Slip length for a viscous flow over spiky surfaces
Fluid Dynamics
2023-10-18 v2
Abstract
For a model of a 3D coating composed of a bi-periodic system of parallel riblets with gaps we analytically derive an approximate formula for the effective slip length (an offset from the flat surface at which the flow velocity would extrapolate to zero) as a function of the geometry of the system (riblet period, riblet height, and relative gap size). This formula is valid for an arbitrary fraction of gaps (i.e from narrow riblets to narrow gaps) and agrees with the known analytical results for the 2D periodic coating of riblets without gaps. We validate our analytical results with the numerical solution of the equations of the viscous (creeping) flow over the riblets with gaps.
Keywords
Cite
@article{arxiv.2302.07518,
title = {Slip length for a viscous flow over spiky surfaces},
author = {Alexei T. Skvortsov and Denis S. Grebenkov and Leon Chan and Andrew Ooi},
journal= {arXiv preprint arXiv:2302.07518},
year = {2023}
}