The stage of nucleation of supercritical droplets with thermal effects in the regime of nonstationary diffusion and heat transfer

Kuchma, A. E.; Щекин, А. К.; Markov, M. N.

doi:10.1016/j.colsurfa.2015.04.020

Cited by 11 publications

(2 citation statements)

References 17 publications

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“…By the completion of the nucleation stage, a significant overlapping of diffusion layers of separate droplets begins. As shown by 14 , in the case of vapor condensation markedly below the critical point, when the role of non-stationary diffusion of vapors in the dynamics of droplet growth is small, the influence of overlapping of diffusional shells can be taken into account within the mean-field approximation of vapor supersaturation and temperature. Concentrations of vapors and temperature of the vapor-gas medium are assumed in this approximation to be homogeneous in space.…”

Section: B Stationary Composition and Temperature Of The Dropletmentioning

confidence: 99%

The Stefan outflow in a multicomponent vapor–gas atmosphere around a droplet and its role for cloud expansion

Kuchma

Щекин

Martyukova

2016

Journal of Aerosol Science

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A new comprehensive analysis of Stefan's flow caused by a free growing droplet in vapor-gas atmosphere with several condensing components is presented. This analysis, based on the nonstationary heat and material balance and diffusion transport equations, shows the appearance of the Stefan inflow in the vicinity of the growing droplet and the outflow at large distances from the droplet as a consequence of nonisothermal condensation. For an ensemble of droplets in the atmospheric cloud, this flow provides an increase of the total volume of the cloud, which can be treated as cloud thermal expansion and leads to floating the cloud as a whole due to buoyancy. We have formulated the self-similar solutions of the nonstationary diffusion and heat conduction equations for a growing multicomponent droplet and have derived analytical expressions for the nonstationary velocity profile of Stefan's flow and the expansion volume of the vapor-gas mixture around the growing droplet. To illustrate the approach, we computed these quantities in the case of droplet of stationary composition in air with several specific vapors (C2H5OH/H2O; H2SO4/H2O; H2O).

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Section: B Stationary Composition and Temperature Of The Dropletmentioning

confidence: 99%

The Stefan outflow in a multicomponent vapor–gas atmosphere around a droplet and its role for cloud expansion

Kuchma

Щекин

Martyukova

2016

Journal of Aerosol Science

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“…In modeling binary collision reactions, two common assumptions are invoked: (1) nanoclusters are in thermal equilibrium with their surroundings, and (2) nanoclusters are structureless entities with properties calculable from bulk properties. Though there are notable exceptions, 13,14,15,16,17,18 these assumptions are utilized in classical nucleation theory 19,20,21 and modifications of it, 22,23 and are almost universally invoked in population balance models of nanocluster and nanoparticle growth. 24,25 Combined, such assumptions enable prediction of nanocluster population distribution dynamics based upon knowledge of collision rate coefficients and of the equilibrium coefficients for the elementary reactions considered.…”

Section: Introductionmentioning

confidence: 99%

Excess thermal energy and latent heat in nanocluster collisional growth

Hui

Drossinos

Hogan

2019

The Journal of Chemical Physics

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Nanoclusters can form and grow by nanocluster-monomer (condensation) and nanoclusternanocluster (coagulation) collisions. During growth, product nanoclusters have elevated thermal energies due to potential and thermal energy exchange following a collision. Even though nanocluster collisional heating may be significant and strongly-size dependent, no prior theory describes such phenomenon. We derive a model to describe the excess thermal energy, the kinetic energy increase of the product cluster, and latent heat, the heat released to the background upon thermalization of the non-equilibrium cluster, of collisional growth. Both quantities are composed of an enthalpic term, related to potential energy minimum differences, and a size-dependent entropic term, which hinges upon heat capacity and energy partitioning. Example calculations using gold nanoclusters demonstrate that collisional heating can be important and strongly size dependent, particularly for reactive collisions involving nanoclusters composed of 14-20 atoms. Excessive latent heat release may have considerable implications in cluster formation and growth.

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Dynamics of ensemble of gas bubbles with account of the Laplace pressure on the nucleation stage at degassing in a gas-liqiud mixture

Kuchma

Щекин

Martyukova

et al. 2018

Fluid Phase Equilibria

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The stage of nucleation of supercritical droplets with thermal effects in the regime of nonstationary diffusion and heat transfer

Cited by 11 publications

References 17 publications

The Stefan outflow in a multicomponent vapor–gas atmosphere around a droplet and its role for cloud expansion

The Stefan outflow in a multicomponent vapor–gas atmosphere around a droplet and its role for cloud expansion

Excess thermal energy and latent heat in nanocluster collisional growth

Dynamics of ensemble of gas bubbles with account of the Laplace pressure on the nucleation stage at degassing in a gas-liqiud mixture

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