Global analysis of heat transfer in CZ crystal growth of oxide taking into account three-dimensional unsteady melt convection: Investigation of the coupling method between 2D and 3D models

Tsukada, Takao; Sugioka, Ken Ichi; Jing, Chenrui; Kobayashi, Masaki

doi:10.1016/j.jcrysgro.2009.12.072

Cited by 7 publications

(3 citation statements)

References 28 publications

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“…In real systems, a heat exchange by radiation takes place, adding another non-linearity (the radiation heat flux depends on T 4 ) the non-linearity of the Navier-Stokes equations governing the melt convection. Therefore, Tsukada et al introduced a coupling of a global axisymmetric calculation with a local 3D one [12]. In the local calculation comprising melt, crucible, and crystal, the time-dependent flow was computed using temperature boundary conditions from the global axisymmetric calculations.…”

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confidence: 99%

Numerical Modelling of the Czochralski Growth of β-Ga2O3

et al. 2017

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Our numerical modelling of the Czochralski growth of single crystalline β-Ga 2 O 3 crystals (monoclinic symmetry) starts at the 2D heat transport analysis within the crystal growth furnace, proceeds with the 3D heat transport and fluid flow analysis in the crystal-melt-crucible arrangement and targets the 3D thermal stress analysis within the β-Ga 2 O 3 crystal. In order to perform the stress analysis, we measured the thermal expansion coefficients and the elastic stiffness coefficients in two samples of a β-Ga 2 O 3 crystal grown at IKZ. Additionally, we analyse published data of β-Ga 2 O 3 material properties and use data from literature for comparative calculations. The computations were performed by the software packages CrysMAS, CGsim, Ansys-cfx and comsol Multiphysics. By the hand of two different thermal expansion data sets and two different crystal orientations, we analyse the elastic stresses in terms of the von-Mises stress.

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Numerical Modelling of the Czochralski Growth of β-Ga2O3

et al. 2017

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“…al [11][12] and Krzyminsky and Ostrogorsky [13]. Due to the rapid progress of PC computing power, the problem of mixed convection phenomena in a Czochralski crucible was also broadly studied by numerical calculations [14][15][16].…”

Section: Stereoscopic Digital Particle Image Velocimetry and Digitalmentioning

confidence: 99%

Stereoscopic Digital Particle Image Velocimetry and Digital Particle Image Thermometry analysis of the mixed convection phenomena in the system similar to the Czochralski method of single crystal production

Nowak¹,

Szmyd

2012

J. Phys.: Conf. Ser.

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“…Lately, there has been much interest in numerical modeling of oxide crystal growth. As a recent example in the literature, there are LiNbO 3 growth simulations using a coupling method between 2D and 3D models [4][5][6] with the account of crystal semitransparency in terms of the simplified P1 approximation. Some recent works on sapphire growth [7,8] contain 2D simulations during different stages of the growth, where radiation in the crystal, affecting much crystallization, is considered within an effective heat conductivity approach.…”

Section: Introductionmentioning

confidence: 99%