HEAT AND MASS TRANSFER IN THE HETEROGENEOUS
SYSTEM MATRIX-INCLUSIONS UNDER PULSE
ELECTRON-BEAM PROCESSING

Yu. A. Chumakov and A. G. Knyazeva

UDC 532.68:536.2:621.785

A mathematical model of pulse electron-beam processing 
of a heterogeneous material with allowance for the fact that each 
phase (particles and the matrix) possess its own properties and thus 
is characterized by its own concentration and temperature has been 
proposed. The processes of transfer of heat and mass in particles 
and the matrix and exchange processes between the phases have been 
taken into account. An example of a partial problem enabling one to 
calculate the coefficients of heat and mass exchange between the phases 
as functions of the temperature and the particle size has been given. 
The influence of the character of the external heat flux on the temperature 
and concentration fields in particles and the matrix has been illustrated.

Institute of Strength Physics and Materials Science, Siberian Branch 
of the Russian Academy of Sciences, 2/1 Akademicheskii Prospekt, 
Tomsk, 634045, Russia. Translated from Inzhenerno-Fizicheskii Zhurnal, 
Vol. 81, No. 1, pp. 147-156, January-February, 2008. Original article 
submitted August 7, 2006; revision submitted January 26, 2007.