2009
DOI: 10.1063/1.3211248
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On the breakup of fluid rivulets

Abstract: We study the stability of rivulets on horizontal substrates. The implemented model includes the effects of capillarity, fluid-solid interaction, and gravity if appropriate, within the framework of the lubrication approximation. We find that the results compare favorably with those in literature, in the regime where previous analyses are valid. By isolating the effect of van der Waals interactions for nanoscale rivulets, and of gravity for macrosize rivulets, we are able to analyze the influence of these forces… Show more

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Cited by 69 publications
(111 citation statements)
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“…Davis 70 first evaluated the stability of an infinite liquid rivulet, and showed that the printed lines can break into separate drops under various surface conditions. Similar approach was adopted by Kondic et al 71 to evaluate the stability of liquid rivulets with finite length. The hydrodynamic instability of an inkjet-printed rivulet was further examined experimentally by Schiaffino and Sonin.…”
Section: Printing Procedures Issuesmentioning
confidence: 99%
“…Davis 70 first evaluated the stability of an infinite liquid rivulet, and showed that the printed lines can break into separate drops under various surface conditions. Similar approach was adopted by Kondic et al 71 to evaluate the stability of liquid rivulets with finite length. The hydrodynamic instability of an inkjet-printed rivulet was further examined experimentally by Schiaffino and Sonin.…”
Section: Printing Procedures Issuesmentioning
confidence: 99%
“…Figures 12 and 13 illustrate that the rivulet is again thick at the top of the cylinder with both β and h m becoming infinite according to (31) in the limit α → 0 + , and they are again finite in the middle of the cylinder, satisfying (34) in the limit α → π/2. However, in this case the rivulet becomes thick with zero contact angle and finite semi-width π near the bottom of the cylinder according to (17) in the limit α → π − .…”
Section: A Wide Rivulet Withā > πmentioning
confidence: 99%
“…LW approach is known to capture many morphological aspects of instability development. 27 In particular, a useful insight is reached by considering the linear stability analysis (LSA), which is appropriate for the initial stages of instability development. This approach predicts a fastest growing surface mode (λ m ) where the growth rate spectrum for all possible modes (referred to as the dispersion curve) exhibits a broad distribution.…”
mentioning
confidence: 99%