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Thermally-driven coalescence in thin liquid film flowing down a fibre

Published online by Cambridge University Press:  06 April 2021

Hangjie Ji Open the ORCID record for Hangjie Ji [Opens in a new window] ,
Claudia Falcon Open the ORCID record for Claudia Falcon [Opens in a new window] ,
Erfan Sedighi Open the ORCID record for Erfan Sedighi [Opens in a new window] ,
Abolfazl Sadeghpour Open the ORCID record for Abolfazl Sadeghpour [Opens in a new window] ,
Y. Sungtaek Ju Open the ORCID record for Y. Sungtaek Ju [Opens in a new window]  and
Andrea L. Bertozzi Open the ORCID record for Andrea L. Bertozzi [Opens in a new window]
Hangjie Ji*
Affiliation:
Department of Mathematics, University of California Los Angeles, Los Angeles, CA 90095, USA
Claudia Falcon
Affiliation:
Department of Mathematics, University of California Los Angeles, Los Angeles, CA 90095, USA
Erfan Sedighi
Affiliation:
Mechanical and Aerospace Engineering Department, University of California Los Angeles, Los Angeles, CA 90095, USA
Abolfazl Sadeghpour
Affiliation:
Mechanical and Aerospace Engineering Department, University of California Los Angeles, Los Angeles, CA 90095, USA
Y. Sungtaek Ju
Affiliation:
Mechanical and Aerospace Engineering Department, University of California Los Angeles, Los Angeles, CA 90095, USA
Andrea 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
*
†Email address for correspondence: hangjie@math.ucla.edu
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Abstract

This paper presents a study on the dynamics of a thin liquid film flowing down a vertical cylindrical fibre under a streamwise thermal gradient. Previous works on isothermal flows have shown that the inlet flow and fibre geometry are the main factors that determine a transition from the absolute to the convective instability flow regimes. Our experiments demonstrate that an irregular wavy pattern and bead coalescence, which are commonly seen in the convective regime, can also be triggered by applying a thermal gradient along the fibre. We develop a lubrication model that accounts for gravity, temperature-dependent viscosity and surface tension to describe the thermal effects on downstream bead dynamics. Numerical simulations of the model show good agreement between the predicted droplet coalescence dynamics and the experimental data.

JFM classification

Low-Reynolds-number flows: Lubrication theory Interfacial Flows (free surface): Thin films

Information

Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 916 , 10 June 2021 , A19
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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