A schematic of the computational domain. Symmetry in the x and y directions is exploited to reduce the computational cost.
Capillary wave growth: snapshots at times t = 0, 300, 400, and 600, with Λ = 8.9 and .
Growth of the amplitude of the perturbation in time. Λ = 8.9 and .
Dispersion relation for the capillary waves on the surface of a liquid filament for different values of the contact angle θ. The theoretical results of Yang and Homsy 4 (Y-H) and Brochard-Wyart and Redon 3 (B-W) are also plotted for comparison, the latter having an indeterminate prefactor that is fitted to our curve.
The fastest growing mode for different values of the contact angle θ: comparison between our simulation and prior theoretical predictions.
(a) Center-to-center distance d between primary drops and (b) volume V s of secondary drops as functions of θ for the fastest mode. V s is normalized by the volume of the primary drops.
End-pinching generating two primary droplets. Note that only a quarter of the filament is shown for symmetry. The snapshots are at times t = 0, 285, 585, 885, 1185, and 1785. θ = 1, ζ = 34, β = 10.
The critical length of the filament for breakup as a function of the contact angle θ and viscosity ratio β.
End-pinching leads to three primary droplets for , ζ = 32, β = 10. The snapshots are at time t = 0, 50, 100, 150, 200, and 300.
The spacing between the two daughter drops decreases with increasing θ. β = 10 and ζ is at the critical ζ c for each θ value.
Article metrics loading...
Full text loading...