A unified slip boundary condition for flow over a surface

TL;DR

This paper introduces a unified slip boundary condition that better captures the physics of flow over surfaces, addressing limitations of traditional slip models in complex scenarios.

Contribution

A novel boundary condition is proposed that unifies existing slip models, improving the accuracy of flow predictions over surfaces in diverse problems.

Findings

Unified boundary condition applicable to various flow problems

Addresses limitations of no-slip, Navier, and Maxwell slip conditions

Enhances understanding of flow physics at interfaces

Abstract

Interface between two phases of matter are ubiquitous in nature and technology. Determining the correct velocity condition at an interface is essential for understanding and designing of flows over a surface. We demonstrate that both the widely used no-slip and the Navier and Maxwell slip boundary conditions do not capture the complete physics associated with complex problems, such as spreading of liquids or corner flows. Hence, we present a unified boundary condition that is applicable to a wide-range of flow problems.