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Modelling film flows down a fibre influenced by nozzle geometry

Published online by Cambridge University Press:  28 August 2020

H. Ji Open the ORCID record for H. Ji [Opens in a new window] ,
A. Sadeghpour ,
Y. S. Ju Open the ORCID record for Y. S. Ju [Opens in a new window]  and
A. L. Bertozzi Open the ORCID record for A. L. Bertozzi [Opens in a new window]
H. Ji*
Affiliation:
Department of Mathematics, University of California, Los Angeles, Los Angeles, CA90095, USA
A. Sadeghpour
Affiliation:
Mechanical and Aerospace Engineering Department, University of California, Los Angeles, Los Angeles, CA90095, USA
Y. S. Ju
Affiliation:
Mechanical and Aerospace Engineering Department, University of California, Los Angeles, Los Angeles, CA90095, USA
A. L. Bertozzi
Affiliation:
Department of Mathematics, University of California, Los Angeles, Los Angeles, CA90095, USA Mechanical and Aerospace Engineering Department, University of California, Los Angeles, Los Angeles, CA90095, USA
*
†Email address for correspondence: hangjie@math.ucla.edu
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Abstract

We study the effects of nozzle geometry on the dynamics of thin fluid films flowing down a vertical cylindrical fibre. Recent experiments show that varying the nozzle diameter can lead to different flow regimes and droplet characteristics in the film. Using a weighted residual modelling approach, we develop a system of coupled equations that account for inertia, surface tension effects, gravity and a film stabilization mechanism to describe both near-nozzle fluid structures and downstream bead dynamics. We report good agreement between the predicted droplet properties and the experimental data.

JFM classification

Low-Reynolds-number flows: Lubrication theory Interfacial Flows (free surface): Thin films
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 901 , 25 October 2020 , R6
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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References

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