DESCRIPTION OF THE FLOWS OF TWO-PHASE
MIXTURES WITH PHASE TRANSITIONS IN CAPILLARIES
BY THE DENSITY-FUNCTIONAL METHOD

O. Yu. Dinariev and N. V. Evseev

UDC 532.546

The problem of mathematical modeling of flows of multicomponent 
mixtures with phase transitions has been considered. The free energy 
of a mixture is given as a functional containing squared density gradients 
of the components. This permits continuous description of multiphase 
mixtures without discontinuities at the interfaces. Numerical solutions 
for the flows of two-phase mixtures in capillaries with different 
wall wettability conditions have been obtained.

O. Yu. Schmidt Joint Institute of Earth Physics, Russian 
Academy of Sciences, 10 B. Gruzinskaya Str., Moscow, 123810, 
Russia; email: dinariev@mail.ru. Translated from Inzhenerno-
Fizicheskii Zhurnal, Vol. 78, No. 3, pp. 61-67, May-June, 
2005. Original article submitted June 14, 2004.