4.7 Article

Modelling film flows down a fibre influenced by nozzle geometry

Journal

JOURNAL OF FLUID MECHANICS
Volume 901, Issue -, Pages -

Publisher

CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2020.605

Keywords

lubrication theory; thin films

Funding

  1. Simons Foundation Math+X investigator award [510776]
  2. National Science Foundation [CBET-1358034]

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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.

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