Melt Convection in a Czochralski Crucible

Miller, W.; Rehse, U.; Böttcher, K.

doi:10.1002/(sici)1521-4079(199904)34:4<481::aid-crat481>3.0.co;2-i

Cited by 10 publications

(3 citation statements)

References 7 publications

(1 reference statement)

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“…Large amounts of work have been carried out to investigate the melt flow, heat and mass transfer, radiation, interface inversion and process control during the last few decades . The thermal stress analysis in CZ crystal growth has also been investigated by many researchers . General reviews can be found in .…”

Section: Introductionmentioning

confidence: 99%

Global heat loss and thermal stress analysis in Czochralski crystal growth

Liu

Wang

et al. 2014

Crystal Research and Technology

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Based on our invention of an energy-efficient Czochalski crystal growth furnace, a 2D-axisymmetric numerical simulation model of LiNbO 3 crystal growth is developed. The heat transfer, melt and gas flow, radiation and the interface deflection have been examined. Heat losses in the furnace and the insulator, as well as the heating power and thermal stress distribution at three stages of crystal growth are calculated in detail. It is found that a large proportion of heat dissipates through the water-cooling system, and at the steel shell of the furnace, gas convection heat transfer is the major cooling mechanism. Less heat dissipation by radiation and more heat flux by gas convection to the crystal sidewall results in a larger concentrated thermal stress, which may induce large crystal cracks in the growth process. The simulation results of heating power are in coincidence with the actual power of our furnace, which verifies the feasibility of our model. The detailed information with respect to the device obtained from simulation can help to optimize the energy-saving design and growth process.

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Section: Introductionmentioning

confidence: 99%

Global heat loss and thermal stress analysis in Czochralski crystal growth

Liu

Wang

et al. 2014

Crystal Research and Technology

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“…With a former version of FIDAP (version 7.6) we observed severe convergence problems using the spline formulation even for a simple geometry if the flow field exceeds a certain value [MILLER et al 1999]. The computation of the phase-field and the physical parameters of the melt/crystal are implemented in the userdefined subroutine USRMBC of FIDAP TM .…”

Section: Discussionmentioning

confidence: 99%

Using a Phase-field-like Approach for the Calculation of Melt Flow and Interface Shape during Czochralski Growth

Miller

2001

Zeitschrift für experimentelle und technische Kristallographie

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“…A comprehensive introduction and review of the research carried out on this flow, prior to 1997, can be found in [1]. More recently, other papers dealing with the Cz convective system have been published [2][3][4][5][6]. These papers were mainly devoted to the numerical modelling of the flow instabilities and the application of a magnetic field to suppress the flow oscillations.…”

Section: Introductionmentioning

confidence: 99%