TY - JOUR
T1 - A global analysis of heat transfer in the CZ crystal growth of oxide
T2 - Recent developments in the model
AU - Tsukada, Takao
AU - Kobayashi, Masaki
AU - Jing, Chengjun
N1 - Funding Information:
The authors would like to express their sincere thanks to the staff member of the Center for Computational Materials Science of the Institute for Materials Research, Tohoku University, for their continuous support in the use of the SR8000 supercomputing facilities. And project 50576079 was partly supported by NSFC.
PY - 2007/5/1
Y1 - 2007/5/1
N2 - In this paper, first, we reviewed our previous studies of the global analysis of heat transfer in an inductively heated Czochralski (CZ) furnace to grow oxide single crystals, in which it was assumed that the system is in a steady state and is axially symmetric. Particularly, it was emphasized that internal radiative heat transfer within oxide single crystals is important because oxide crystals are often semitransparent to infrared radiation. The results of the global analysis revealed that the melt/crystal interface shape is strongly affected by the absorption coefficient of such crystals as well as melt convection. Next, a new simple global model, in which unsteady, three-dimensional melt convection is taken into account in addition to radiative heat transfer in such crystals, is introduced. Here, it was shown numerically that when the crystal rotational Reynolds number is relatively large, melt convection becomes unsteady and three dimensional.
AB - In this paper, first, we reviewed our previous studies of the global analysis of heat transfer in an inductively heated Czochralski (CZ) furnace to grow oxide single crystals, in which it was assumed that the system is in a steady state and is axially symmetric. Particularly, it was emphasized that internal radiative heat transfer within oxide single crystals is important because oxide crystals are often semitransparent to infrared radiation. The results of the global analysis revealed that the melt/crystal interface shape is strongly affected by the absorption coefficient of such crystals as well as melt convection. Next, a new simple global model, in which unsteady, three-dimensional melt convection is taken into account in addition to radiative heat transfer in such crystals, is introduced. Here, it was shown numerically that when the crystal rotational Reynolds number is relatively large, melt convection becomes unsteady and three dimensional.
KW - A1. Global analysis of heat transfer
KW - A1. Internal radiation
KW - A2. Czochralski method
KW - A2. Interface inversion
UR - http://www.scopus.com/inward/record.url?scp=34047246633&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34047246633&partnerID=8YFLogxK
U2 - 10.1016/j.jcrysgro.2006.11.344
DO - 10.1016/j.jcrysgro.2006.11.344
M3 - Article
AN - SCOPUS:34047246633
SN - 0022-0248
VL - 303
SP - 150
EP - 155
JO - Journal of Crystal Growth
JF - Journal of Crystal Growth
IS - 1 SPEC. ISS.
ER -