2003
DOI: 10.1063/1.1616557
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Stability diagrams for disconnected capillary surfaces

Abstract: Disconnected free surfaces ͑or interfaces͒ of a connected liquid volume ͑or liquid volumes͒ occur when the boundary of the liquid volume consists of two or more separate surface components ⌫ i (iϭ1,...,m) that correspond to liquid-gas ͑or liquid-liquid͒ interfaces. We consider disconnected surfaces for which each component ⌫ i is axisymmetric and crosses its own symmetry axis. In most cases, the stability problem for an entire disconnected equilibrium capillary surface subject to perturbations that conserve th… Show more

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Cited by 15 publications
(34 citation statements)
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References 24 publications
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“…The line only intersects with the solution curves with and there is only one intersection point for each of the solution curves. In the region , the contour line intersects with the abscissa at which satisfies the relation (Slobozhanin & Alexander 2003) We can see that as . In the region , the contour lines will intersect with all solution curves, and there is only one intersection point for each of the solution curves.…”
Section: Stability Analysismentioning
confidence: 92%
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“…The line only intersects with the solution curves with and there is only one intersection point for each of the solution curves. In the region , the contour line intersects with the abscissa at which satisfies the relation (Slobozhanin & Alexander 2003) We can see that as . In the region , the contour lines will intersect with all solution curves, and there is only one intersection point for each of the solution curves.…”
Section: Stability Analysismentioning
confidence: 92%
“…Stability to pressure disturbances for axisymmetric menisci: ( a ) the solution curves fixed at the origin for (see also figure 3 in Slobozhanin & Alexander (2003)) and ( b , c ) the solution curves with located at the water line for ( b ) and ( c ) . Panel ( b ) is essentially the same as panel ( a ) except for the different choices of the ordinates.…”
Section: Stability Analysismentioning
confidence: 99%
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“…This motivates our focus on contact-line imperfections. Both imperfections have been studied previously in the context of single bridges, 22 coupled droplets, 6,15 and contact-line distortion from circular for coupled droplets. 6 The interfaces cannot be perfectly pinned because the end rings have finite thickness and, therefore, achieving perfectly indistinguishable states ͓for example, ͑c − ͒ and ͑c + ͒ in Fig.…”
Section: Contact-line Imperfectionsmentioning
confidence: 97%
“…12 Another approach, based on work by Orel, 14 is employed by Slobozhanin and Alexander. 15 They use an eigenvalue problem to characterize system stability. The resulting criteria, for disturbances that preserve total system volume, can be paraphrased: ͑A͒ if all individual components are stable to fixed-pressure disturbances, the system is stable; ͑B͒ if at least two components are unstable to fixed-pressure disturbances, the system is unstable; ͑C͒ if at least one component is unstable to fixedvolume disturbances, the system is unstable.…”
Section: ͑1͒mentioning
confidence: 99%