Effects of internal radiation on heat flow and facet formation in Bridgman growth of YAG crystals

Dynamics of partially faceted melt/crystal interfaces I: computational approach and single step–source calculations

“…Largescale models of coupled heat transport and facet formation in relevant systems have been presented in Refs. [1,[6][7][8][9]. The methods presented in Refs.…”

“…[7] using a technique requiring additional computational resources. The approach suggested by Lan [6,9], although shown to be compatible with threedimensional systems involving a number of heat transport mechanisms, is confined to the quasisteady-state analysis of systems exhibiting perfectly flat facets on the melt/crystal interface whose size and position is dictated by a prescribed level of maximum interfacial undercooling.…”

Dynamic three-dimensional simulation of facet formation and segregation in Bridgman crystal growth

“…Detailed calculation of internal radiation is complicated and computing-extensive. Even with the P 1 approximation, the computational effort is not trivial [18]. However, to reduce the computational cost and to concentrate the discussion on the facet formation, the internal radiation inside the crystal is treated by the Rosseland diffusion approximation [19] using the so-called effective thermal conductivity.…”

Role of Internal Radiation in Oxide Crystal Growth by Heat Exchanger Method

“…Internal radiation in numerical investigations of heat transfer in the DS-like systems is typically ignored [16,17], or approximated as an artificially enhanced thermal conductivity [18,19]. In some other studies, internal radiation was dealt with by P 1 -approximation [20][21][22] or treated as a surface phenomenon [23,24] assuming that the oxide crystal is totally transparent and internal radiation only acts between surfaces. Some researchers took into account internal radiation rigorously in their simulations [25][26][27][28][29][30][31].…”