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Dynamics of thin liquid films on vertical cylindrical fibres

Published online by Cambridge University Press:  19 February 2019

H. Ji
Affiliation:
Department of Mathematics, University of California Los Angeles, Los Angeles, CA 90095, USA
C. Falcon
Affiliation:
Department of Mathematics, University of California Los Angeles, Los Angeles, CA 90095, USA
A. Sadeghpour
Affiliation:
Mechanical and Aerospace Engineering Department, University of California Los Angeles, Los Angeles, CA 90095, USA
Z. Zeng
Affiliation:
Mechanical and Aerospace Engineering Department, University of California Los Angeles, Los Angeles, CA 90095, USA
Y. S. Ju
Affiliation:
Mechanical and Aerospace Engineering Department, University of California Los Angeles, Los Angeles, CA 90095, USA
A. L. Bertozzi
Affiliation:
Department of Mathematics, University of California Los Angeles, Los Angeles, CA 90095, USA Mechanical and Aerospace Engineering Department, University of California Los Angeles, Los Angeles, CA 90095, USA
Corresponding
E-mail address:

Abstract

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.

Type
JFM Papers
Copyright
© 2019 Cambridge University Press 

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