The problem of phase transition is one of the key problems in modern s
cience and technology. Evaporation of liquids and condensed gases in a
multi-component atmosphere usually takes place under non-equilibrium
conditions in the presence of heat fluxes. Phase equilibrium and trans
itions in the absence of heat fluxes are investigated thoroughly nowad
ays. The existing Hertz-Knudsen and Clausius-Clapeyron models describe
phase coexisting curve and non-equilibrium states (deviations from th
is curve) in the absence of heat fluxes. The present paper deals with
investigations of non-equilibrium phase transitions in the presence of
heat, mass and momentum fluxes through the phase interface. The model
is based on mass, momentum and energy fluxes conservation equations o
n phase interface. The problem of unsteady state evaporation of conden
sed gas in multicomponent atmosphere is solved under the assumption th
at parameters of the interface are located within phase coexisting hyp
erspace in the phase space of parameters. A selfsimilar solution of th
e unsteady problem is obtained providing the possibility to follow tem
perature and concentration of species profiles' evolution in time. The
mass rate of evaporation as a function of time is determined. For val
idation of the mathematical model, experiments on unsteady evaporation
of liquefied oxygen were carried out. The dynamics of temperature, de
nsity and concentration profiles near the phase interface were investi
gated experimentally. Comparisons show good qualitative and quantitati
ve agreement of theoretical and experimental results. A unique approac
h is worked out to solve problems of non-equilibrium phase transitions
in the presence of heat fluxes. (C) 1997 Elsevier Science Ltd.