ON EQUATIONS OF A ONE-VELOCITY HETEROGENEOUS MEDIUM

V. S. Surov

UDC 532.529.5

An analysis is made of equations of the one-velocity model of a heterogeneous mixture; 
in them, the internal interfractional-interaction forces and heat- and mass-exchange 
processes are allowed for. The characteristic equations and relations along the 
characteristic directions are found. It is shown that equations of the medium's model, 
in which the interfractional-interaction forces are allowed for, belong to a hyperbolic 
type. A number of finite-difference and finite-volume schemes meant for integration of 
the model's equations are considered.

Keywords: one-velocity multicomponent medium, hyperbolic 
systems of the nondivergent form, numerical modeling. 

Chelyabinsk State University, 129 Brat'ya Kashiriny Str., Chelyabinsk, 
454021, Russia; email: svs@csu.ru. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 82, No. 1, pp. 75-84, January-February, 2009. 
Original article submitted July 17, 2007; revision submitted March 
31, 2008.