STABILITY OF A CRYSTAL SURFACE IN FRACTIONAL
CRYSTALLIZATION ON A BAND

P. P. Osipov

UDC 66.065.52:548.5

The problem on the morphological and thermal stability 
of a crystal surface in fractional crystallization on a band has been 
investigated theoretically. A model to describe the dynamics of the 
development of a striped perturbation of the crystal surface is suggested. 
It is used as a basis for analyzing the influence of the main factors 
on the stability, and a stability criterion has been derived. It has 
been established theoretically that the thermal instability must appear 
at small Reynolds numbers (Re << 10). Numerical experiments have shown 
that an increase in the length of the band, its inclination angle, 
as well as a decrease in the rate of melt feed and in the band motion 
velocity increase the thermal instability.

Keywords: fractional crystallization, band crystallizer, 
constitutional supercooling.

Institute of Mechanics and Machine Building, Kazan Scientific 
Center, Russian Academy of Sciences, 2/31 Lobachevskii Str., Kazan, 
420111, Russia; email: petro300@rambler.ru. Translated from 
Inzhenerno-Fizicheskii Zhurnal, Vol. 82, No. 1, pp. 106-113, 
January-February, 2009. Original article submitted November 23, 2007.