MATHEMATICAL SIMULATION OF THE DYNAMICS
OF A DISPERSED PHASE IN FREE GRAVITATIONAL
CONVECTION OF A VISCOUS INCOMPRESSIBLE
LIQUID IN A SQUARE CAVITY

L. P. Kholpanov,a E. I. Nekrasova,b
and A. K. Nekrasovc

UDC 66.01/07(075.8):532.533

The problem of motion of monodisperse spherical particles 
in a heterogeneous medium in nonisothermal free convection of a carrying 
incompressible liquid in a square cavity with inhomogeneous distribution 
of temperature on the walls is considered. The problem is solved by 
the finite-difference method via joint solution of equations for the 
carrying phase in Euler variables and the equation for a disperse 
particle in Lagrange variables.

aInstitute of Problems of Chemical Physics, 
Russian Academy of Sciences, Chernogolovka, Moscow Region, 
142432, Russia; email: kholp@icp.ac.ru; bElektrostal 
Polytechnic Institute (branch of the Moscow State Institute of Steel 
and Alloys), Russia; cMoscow State University 
of Engineering Ecology, Russia. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 81, No. 1, pp. 81-89, January-February, 2008. 
Original article submitted October 17, 2006.