On the moving contact line singularity

TL;DR

This paper proposes a new hydrodynamical approach to resolve the moving contact line singularity, offering analytical solutions and parameter estimates to address the longstanding issue in fluid dynamics.

Contribution

It introduces a novel idea for resolving the contact line singularity using purely hydrodynamical considerations, supported by analytical solutions and physical parameter estimates.

Findings

Analytical local solution for contact line behavior

Estimates of physical parameters involved

A new conceptual approach to the singularity problem

Abstract

Given that contact line between liquid and solid phases can move regardless how negligibly small are the surface roughness, Navier slip, liquid volatility, impurities, deviations from the Newtonian behavior, and other system-dependent parameters, the problem is treated here from the pure hydrodynamical point of view only. In this note, based on straightforward logical considerations, we would like to offer a new idea of how the moving contact line singularity can be resolved and provide support with estimates of the involved physical parameters as well as with an analytical local solution.