Effective longitudinal slip over grooves encapsulated by a nearly inviscid lubricant
Fluid Dynamics
2026-01-29 v1
Abstract
We calculate the effective slip length for a rectangularly grooved periodic surface encapsulated (i.e., fully wetted) by a lubricant fluid and subjected to exterior shear flow parallel to the grooves. Our focus is the limit of a nearly-inviscid lubricant, where the ratio of the lubricant viscosity to that of the exterior fluid is small. This limit is singular for an encapsulated surface, indicating a dominant lubricant-flow effect - a stark contrast to superhydrophobic surfaces where the role of the lubricant is typically negligible.
Cite
@article{arxiv.2601.20581,
title = {Effective longitudinal slip over grooves encapsulated by a nearly inviscid lubricant},
author = {Ory Schnitzer and Ehud Yariv},
journal= {arXiv preprint arXiv:2601.20581},
year = {2026}
}