Abstract
Abstract
Highlights
In the first chapter of the monograph Perspectives in Fluid Dynamics, Batchelor, Moffatt & Worster (2000) selected the research of ‘liquid film flows’ as one of the ten interesting 914 A30-1R
We found that R does not really correspond to the initial mean radius of the liquid film, and the initial radius of the film has a significant influence on the prediction of the wave speed and wave height
This paper has revisited the dynamics of a thick film coating a vertical fibre
Summary
In the first chapter of the monograph Perspectives in Fluid Dynamics, Batchelor, Moffatt & Worster (2000) selected the research of ‘liquid film flows’ as one of the ten interesting. Still unclear is the stabilizing mechanism of the van der Waals attractions, which, typically, play a destabilizing role and can cause the finite-time rupture of the liquid film (Ding et al 2019) Without this stabilizing term, it was claimed by Craster & Matar (2006) and Ruyer-Quil et al (2008) that the nonlinear dynamics of flow regime ‘a’ can be well predicted by long-wave models. We focus on the Navier–Stokes equations of a single liquid phase flow and neglect the dynamics of the air phase, such that the popular numerical methods of two-phase flows are not employed. We revisit the problem of coating flows down a vertical fibre by solving the Navier–Stokes equations without the assumption of long-wave dynamics.
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