Interfacial balance equations for diffusion evaporation and exact solution for weightless drop

Vladimir V. Kuznetsov, Maria V. Bartashevich, Oleg A. Kabov

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Introducing of additional terms into the balance equations to specify the conditions at the interface allows to study physical phenomena in the diffusion evaporation (condensation) of the liquid into the neutral gas. We have taken into account the vapour dynamic effects on evaporating liquid, as well as the waste of energy on deformation of the boundary, changing of the interfacial temperature (the interface has an internal energy and therefore heat capacity), to overcome the surface tension etc. This paper presents the balance conditions at the interface with the diffusion evaporation of the liquid into the neutral gas, for the case when the vapour is considered as an impurity in the gas phase. The analysis of the dimensionless criteria is carried out. The areas of parameters for which the effect of some physical factors take a place have been defined. The exact solution of the diffusion evaporation for a spherical drop at zero gravity conditions has been constructed. The explicit expression for the interfacial temperature and evaporation rate were derived. Solution for evaporation rate coincides with the solution obtained by Maxwell (1890).

Original languageEnglish
Pages (from-to)17-31
Number of pages15
JournalMicrogravity Science and Technology
Volume24
Issue number1
DOIs
Publication statusPublished - 1 Jan 2012

Keywords

  • Drop
  • Evaporation
  • Interfacial heat mass transfer
  • Vapour concentration
  • Weightlessness

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Interfacial balance equations for diffusion evaporation and exact solution for weightless drop'. Together they form a unique fingerprint.

  • Cite this