Phase equilibrium of a liquid droplet formed on a solid particle

Mitrovic, Jovan

doi:10.1016/j.ces.2006.05.013

Cited by 9 publications

(3 citation statements)

References 33 publications

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“…The wetting degree m equals the cosine of the contact angle θ, i.e., m¼ cos θ. We neglect the effect of the disjoining pressure (Kuni, Shchekin, Rusanov, & Widom, 1996;Mitrovic, 2006) which is defined as the difference between the pressure of the film and the pressure in the bulk phase, because the surface of solid particle is only partial…”

Section: The Derivation Of the Modified Expressionmentioning

confidence: 99%

A modified expression for the steady-state heterogeneous nucleation rate

Fan

Qin

Luo

et al. 2015

Journal of Aerosol Science

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Section: The Derivation Of the Modified Expressionmentioning

confidence: 99%

A modified expression for the steady-state heterogeneous nucleation rate

Fan

Qin

Luo

et al. 2015

Journal of Aerosol Science

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“…p δ denotes the disjoining pressure, 27,28 which is defined as the difference between the pressure of the film and the pressure in the bulk phase, A 0 is the Hamaker constant, 28 and δ is the film thickness. The surface of solid particle is only partial wetting in our context, and therefore, the liquid phase forms as some separate spherical cap shaped droplets with a finite contact angle on the surface.…”

Section: Kinetic Modelmentioning

confidence: 99%

A kinetic model for heterogeneous condensation of vapor on an insoluble spherical particle

Luo

Fan

Qin

et al. 2014

The Journal of Chemical Physics

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A kinetic model is developed to describe the heterogeneous condensation of vapor on an insoluble spherical particle. This new model considers two mechanisms of cluster growth: direct addition of water molecules from the vapor and surface diffusion of adsorbed water molecules on the particle. The effect of line tension is also included in the model. For the first time, the exact expression of evaporation coefficient is derived for heterogeneous condensation of vapor on an insoluble spherical particle by using the detailed balance. The obtained expression of evaporation coefficient is proved to be also correct in the homogeneous condensation and the heterogeneous condensation on a planar solid surface. The contributions of the two mechanisms to heterogeneous condensation including the effect of line tension are evaluated and analysed. It is found that the cluster growth via surface diffusion of adsorbed water molecules on the particle is more important than the direct addition from the vapor. As an example of our model applications, the growth rate of the cap shaped droplet on the insoluble spherical particle is derived. Our evaluation shows that the growth rate of droplet in heterogeneous condensation is larger than that in homogeneous condensation. These results indicate that an explicit kinetic model is benefit to the study of heterogeneous condensation on an insoluble spherical particle.

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“…They have been comprehensively studied in the past, and the reader is referred to the treatises of Derjaguin et al [2] and Israelachvili [3] as well as references therein. When the liquid film completely covers the wall surface at a thickness larger than the range of molecular interaction, equilibrium state establishes among the phases, e.g., [4].…”

Section: Introductionmentioning

confidence: 99%

A Simple Explicit Equation for the Saturation Temperature of Humid Air

Mitrovic¹

2011

Chem Eng & Technol

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Based on the Clausius-Clapeyron equation and the ideal gas hypothesis for the gas phase, an explicit equation is derived for the saturation temperature of humid air. In order to account for the real gas effects in the vapor phase, the expression is then modified by using the state equation of a pure water two-phase (vaporliquid) system at equilibrium recommended by Wagner and Pruss. Unlike other equations, it does not require knowledge of the relative humidity. The new equation describes the saturation temperature of humid air as a function of humidity ratio x and system pressure p in the following ranges: 0 < x < 0.2; 0.5 bar < p < 16 bar. As a side product, a simple expression for relative humidity is deduced.

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Phase equilibrium of a liquid droplet formed on a solid particle

Cited by 9 publications

References 33 publications

A modified expression for the steady-state heterogeneous nucleation rate

A modified expression for the steady-state heterogeneous nucleation rate

A kinetic model for heterogeneous condensation of vapor on an insoluble spherical particle

A Simple Explicit Equation for the Saturation Temperature of Humid Air

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