The effect of crystal rotation direction on the thermal and velocity fields of a Czochralski system with a low Prandtl number melt

Son, Seung-Suk; Nam, Phil-Ouk; Yi, Kyongsu

doi:10.1016/j.jcrysgro.2006.04.045

Cited by 19 publications

(13 citation statements)

References 14 publications

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“…The temperature of crystal in the experimental model system is kept constant using a water bath, and the temperatures of the external crucible wall and the center of the model crystal are 95 and 80 1C, respectively. The modeling fluid chosen for this study was a melt of Wood's metal, which has a low melting point (Tm ¼ 70 1C, Pr ¼ 0.019) [7,8]. The melt height is 100 mm.…”

Section: Methodsmentioning

confidence: 99%

“…External heat was designated for the free melt surface in order to simulate the effects of cooling by surface convection. An incorporated magnetic probe [7,8] was used to measure the flow velocities. The incorporated magnetic probe was set in a stationary position.…”

Section: Methodsmentioning

confidence: 99%

“…In addition, an experimental system with an 800 mm diameter crucible was developed to verify the results of the numerical model. Wood's metal was used for the melt in the experimental system [7,8]. The size of the crystal and the crucible diameter are 300 and 800 mm, respectively.…”

Section: Article In Pressmentioning

confidence: 99%

“…In order to overcome this obstacle, other groups have attempted using melts with low melting temperatures and a similar Pr number to silicon melt. Gorbunov et al [4] presented the temperature field using InGaSn (Tm ¼ 10.5 1C, Dc ¼ 500 mm, Pr ¼ 0.015-0.025), Lee and Chun [5,6] measured oscillatory convection using mercury (Tm=13$À8 1C, Dc= 160 mm, Pr=0.025) and Son et al [7,8] reported the effect of crystal and crucible rotation and thermal fluctuation using Wood's metal (Tm=70 1C, Dc=800 mm, Pr=0.019).…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

3-D time-dependent numerical model of flow patterns within a large-scale Czochralski system

Nam

2008

Journal of Crystal Growth

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Article In Pressmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

3-D time-dependent numerical model of flow patterns within a large-scale Czochralski system

Nam

2008

Journal of Crystal Growth

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“…The unstable flow resembles baroclinic instability [24]. For both rotation of the crystal and the crucible, Son et al [25,26] found that the azimuthal velocity of the oscillatory wave decreased when the crystal counterrotated with crucible. Furthermore, as the crucible rotation rate increases, the time for the transition decreases and the maximum thermal fluctuation region migrates toward the crucible sidewall.…”

Section: Introductionmentioning

confidence: 99%

Instability of forced flow in a rotating cylindrical pool with a differentially rotating disk on the free surface

2010

Sci. China Technol. Sci.

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The instability of forced flow in a rotating cylindrical pool with a differentially rotating disk on the free surface is investigated through a series of unsteady three-dimensional numerical simulations. The results show that the basic flow state of this system is axisymmetric and steady, but has rich structures at the meridian plane. However, when the rotation Reynolds number exceeds a critical value, the flow will undergo a transition to three-dimensional oscillatory flow, characterized by the velocity fluctuation waves traveling in the azimuthal direction. The main characteristics of the flow patterns are presented, including the propagating direction, velocity, amplitude and wave number, which depend on the rotation rates and directions of the disk and the cylindrical pool, and the critical conditions for the onset of oscillatory flow are also determined. For the case of disk-only rotation, the centrifugal instability is responsible for the flow transition, and when the disk iso-and counter-rotates with the cylindrical pool, the mechanisms for the transition are elliptic and of circular shear instabilities, respectively. rotation, flow transition, flow instabilityCitation:Wu C M, Li Y R. Instability of forced flow in a rotating cylindrical pool with a differentially rotating disk on the free surface.

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Numerical optimization of czochralski sapphire single crystal growth using orthogonal design method

Fang

Tian

Wang

et al. 2014

Crystal Research and Technology

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Crystal quality during Czochralski (Cz) growth is influenced significantly by the convexity of solid/liquid (S/L) interface, which is related to operating conditions, such as Radio‐Frequency (RF) coil position, crystal rotation and crucible rotation. Generally, a flat interface shape is preferred for high‐quality crystal growth. It is difficult to achieve the optimized conditions even from numerical modeling due to the large computational load from examining all of the affecting factors. Orthogonal design/test method, fortunately, provides an efficient way to organize the study of multiple factors with the minimization of computational load. In the paper, this method is adopted to investigate the affecting factors of Cz‐sapphire single crystal growth based on the coupled calculation of thermal field and melt flows. The orthogonal analysis clearly reveals the optimized growth conditions to achieve a relative flat S/L interface under the current ranges of the parameters.

show abstract

The effect of crystal rotation direction on the thermal and velocity fields of a Czochralski system with a low Prandtl number melt

Cited by 19 publications

References 14 publications

3-D time-dependent numerical model of flow patterns within a large-scale Czochralski system

3-D time-dependent numerical model of flow patterns within a large-scale Czochralski system

Instability of forced flow in a rotating cylindrical pool with a differentially rotating disk on the free surface

Numerical optimization of czochralski sapphire single crystal growth using orthogonal design method

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