Stable Drop Shapes under Disjoining Pressure

Zhang, Xianzhong; Neogi, Partho; Ybarra, Robert M.

doi:10.1006/jcis.2002.8253

Cited by 17 publications

(15 citation statements)

References 19 publications

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“…Although there are numerous studies on lens-shaped nuclei on flat substrates in the presence of long-ranged disjoining pressure [49][50][51][52] , investigations on lens-shaped nuclei on spherical substrates are scarce, as they have to rely on numerical studies 53 . In addition, we have assumed that the liquid-vapor interface is sharp.…”

Section: Discussionmentioning

confidence: 99%

“…However, most of those studies have focused on the case of complete wetting with the contact angle θ = 0 • for a spherical nucleus surrounding a spherical substrate 44,45,47,48 , rather than a lens-shaped nucleus with a three-phase contact line. Although there are numerous studies on lens-shaped nuclei on flat substrates in the presence of long-ranged disjoining pressure [49][50][51][52] , investigations on lens-shaped nuclei on spherical substrates are scarce, as they have to rely on numerical studies 53 . In addition, we have assumed that the liquid-vapor interface is sharp.…”

Section: Discussionmentioning

confidence: 99%

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Line-tension-induced scenario of heterogeneous nucleation on a spherical substrate and in a spherical cavity

Iwamatsu

2015

The Journal of Chemical Physics

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Line-tension-induced scenario of heterogeneous nucleation is studied for a lens-shaped nucleus with a finite contact angle nucleated on a spherical substrate and on the bottom of the wall of a spherical cavity. The effect of line tension on the free energy of a critical nucleus can be separated from the usual volume term. By comparing the free energy of a lens-shaped critical nucleus of a finite contact angle with that of a spherical nucleus, we find that a spherical nucleus may have a lower free energy than a lens-shaped nucleus when the line tension is positive and large, which is similar to the drying transition predicted by Widom [B. Widom, J. Phys. Chem. 99 2803(1995]. Then, the homogeneous nucleation rather than the heterogeneous nucleation will be favorable. Similarly, the free energy of a lens-shaped nucleus becomes negative when the line tension is negative and large. Then, the barrier-less nucleation with no thermal activation called athermal nucleation will be realized.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Line-tension-induced scenario of heterogeneous nucleation on a spherical substrate and in a spherical cavity

Iwamatsu

2015

The Journal of Chemical Physics

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“…It is worth mentioning that in pseudo-partial wetting, equilibrium is established between a thin film of liquid different from the bulk structure and a large drop of bulk characteristics at a well-defined contact angle. The shape of the drop is still a somewhat delicate issue [45,46]. If there is a relation between nanobubble stability and thin-film stability, one expects a relation between bubble capillary pressure and the disjoining pressure of the film [47]: high implied capillary pressures may reflect significant disjoining film pressures.…”

Section: Analysis and Discussionmentioning

confidence: 99%

Nanobubbles give evidence of incomplete wetting at a hydrophobic interface

Simonsen

Hansen

Klösgen

2004

Journal of Colloid and Interface Science

212

232

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“…These are obtained as the solutions to the augmented Young-Laplace equation. As seen in Part I (17), it is possible to derive the necessary conditions of equilibrium by insisting that the contact angle region either end in a film of constant thickness or in a microscopic contact angle different from the macroscopic contact angles that are usually determined in the experiments. This method gave rise to constraints that are also the conditions of equilibrium obtained by minimizing the free energy.…”

Section: Introductionmentioning

confidence: 99%