DESCRIPTION OF VISCOUS-FLUID FLOWS
WITH A MOVING SOLID PHASE
IN THE DENSITY-FUNCTIONAL THEORY

O. Yu. Dinariev and N. V. Evseev

UDC 532.546

The density-functional theory has been extended to the 
flows of multicomponent multiphase mixtures containing solid bodies. 
It is proposed to consider these bodies as separate phases of a mixture 
and the rheology of the indicated bodies as elastic, which enables 
retention of their shape in the process of motion. This theory allows 
one to simultaneously describe a flow of a mixture univariately and 
the phase transformations occurring in it with the participation of 
the solid phase. Results of numerical simulation of the motion of 
a solid body with no change of phase and with dissolution in a viscous 
flow are presented.

Shmidt Joint Institute of 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. 5, pp. 70-77, September-October, 2007. Original 
article submitted February 28, 2006.