Non-steady-state temperature field of the vapor-gas mixture in the vicinity of a growing droplet

Balance of the heat of phase transition

A. P. Grinin, I. A. Zhuvikina, Gennady Gor

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The non-steady-state temperature field of the vapor-gas medium in the vicinity of a droplet growing in supersaturated vapor is constructed. In the conduction problem, a time-dependent boundary condition is used which ensures the fulfillment of the balance condition of the heat of phase transition. The resultant temperature field is compared with the one obtained in the heat conduction problem with the equilibrium boundary condition on the surface of a droplet of a fixed radius. Although the solution with the equilibrium boundary condition does not ensure the balance between the heat released on the growing droplet and the heat distributed due to heat conduction in the vapor-gas medium, the difference between the two solutions is not very large. This difference is important for describing the homogeneous nucleation of supersaturated vapor in the vicinity of a growing droplet, as is indicated by comparison of the vapor supersaturation fields constructed with and without allowance for thermal effects, as well as with the use of solutions to the diffusion and heat conduction problems with various boundary conditions.

Original languageEnglish (US)
Pages (from-to)295-303
Number of pages9
JournalColloid Journal
Volume67
Issue number3
DOIs
StatePublished - May 1 2005
Externally publishedYes

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Gas mixtures
gas mixtures
Temperature distribution
temperature distribution
Phase transitions
Vapors
vapors
heat
Heat conduction
Boundary conditions
conductive heat transfer
boundary conditions
Gases
conduction
Supersaturation
allowances
supersaturation
gases
Thermal effects
temperature effects

All Science Journal Classification (ASJC) codes

  • Colloid and Surface Chemistry
  • Physical and Theoretical Chemistry

Cite this

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abstract = "The non-steady-state temperature field of the vapor-gas medium in the vicinity of a droplet growing in supersaturated vapor is constructed. In the conduction problem, a time-dependent boundary condition is used which ensures the fulfillment of the balance condition of the heat of phase transition. The resultant temperature field is compared with the one obtained in the heat conduction problem with the equilibrium boundary condition on the surface of a droplet of a fixed radius. Although the solution with the equilibrium boundary condition does not ensure the balance between the heat released on the growing droplet and the heat distributed due to heat conduction in the vapor-gas medium, the difference between the two solutions is not very large. This difference is important for describing the homogeneous nucleation of supersaturated vapor in the vicinity of a growing droplet, as is indicated by comparison of the vapor supersaturation fields constructed with and without allowance for thermal effects, as well as with the use of solutions to the diffusion and heat conduction problems with various boundary conditions.",
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Non-steady-state temperature field of the vapor-gas mixture in the vicinity of a growing droplet : Balance of the heat of phase transition. / Grinin, A. P.; Zhuvikina, I. A.; Gor, Gennady.

In: Colloid Journal, Vol. 67, No. 3, 01.05.2005, p. 295-303.

Research output: Contribution to journalArticle

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