Study of internal radiation with solute inclusions during Czochralski sapphire crystal growth

Internal radiation is investigated using discrete ordinates (DO) radiation model for Czochralski growth of sapphire single crystal. Its effects on the solid/liquid (S/L) interface, melt flow and temperature distribution are presented. Using the internal radiation model, the influences of melt inclus...

Full description

Saved in:
Bibliographic Details
Published in:International journal of heat and mass transfer 2014-12, Vol.79, p.783-789
Main Authors: Fang, H.S., Zhang, Q.J., Tian, J., Wang, S., Ma, R.H.
Format: Article
Language:English
Subjects:
Bends
Crystals
Czochralski
Czochralski process
Discrete ordinates method
Inclusions
Interface shape
Internal radiation
Liquids
Mathematical models
Melts
Sapphire
Solute inclusions
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Internal radiation is investigated using discrete ordinates (DO) radiation model for Czochralski growth of sapphire single crystal. Its effects on the solid/liquid (S/L) interface, melt flow and temperature distribution are presented. Using the internal radiation model, the influences of melt inclusions on the S/L interface are further examined with special attention directed to optical properties of inclusions, opaque or transparent, and locations of inclusions in the crystal. The results show that the predicted convexity of the interface increases after taking into account internal radiation. A local surface with accumulation of opaque inclusions bends towards the crystal. On the contrary, transparent inclusions result in a more convex interface into the melt. These phenomena are both revealed in two- and three-dimensional calculations.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2014.08.093