APPLICATION OF DENSITY-FUNCTIONAL THEORY
TO CALCULATION OF FLOWS OF THREE-PHASE
MIXTURES WITH PHASE TRANSITIONS

O. Yu. Dinariev and N. V. Evseev

UDC 532.546

The problem of mathematical modeling of flows of three-phase 
three-component mixtures with phase transitions has been investigated 
using density-functional theory. The analytical and numerical results 
demonstrating the efficient application of this approach to description 
of two-phase flows were obtained earlier. In the present work, methods 
extending the density-functional technique to the case of three-phase 
mixtures have been proposed. Numerical solutions for flows of three-phase 
mixtures, including those with phase transitions, have been given.

O. Yu. Schmidt Joint Institute of the Physics of the Earth, 
Russian Academy of Sciences, 10, B. Gruzinskaya Str., Moscow, 123810, 
Russia; email: dinariev@mail.ru. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 80, No. 6, pp. 173-180, November-December, 2007. 
Original article submitted May 17, 2006.