Three-dimensional numerical simulation of oxide melt flow in Czochralski configuration

Jing, Chenrui; Imaishi, Nobuyuki; Sato, Tsuneyuki; Miyazawa, Y.

doi:10.1016/s0022-0248(00)00427-9

Cited by 51 publications

(38 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…With these divergences, attention has been turned to the flow instability. Jing et al [36,37] and Kumar et al [38] performed numerical simulations including and neglecting the Marangoni effect. It was proved that the Marangoni effect played a significant role in the overall properties of the temporal thermal and flow fields including its associated instabilities.…”

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.

View full text Add to dashboard Cite

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.

show abstract

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.

View full text Add to dashboard Cite

show abstract

“…Marangoni convection is reported by Jing et al 25) to be responsible for the formation of the 3D spoke pattern on the free surface in 3D numerical simulations, and Hintz et al 26) presented that Marangoni convection causes a different 2D flow pattern from the comparison of experiments with water and silicon oil. However, Marangoni convection has typically been ignored in most of the previous model simulations.…”

Section: Resultsmentioning

confidence: 96%

Numerical Study on LiCaAlF<SUB>6</SUB> Czochralski Crystal Growth

et al. 2004

View full text Add to dashboard Cite

Czochralski crystal growth (CZ) is one of the most important single crystal growth techniques. A numerical study on LiCaAlF 6 (LiCAF) crystal in CZ is conducted, and three criteria, which concern with growth rate, interface shape and the instability of convection, for estimating an optimal crystal rotation are adopted. Based on a simplified CZ model with Marangoni convection included, the effect of the variable experimental parameters, such as crystal size and melt height etc., on the optimal crystal rotation is investigated by means of the finite volume method.

show abstract

“…The spoke and wave-like patterns at the free surface are well-known typical patterns of convection in oxide meltt8-10,15-251 In water model experiments, Jones successfully simulated the spoke and wave-like patternstlS-2°k A 4-fold wave-like pattern at the free surface was also observed based from 3D numerical simulation excluding the Marangoni effecttgk Jing et al [16,17] included Marangoni convection in their numerical simulation, and reported that the Marangoni effect is responsible for the appearance of spoke and wave-like patterns at the free surface in oxide melts under the conditions that they considered. …”

Section: Introductionmentioning

confidence: 89%

Marangoni convection in the LiCaAIF6 crystal growth by the Czochralski technique

et al. 2002

View full text Add to dashboard Cite

Numerical simulation of the mixed convection induced by buoyancy, crystal rotation, and also unbalanced surface tension at the melt-gas interface is conducted by means of the finite volume method in the model of the Czochralski crystal growth. The role of Marangoni convection in the heat and mass transfer is investigated by the comparison of the models with and without surface tension included, and our results indicate that Marangoni convection plays an important role in the heat and mass transfer near the interface of melt and crystal, and also the convection structure.

show abstract

Three-dimensional numerical simulation of oxide melt flow in Czochralski configuration

Cited by 51 publications

References 12 publications

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

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

Numerical Study on LiCaAlF<SUB>6</SUB> Czochralski Crystal Growth

Marangoni convection in the LiCaAIF6 crystal growth by the Czochralski technique

Contact Info

Product

Resources

About