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Thin liquid films in a funnel

Published online by Cambridge University Press:  11 August 2021

T.-S. Lin Open the ORCID record for T.-S. Lin [Opens in a new window] ,
J.A. Dijksman Open the ORCID record for J.A. Dijksman [Opens in a new window]  and
L. Kondic Open the ORCID record for L. Kondic [Opens in a new window]
T.-S. Lin
Affiliation:
Department of Applied Mathematics, National Yang Ming Chiao Tung University, Hsinchu 30010, Taiwan
J.A. Dijksman
Affiliation:
Physical Chemistry and Soft Matter, Wageningen University & Research, Stippeneng 4, 6708WE Wageningen, The Netherlands
L. Kondic*
Affiliation:
Department of Mathematical Sciences and Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, Newark, NJ 07102, USA
*
†Email address for correspondence: kondic@njit.edu
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Abstract

We explore flow of a completely wetting fluid in a funnel, with particular focus on contact line instabilities at the fluid front. While the flow in a funnel may be related to a number of other flow configurations as limiting cases, understanding its stability is complicated due to the presence of additional azimuthal curvature, as well as due to convergent flow effects imposed by the geometry. The convergent nature of the flow leads to thickening of the film, therefore influencing its stability properties. In this work, we analyse these stability properties by combining physical experiments, asymptotic modelling, self-similar type of analysis and numerical simulations. We show that an appropriate long-wave-based model, supported by the input from experiments, simulations and linear stability analysis that originates from the flow down an incline plane, provides a basic insight allowing an understanding of the development of contact line instability and emerging length scales.

JFM classification

Interfacial Flows (free surface): Contact lines Interfacial Flows (free surface): Fingering instability Interfacial Flows (free surface): Thin films
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 924 , 10 October 2021 , A26
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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