Temperature Dependence of a Kelvin Model for Binary Nucleation

Abstract

The temperature dependence of binary nucleation rates was studied using several different models for the cluster evaporation rates. The evaporation rates were found using the detailed balance relations in combination with three different models for the constrained equilibrium cluster concentrations: the classical Reiss model, the self-consistent classical model of Wilemski and Wyslouzil, and the new Kelvin model. The latter two models are modifications of the classical liquid droplet expression for the equilibrium cluster concentrations. The steady state binary kinetics equations were numerically solved using the technique of matrix inversion by patitioning. Numerous test calculations were made for the ideal ethanol-hexanol system. We found that the Kelvin model gave the most realistic temperature dependence of the three models examined. An analytical rate expression that accurately reproduces the numerical results is also presented.

Department(s)

Physics

Keywords and Phrases

Binary nucleation; Binary mixtures; Ethanol; Evaporation; Mathematical models; Rate constants; Thermal effects; Nucleation

International Standard Serial Number (ISSN)

1089-5647

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2001 American Chemical Society (ACS), All rights reserved.

Publication Date

01 Nov 2001

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