Effective slip length of confined fluid with wavy fluid-solid interfaces

TL;DR

This paper derives an analytical formula linking the effective slip length of confined fluids to nano-structured interfaces and validates it using finite element simulations for wavy interfaces.

Contribution

It introduces a new analytical formula for effective slip length based on nano-structure geometry and verifies it with numerical simulations.

Findings

The formula accurately predicts slip length for wavy interfaces.

Finite element results confirm the validity of the analytical model.

The study enhances understanding of fluid flow at nano-structured interfaces.

Abstract

We have studied the effective slip length of confined fluid with nano-structured fluid-solid interfaces. A formula bridging the effective slip length and nano structures of the interfaces has been obtained analytically. For the application of the formula, a confined fluid with wavy fluid-solid interfaces has been studied as an example. In the study, the criteria of the formula have been detailed, and verified by the finite element method.