Analytical methods to calculate condensation rates of a multicomponent droplet

Kari Lehtinen (Corresponding Author), Markku Kulmala, Timo Vesala, Jorma Jokiniemi

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

The multicomponent condensational growth and/or evaporation of a droplet in the continuum and transition regimes are considered.
Analytical expressions are derived for the mass fluxes by eliminating the particle surface temperature from the quasi-steady-state multicomponent mass and heat transfer equations. This requires approximating the temperature dependence of the saturation vapor pressures and the coupling of the mass fluxes by series expansion.
The approximation errors involved in deriving the equations are studied by comparing the methods to each other and to previously published models. The growth of a droplet composed of five alcohols forming an ideal mixture is predicted.
The importance of the accurate method to calculate the droplet temperature is revealed.
The derived analytical model for condensation/evaporation fluxes is convenient to use in a numerical general dynamic equation solution routine, where nucleation, condensation, coagulation, deposition and gas-phase chemistry have to be solved simultaneously, and obviously not very much computing time can be consumed in any of the subprocesses.
Original languageEnglish
Pages (from-to)1035-1044
JournalJournal of Aerosol Science
Volume29
Issue number9
DOIs
Publication statusPublished - 1998
MoE publication typeA1 Journal article-refereed

Fingerprint

droplet
condensation
Condensation
analytical method
Mass transfer
Evaporation
evaporation
Coagulation
Vapor pressure
vapor pressure
coagulation
Temperature
nucleation
heat transfer
alcohol
mass transfer
Analytical models
Alcohols
surface temperature
Nucleation

Cite this

Lehtinen, Kari ; Kulmala, Markku ; Vesala, Timo ; Jokiniemi, Jorma. / Analytical methods to calculate condensation rates of a multicomponent droplet. In: Journal of Aerosol Science. 1998 ; Vol. 29, No. 9. pp. 1035-1044.
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Analytical methods to calculate condensation rates of a multicomponent droplet. / Lehtinen, Kari (Corresponding Author); Kulmala, Markku; Vesala, Timo; Jokiniemi, Jorma.

In: Journal of Aerosol Science, Vol. 29, No. 9, 1998, p. 1035-1044.

Research output: Contribution to journalArticleScientificpeer-review

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T1 - Analytical methods to calculate condensation rates of a multicomponent droplet

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AU - Vesala, Timo

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PY - 1998

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N2 - The multicomponent condensational growth and/or evaporation of a droplet in the continuum and transition regimes are considered. Analytical expressions are derived for the mass fluxes by eliminating the particle surface temperature from the quasi-steady-state multicomponent mass and heat transfer equations. This requires approximating the temperature dependence of the saturation vapor pressures and the coupling of the mass fluxes by series expansion. The approximation errors involved in deriving the equations are studied by comparing the methods to each other and to previously published models. The growth of a droplet composed of five alcohols forming an ideal mixture is predicted. The importance of the accurate method to calculate the droplet temperature is revealed. The derived analytical model for condensation/evaporation fluxes is convenient to use in a numerical general dynamic equation solution routine, where nucleation, condensation, coagulation, deposition and gas-phase chemistry have to be solved simultaneously, and obviously not very much computing time can be consumed in any of the subprocesses.

AB - The multicomponent condensational growth and/or evaporation of a droplet in the continuum and transition regimes are considered. Analytical expressions are derived for the mass fluxes by eliminating the particle surface temperature from the quasi-steady-state multicomponent mass and heat transfer equations. This requires approximating the temperature dependence of the saturation vapor pressures and the coupling of the mass fluxes by series expansion. The approximation errors involved in deriving the equations are studied by comparing the methods to each other and to previously published models. The growth of a droplet composed of five alcohols forming an ideal mixture is predicted. The importance of the accurate method to calculate the droplet temperature is revealed. The derived analytical model for condensation/evaporation fluxes is convenient to use in a numerical general dynamic equation solution routine, where nucleation, condensation, coagulation, deposition and gas-phase chemistry have to be solved simultaneously, and obviously not very much computing time can be consumed in any of the subprocesses.

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