Journal
PHYSICS OF FLUIDS
Volume 30, Issue 9, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.5039558
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- University of Sydney (Australia)
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Fingering of an inviscid liquid droplet upon impact on a super-hydrophobic surface is revisited. Generation of coronal fingers is investigated here using a transverse rim instability analysis based on the toroidal curvature of rim, instead of the linear front assumption in the classical Rayleigh-Plateau (R-P) model. The governing equations are formulated from the first principles and solved numerically. For a droplet with a known volume and impact velocity, the model predicts the number of spires upon impact, k. Here k is found to be the largest wave number with a positive growth rate on the droplet rim and is shown to be in the order of (Weber)(3/5). The theoretical model is consistent with our water droplet experiments for 60 < We < 160, superseding the R-P prediction. Published by AIP Publishing.
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