3D Simulation of the Coil Geometry Effect on the Induction Heating Process in Czochralski Crystal Growth System

2020 ◽  
Vol 55 (3) ◽  
pp. 1900147 ◽  
Author(s):  
Hamed Heidari ◽  
Mohammad Hossein Tavakoli ◽  
AbdolJabbar Shokri ◽  
Behnam Mohamad Moradi ◽  
Omid Mohammad Sharifi ◽  
...  
Keyword(s):  
Crystal Growth ◽  
Induction Heating ◽  
3D Simulation ◽  
Heating Process ◽  
Geometry Effect ◽  
Czochralski Crystal Growth ◽  
Coil Geometry ◽  
Growth System

Influence of magnetic flux concentrator on the induction heating process in crystal growth systems-geometry investigation

CrystEngComm ◽  
2018 ◽  
Vol 20 (48) ◽  
pp. 7857-7865 ◽  
Author(s):  
Hamed Heidari ◽  
Mohammad Hossein Tavakoli ◽  
Sayed Omid Sobhani ◽  
Mohtaram Honarmandnia
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crystal Growth ◽  
Magnetic Flux ◽  
Induction Heating ◽  
Heating Process ◽  
Geometry Effect ◽  
Czochralski Crystal Growth ◽  
Growth System ◽  
Flux Concentrator

In this paper, a magnetic flux concentrator (MFC) is reported, and its geometry effect on the induction heating process has been calculated in a Czochralski crystal growth system using the 2D finite element method.

Influence of coil geometry on the induction heating process in crystal growth systems

2009 ◽  
Vol 311 (6) ◽  
pp. 1594-1599 ◽  
Author(s):  
M.H. Tavakoli ◽  
A. Ojaghi ◽  
E. Mohammadi-Manesh ◽  
M. Mansour
Keyword(s):  
Crystal Growth ◽  
Induction Heating ◽  
Heating Process ◽  
Coil Geometry

The Czochralski crystal growth system with a periodic crystal growth rate and back-melting

1982 ◽  
Vol 379 (1777) ◽  
pp. 327-343 ◽  
Keyword(s):  
Boundary Layer ◽  
Growth Rate ◽  
Crystal Growth ◽  
Solid Phase ◽  
Harmonic Component ◽  
Preceding Paper ◽  
Crystal Growth Rate ◽  
Czochralski Crystal Growth ◽  
Solute Boundary Layer ◽  
Growth System

This paper considers the effect upon the Czochralski crystal growth process of modulating the crystal growth rate periodically, by imposing upon a constant mean growth rate a harmonic component. The case is considered when the amplitude of the harmonic component is sufficiently large that the crystal melts during part of the periodic cycle. The model of the Czochralski system discussed in the preceding paper is adopted. The system is considered in the realistic limit of Sc → ∞, σ → 0 ∆ → 0, where Sc = v / D L is the Schmidt number, σ= v / K L is the Prandtl number, and ∆ = D S / D L is the ratio of the solute diffusivities in the liquid and solid phases, v being the kinematic viscosity of the liquid, and K L the thermal diffusivity of the liquid. When the crystal melts back, large solute gradients are formed in the solid phase. It is due to the presence of these that the diffusion of solute in the solid becomes important, being responsible for the formation of a time-dependent solute boundary layer adjacent to the interface in the crystal. Four distinct periods throughout the cycle are identified in which this boundary layer has different structures. The results of numerical calculations arising from this work are presented.

A versatile Czochralski crystal growth system with automatic diameter control

1995 ◽  
Vol 66 (7) ◽  
pp. 3939-3942 ◽  
Author(s):  
M. D. Aggarwal ◽  
R. Metzl ◽  
W. S. Wang ◽  
J. Choi
Keyword(s):  
Crystal Growth ◽  
Czochralski Crystal Growth ◽  
Growth System ◽  
Diameter Control

A versatile low‐cost Czochralski crystal growth system for nonlinear optical organic materials

1992 ◽  
Vol 63 (11) ◽  
pp. 5481-5482 ◽  
Author(s):  
M. D. Aggarwal ◽  
W. S. Wang ◽  
Angela W. Shields ◽  
Benjamin G. Penn ◽  
Donald O. Frazier
Keyword(s):  
Crystal Growth ◽  
Nonlinear Optical ◽  
Organic Materials ◽  
Low Cost ◽  
Czochralski Crystal Growth ◽  
Growth System

Numerical Simulation of Fz Single Crystal Growth Process with Radio-Frequency Induction Heating

1995 ◽  
Vol 398 ◽  
Author(s):  
Y. Masuda ◽  
T. Tsukada ◽  
M. Hozawa
Keyword(s):  
Finite Element ◽  
Crystal Growth ◽  
Radio Frequency ◽  
Single Crystal ◽  
Induction Heating ◽  
Surface Shape ◽  
Temperature Fields ◽  
Rf Coil ◽  
Zone Length ◽  
Growth System

ABSTRACTAnalyses of a floating zone (FZ) crystal growth system with a radio frequency (RF) induction heating are carried out. The electromagnetic and temperature fields, and surface interfaces are solved for numerically. Finite element methods are used for the calculation of the temperature fields and interfaces and the hybrid finite element and boundary element methods are used for the calculation of the electromagnetic field. The calculation domain is divided into eleven regions, each of which, except for the RF coil region, require a coordinate transformation. In the present study, the silicon FZ growth system ,where the diameter of both feed-rod and single crystal were set to be 1cm was computed. The Lorentz force is found to play an important role in determining the melt free surface shape and the molten zone length. The effect of the current density, frequency of RF coil and crystal growth rate are investigated.

A new design for a UHV compatible Czochralski crystal growth system

1990 ◽  
Vol 61 (9) ◽  
pp. 2427-2429 ◽  
Author(s):  
S. A. Brown ◽  
B. K. Howard ◽  
S. V. Brown ◽  
S. R. Julian
Keyword(s):  
Crystal Growth ◽  
Czochralski Crystal Growth ◽  
Growth System
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