The Kelvin equation—a review

Skinner, Les; Sambles, J. R.

doi:10.1016/0021-8502(72)90158-9

Cited by 153 publications

(69 citation statements)

References 68 publications

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“…A similar approach has been used to describe nucleation phenomena or the solubility of small particles [14][15][16] . Its extension, the Gibbs-Thomson-Herring approach (GTH) takes into account anisotropic interfacial energies between mother and daughter phase 17,18 .…”

Section: Introductionmentioning

confidence: 99%

Morphological Transitions during Melting of Small Cylindrical Aggregates

Jin

Riegler

2016

J. Phys. Chem. C

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Most studies on melting under confinement focus only on the solid and liquid melt phases. Despite of its ubiquity, contributions from the capillary interface (liquid / vapor interface) are often neglected. In this study the melting behavior of small cylindrical aggregates in vapor attached to planar surfaces is analyzed. For the assumed boundary conditions (cylindrical solid with a non wetting top plane and a wettable side wall) solid and the liquid phases can coexist within a certain temperature range. Due to capillary instability, the liquid phase can form either an axisymmetric rouloid morphology or, above a certain threshold liquid volume fraction, a bulge coexisting with a rouloid-like section. The corresponding melting points are different. The analysis explicitly describes the behavior of a real system of small aggregates of long chain alkanes on planar substrates. It also gives qualitative insights into the melting behavior of small aggregates with anisotropic wetting behaviors in general. It reveals in particular how melting points and melting pathways depend on the energetic respectively morphological pathways leading to complete melting.

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Section: Introductionmentioning

confidence: 99%

Morphological Transitions during Melting of Small Cylindrical Aggregates

Jin

Riegler

2016

J. Phys. Chem. C

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“…(1)). In this manner, the Ostwald ripening rate that takes into consideration the regular solution behavior within the two-component disperse phase can be written as (14) Furthermore, the following two limiting cases can be established.…”

Section: Ostwald Ripening Rate In the Two-component Disperse Phase Symentioning

confidence: 99%

“…It is noteworthy that the term 2σ V m1 /a e represents the capillary pressure effect [14] and the term containing is responsible for the intermolecular interactions involved in a regular solution. note that both the droplet size and μ 1 remain unchanged when a i is equal to 1 μm, in which case μ 1 equals to μ 1e throughout the mass transfer process.…”

Section: Article In Pressmentioning

confidence: 99%

Modeling Ostwald ripening rate of styrene miniemulsions stabilized by a homolog of n-alkane costabilizers

Lin

Chern

2015

Journal of the Taiwan Institute of Chemical Engineers

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“…Another possible constitutive law for the equilibrium vapour concentration is Kelvin's equation; this takes into account the variation in vapour pressure due to the curvature of the liquid-gas interface [22]. This approach has been used to model the evaporation of liquid drops in the presence of an ultra-thin precursor film that wets the substrate ahead of the drop [8,23].…”

Section: Introductionmentioning

confidence: 99%

Kinetic effects regularize the mass-flux singularity at the contact line of a thin evaporating drop

et al. 2017

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We consider the transport of vapour caused by the evaporation of a thin, axisymmetric, partially wetting drop into an inert gas. We take kinetic effects into account through a linear constitutive law that states that the mass flux through the drop surface is proportional to the difference between the vapour concentration in equilibrium and that at the interface. Provided that the vapour concentration is finite, our model leads to a finite mass flux in contrast to the contact-line singularity in the mass flux that is observed in more standard models that neglect kinetic effects. We perform a local analysis near the contact line to investigate the way in which kinetic effects regularize the mass-flux singularity at the contact line. An explicit expression is derived for the mass flux through the free surface of the drop. A matched-asymptotic analysis is used to further investigate the regularization of the mass-flux singularity in the physically relevant regime in which the kinetic timescale is much smaller than the diffusive one. We find that the effect of kinetics is limited to an inner region near the contact line, in which kinetic effects enter at leading order and regularize the mass-flux singularity. The inner problem is solved explicitly using the Wiener-Hopf method and a uniformly valid composite expansion is derived for the mass flux in this asymptotic limit.

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The Kelvin equation—a review

Cited by 153 publications

References 68 publications

Morphological Transitions during Melting of Small Cylindrical Aggregates

Morphological Transitions during Melting of Small Cylindrical Aggregates

Modeling Ostwald ripening rate of styrene miniemulsions stabilized by a homolog of n-alkane costabilizers

Kinetic effects regularize the mass-flux singularity at the contact line of a thin evaporating drop

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