M. Kobayashi et al., EFFECT OF INTERNAL RADIATIVE HEAT-TRANSFER ON THE CONVECTION IN CZ OXIDE MELT, Journal of crystal growth, 180(1), 1997, pp. 157-166
A numerical study was carried out to investigate the effect of interna
l radiative heat transfer on the convection in the Czochralski oxide m
elt. Results were obtained for a wide range of the absorption coeffici
ents of the melt. The flow and temperature fields showed a remarkable
change with the variance in the absorption coefficient. In this study,
we adopted two different kinds of boundary conditions for the radiati
ve heat transfer at the melt surface, i.e., an opaque and a semitransp
arent diffuse gray surface, and for each case, the influence of Marang
oni convection was investigated. The optical characteristic of the mel
t surface and the Marangoni effect greatly affected the convection and
temperature field in the melt. When the surface was assumed to be sem
itransparent, in the range of a small absorption coefficient, the smal
ler the absorption coefficient was, the lesser the Marangoni effect be
came, This was caused by the disappearance of the temperature gradient
at the melt surface, and consequently the flow became as weak as in t
he case without the Marangoni effect. These numerical results give a c
lue for discussion on the effect of internal radiative heat transfer i
n the melt of the Czochralski system.