at the liquid-liquid interface},
author = {Joel Koplik and Jayanth R. Banavar},
journal= {arXiv preprint arXiv:cond-mat/0508612},
year = {2009}
}
Comments
Improved discussion of related work; to appear in Physical Review Letters