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Simulations of the breakup of liquid filaments on a partially wetting solid substrate
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View: Figures


Image of FIG. 1.
FIG. 1.

A schematic of the computational domain. Symmetry in the and directions is exploited to reduce the computational cost.

Image of FIG. 2.
FIG. 2.

Capillary wave growth: snapshots at times = 0, 300, 400, and 600, with Λ = 8.9 and .

Image of FIG. 3.
FIG. 3.

Growth of the amplitude of the perturbation in time. Λ = 8.9 and .

Image of FIG. 4.
FIG. 4.

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 (Y-H) and Brochard-Wyart and Redon (B-W) are also plotted for comparison, the latter having an indeterminate prefactor that is fitted to our curve.

Image of FIG. 5.
FIG. 5.

The fastest growing mode for different values of the contact angle θ: comparison between our simulation and prior theoretical predictions.

Image of FIG. 6.
FIG. 6.

(a) Center-to-center distance between primary drops and (b) volume of secondary drops as functions of θ for the fastest mode. is normalized by the volume of the primary drops.

Image of FIG. 7.
FIG. 7.

End-pinching generating two primary droplets. Note that only a quarter of the filament is shown for symmetry. The snapshots are at times = 0, 285, 585, 885, 1185, and 1785. θ = 1, ζ = 34, β = 10.

Image of FIG. 8.
FIG. 8.

The critical length of the filament for breakup as a function of the contact angle θ and viscosity ratio β.

Image of FIG. 9.
FIG. 9.

End-pinching leads to three primary droplets for , ζ = 32, β = 10. The snapshots are at time = 0, 50, 100, 150, 200, and 300.

Image of FIG. 10.
FIG. 10.

The spacing between the two daughter drops decreases with increasing θ. β = 10 and ζ is at the critical ζ for each θ value.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Simulations of the breakup of liquid filaments on a partially wetting solid substrate