Dynamics of thin liquid films on vertical cylindrical fibres

Recent experiments on thin films flowing down a vertical fibre with varying nozzle diameters present a wealth of new dynamics that illustrate the need for more advanced theory. We present a detailed analysis using a full lubrication model that includes slip boundary conditions, nonlinear curvature t...

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Bibliographic Details
Published in:Journal of fluid mechanics 2019-04, Vol.865, p.303-327
Main Authors: Ji, H., Falcon, C., Sadeghpour, A., Zeng, Z., Ju, Y. S., Bertozzi, A. L.
Format: Article
Language:English
Subjects:
Boundary conditions
Curvature
Droplets
Dynamics
Fibers
JFM Papers
Lubrication
Nozzles
Reynolds number
Stability
Stability analysis
Studies
Thin films
Traveling waves
Velocity
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Summary:Recent experiments on thin films flowing down a vertical fibre with varying nozzle diameters present a wealth of new dynamics that illustrate the need for more advanced theory. We present a detailed analysis using a full lubrication model that includes slip boundary conditions, nonlinear curvature terms and a film stabilization term. This study brings to focus the presence of a stable liquid layer playing an important role in the full dynamics. We propose a combination of these physical effects to explain the observed velocity and stability of travelling droplets in the experiments and their transition to isolated droplets. This is also supported by stability analysis of the travelling wave solution of the model.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2019.33