Fluid flow patterns in a simulated garnet melt

Miller, Donald F.; Pernell, T.L.

doi:10.1016/0022-0248(82)90233-0

Cited by 51 publications

(15 citation statements)

References 14 publications

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“…Based on water model experiment, Jones [2] concluded that the spoke pattern is the result of the buoyancy instability, and is composed of roll pairs along radial direction. Miller and Pernell [3], however, pointed out that surface tension should be an indispensable factor for the appearance of spoke pattern. Based on three-dimensional (3D) numerical simulation with Marangoni convection included, Jing [4] concluded that the spoke pattern is caused by Marangoni convection, and he demonstrated numerically that the traveling spoke pattern is a result of crystal rotation.…”

Section: Introductionmentioning

confidence: 97%

Three-dimensional unsteady convection in LiCaAlF6-Czochralski growth

Zeng

Chen

Mizuseki

et al. 2004

Journal of Crystal Growth

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Section: Introductionmentioning

confidence: 97%

Three-dimensional unsteady convection in LiCaAlF6-Czochralski growth

Zeng

Chen

Mizuseki

et al. 2004

Journal of Crystal Growth

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“…It is well known that the thermocapillary force may cause unstable fluid flow in single-crystal growth processes such as the Czochralski (Cz) methods (Miller and Pernell 1982;Yi et al 1994;Kakimoto and Ozoe 1998). Spatiotemporal changes of flow and temperature distributions in the melt may cause inhomogeneous distributions of dopants and point defects in the grown crystals.…”

Section: Introductionmentioning

confidence: 99%

Influence of Buoyancy Force on Thermocapillary Convection Instability in the Differentially Heated Annular Pools of Silicon Melt

Shi

Ermakov

et al. 2009

Microgravity Sci. Technol.

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The influence of buoyancy force on the thermocapillary convection instability in the annular pools (R i = 20 mm, R o = 40 mm, and depth d ranging from 1 to 10 mm) of silicon melt (Pr = 0.011), differentially heated at the outer wall and cooled at the inner wall, is investigated numerically. The critical Marangoni numbers (Ma c ) for the incipience of oscillatory flow are determined by linear stability analysis (LSA) under both microgravity and normal gravity conditions. The results indicate that the buoyancy force destabilizes the thermocapillary convection under different liquid layer depths from 3 to 10 mm. With increasing the layer depth, the critical Ma number, critical azimuthal wave number and critical phase velocity decrease. Some of 3-D simulation results are compared with those of LSA. 3-D results are found consistent with the LSA results except for a case of D = 0.05 where 3-D simulation gives a stationary 3-D flow under a large Ma.

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“…Thus, the presence of petals on the open melt surface [6] corresponded to the concave (or flat) MCI shape and indicated prevalence of the forced convection caused by the crystal rotation. Otherwise, the thermal convection prevailed, and the MCI shape was convex.…”

Section: Shapes In the Joint Action Of Thermal Convection And Crymentioning

confidence: 93%

Heptadecane and Gallium Crystallization in Hydrodynamic Czochralski Model

Бердников¹,

Prostomolotov²,

Verezub³

et al. 2015

JMSE-A

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Abstract:The processes of convective heat transfer and crystallization were studied on basis of the simplified, but a unified calculation-experimental Czochralski model, using two materials with the melting temperature close to ambient room temperature: 1) heptadecane with a low thermal conductivity; 2) gallium with the high one. The transparency of heptadecane melt has permitted to visualize both the melt stream structures and geometry of its crystallized mass in the laboratory experiment and to provide data for verification of the corresponding calculation model. Numerical calculations have allowed to parametrically study the flow structure, heat fluxes on the cooled disk and to assess dependence of the melt-crystal interface for both these substances on the modes of convective heat exchange: thermal-gravitational and mixed (i.e., with an additional crystal rotation) convection.

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Fluid flow patterns in a simulated garnet melt

Cited by 51 publications

References 14 publications

Three-dimensional unsteady convection in LiCaAlF6-Czochralski growth

Three-dimensional unsteady convection in LiCaAlF6-Czochralski growth

Influence of Buoyancy Force on Thermocapillary Convection Instability in the Differentially Heated Annular Pools of Silicon Melt

Heptadecane and Gallium Crystallization in Hydrodynamic Czochralski Model

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