TY - JOUR
T1 - Hydrodynamic thermal-capillary model for Czochralski crystal growth
T2 - National Heat Transfer Conference
AU - Derby, Jeffrey J
AU - Xiao, Q.
PY - 1991/12/1
Y1 - 1991/12/1
N2 - A Hydrodynamic Thermal-Capillary Model (HTCM) for heat transfer in Czochralski crystal growth systems is used to calculate steady-state, axisymmetric solutions for heat transfer and fluid mechanics while incorporating a self-consistent description of the free-boundaries of the melt/crystal interface, the melt meniscus, and the crystal diameter. The model employs a Galerkin finite-element method to discretize the model equations, and solutions are obtained using a Newton-Raphson iterative scheme. Sample results are presented for the growth of a large-dimension oxide crystal with thermophysical properties similar to those of gadolinium gallium garnet (GGG). Calculations with the HTCM show the effects of crystal rotation on heat transfer, flow in the melt, and melt/crystal interface shape. Sever deflections of the melt/crystal interface are calculated for moderate rotation rates, and limit points in the steady-state-solutions are found with respect to crystal rotation.
AB - A Hydrodynamic Thermal-Capillary Model (HTCM) for heat transfer in Czochralski crystal growth systems is used to calculate steady-state, axisymmetric solutions for heat transfer and fluid mechanics while incorporating a self-consistent description of the free-boundaries of the melt/crystal interface, the melt meniscus, and the crystal diameter. The model employs a Galerkin finite-element method to discretize the model equations, and solutions are obtained using a Newton-Raphson iterative scheme. Sample results are presented for the growth of a large-dimension oxide crystal with thermophysical properties similar to those of gadolinium gallium garnet (GGG). Calculations with the HTCM show the effects of crystal rotation on heat transfer, flow in the melt, and melt/crystal interface shape. Sever deflections of the melt/crystal interface are calculated for moderate rotation rates, and limit points in the steady-state-solutions are found with respect to crystal rotation.
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M3 - Conference article
AN - SCOPUS:0026373737
SN - 0402-1215
SP - 1
EP - 10
JO - American Society of Mechanical Engineers (Paper)
JF - American Society of Mechanical Engineers (Paper)
Y2 - 28 July 1991 through 31 July 1991
ER -