Interfacial Balance Equations for Diffusion Evaporation and Exact Solution for Weightless Drop

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 V. V. Kuznetsov · M. V. Bartashevich (B) Lavrentyev Institute of Hydrodynamics, Russian Academy of Sciences, prosp. Lavrentyev 15, Novosibirsk, 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).

Droplets Evaporation on Heated Wall

“…Various modes of evaporation in a wide range of droplet sizes and wall temperatures have been investigated in the present work. The process of evaporation and boiling crisis were studied in [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. The fine droplets evaporation of liquid nitrogen during explosive of nitrogen-water mixture is presented in [16][17].…”