Simulated rotational instabilities in molten bismuth silicon oxide

Whiffin, P.A.C.; Bruton, TM; Brice, J.C.

doi:10.1016/0022-0248(76)90033-6

Cited by 84 publications

(10 citation statements)

References 4 publications

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“…On the contrary, two typical wave patterns at the free surface are observed for cos= 32 r/rain and cos--46 r/rain, respectively as shown in Fig.4, when Marangoni effect is ignored. Two typical wave-like patterns as shown in Fig.4 are consistent with the experimental observations [24] (refer to Figs.2a & 2b in Ref. [24]).…”

Section: Resultssupporting

confidence: 89%

“…Two typical wave-like patterns as shown in Fig.4 are consistent with the experimental observations [24] (refer to Figs.2a & 2b in Ref. [24]). The temperature structure at the free surface as in Fig.4(a) is not stable, the convection structure keeps evolution, and a further computation is required to investigate its finial structure, maybe it is never stable.…”

Section: Resultssupporting

confidence: 89%

“…Both experimental observation of two typical wave-like patterns at the free-surface as in Ref. [24], and also axisymmetric flow at free surface due to strong Marangoni convection are re-displayed through our numerical simulations. Results also indicate that for the precisely numerical study on the heat and mass transfer in the Czochralski crystal growth, Marangoni convection should be always included.…”

Section: Resultsmentioning

confidence: 82%

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Marangoni convection in the LiCaAIF6 crystal growth by the Czochralski technique

et al. 2002

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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.

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Section: Resultssupporting

confidence: 89%

Section: Resultssupporting

confidence: 89%

Section: Resultsmentioning

confidence: 82%

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Marangoni convection in the LiCaAIF6 crystal growth by the Czochralski technique

et al. 2002

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“…Studies of rotational instability in the CZ growth of bismuth silicate and bismuth germanate crystals have shown that the instability arises from the combined effect of the radial temperature gradients and the destabilization of the crystal-rotation-induced vertical gradients in the melt [38,40,44,48]. Beyond the critical crystal rotation rate, the crystal detaches from the melt.…”

Section: Introductionmentioning

confidence: 97%

“…The maximum cooling rate of bismuth silicate crystals after the growth process is 64/R 2 (°C/h) at their melting point and a factor of 2 slower near room temperature [36]. The rotational instability of bismuth-containing oxide melts in BSO and BGO crystal growth was investigated in [38,40,44,48,57,58,60]. The crystal rotation rate during pulling was shown to have a strong where R is the crystal radius, ω is the crystal rotation rate, and ν is the kinematic viscosity of the melt.…”

Section: Introductionmentioning

confidence: 99%

Growth of Sillenite-Structure Single Crystals

et al. 2005

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The main processes for preparing bulk single crystals and films of photorefractive and piezoelectric Bi 12 M x O 20 ± δ (M = Group II-VIII elements) sillenite compounds are considered. Experimental data are summarized on the crystal growth of Bi 12 M x O 20 ± δ from the melt and under hydrothermal conditions, and the key morphological features of sillenites are analyzed. Various types of macroscopic growth defects in sillenite-type crystals are described, and their origin is discussed. The compositions of second-phase inclusions in undoped and doped (Group I-VIII elements) Bi 12 SiO 20 , Bi 12 GeO 20 , and Bi 12 TiO 20 single crystals are presented, and the main physicochemical properties of various Bi 12 M x O 20 ± δ crystals are summarized.

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Heat Transfer and Fluid Flow during Growth of Y3Al5O12 Single Crystals using the Czochralski Method

Galazka

Wilke

2000

Cryst. Res. Technol.

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A melt flow taking place during growth of Y3Al5O12 crystals by the Czochralski method including various types of convection and the melt/crystal interface shape is analyzed numerically using a finite element method. The interface deflection decreases as the melt level goes down during a growth process. Temperature and optical properties of the growth furnace enclosure influence the flow pattern, temperature distribution, and the interface shape. The enclosure temperature can be effectively used to control the interface shape during the growth.

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Simulated rotational instabilities in molten bismuth silicon oxide

Cited by 84 publications

References 4 publications

Marangoni convection in the LiCaAIF6 crystal growth by the Czochralski technique

Marangoni convection in the LiCaAIF6 crystal growth by the Czochralski technique

Growth of Sillenite-Structure Single Crystals

Heat Transfer and Fluid Flow during Growth of Y3Al5O12 Single Crystals using the Czochralski Method

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