  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 modeling 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.
