Appearance of a baroclinic wave in Czochralski silicon melt

Kishida, Yutaka; Tanaka, Masahiro; Esaka, Hisao

doi:10.1016/0022-0248(93)90838-n

Cited by 33 publications

(7 citation statements)

References 18 publications

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“…Some qualitative evidence of this phenomenon can be found in the observations of Teitel et al (2008), which also support our computations ( Fig. 1b), as well as in Kakimoto et al (1990), Munakata & Tanasawa (1990), Ozoe et al (1991), Kishida et al (1993), Seidl et al (1994), andSuzuki (2004). Some independent numerical results exhibiting the Czochralski flow destabilization with increasing rotation can be found in Sung et al (1995), Akamatsu et al (1997), Zeng et al (2003) and Banerjee & Muralidhar (2006).…”

Section: Introductionsupporting

confidence: 88%

“…Some independent numerical results exhibiting the Czochralski flow destabilization with increasing rotation can be found in Sung et al (1995), Akamatsu et al (1997), Zeng et al (2003) and Banerjee & Muralidhar (2006). The fluid Prandtl number in these works varies from Pr = 0.011 in Kishida et al (1993) to Pr = 23.9 in Teitel et al (2008), and even Pr ≈ 4600 in Ozoe et al (1991) and Sung et al (1995), so that the destabilization phenomenon can be expected and, as it is…”

mentioning

confidence: 94%

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Destabilization of free convection by weak rotation

Gelfgat

2011

J. Fluid Mech.

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This study offers an explanation of a recently observed effect of destabilization of free convective flows by weak rotation. After studying several models where flows are driven by a simultaneous action of convection and rotation, it is concluded that the destabilization is observed in the cases where centrifugal force acts against main convective circulation. At relatively low Prandtl numbers this counter action can split the main vortex into two counter rotating vortices, where the interaction leads to instability. At larger Prandtl numbers, the counter action of the centrifugal force steepens an unstable thermal stratification, which triggers Rayleigh-B\'enard instability mechanism. Both cases can be enhanced by advection of azimuthal velocity disturbances towards the axis, where they grow and excite perturbations of the radial velocity. The effect was studied considering a combined convective/rotating flow in a cylinder with a rotating lid and a parabolic temperature profile at the sidewall. Next, explanations of the destabilization effect for rotating magnetic field driven flow and melt flow in a Czochralski crystal growth model were derived

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Section: Introductionsupporting

confidence: 88%

mentioning

confidence: 94%

Destabilization of free convection by weak rotation

Gelfgat

2011

J. Fluid Mech.

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“…baroclinic instability flow, was observed by the X-ray visualization system, when the crucible/crystal rotation rate was increased, as shown in Fig. 1.20 [24,25]. This is due to coupling of the where g, β, T , h, ω c , r c and ν are gravitational acceleration, volumetric thermal expansion of silicon melt, temperature difference between the top and the bottom, melt height, crucible rotational rate, crucible radius and kinematic viscosity of silicon melt, respectively.…”

Section: Analysis Of Heat-and Mass-transfer Processesmentioning

confidence: 97%

Silicon

Hibiya¹,

Hoshikawa²

2010

Bulk Crystal Growth of Electronic, Optical &Amp; Optoelectronic Materials

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“…Several experimental studies on actual CZ Si melts have revealed interesting features [2][3][4][5][6][7][8][9][10] regarding the Coriolis effect. According to these studies, a crucible melt will fall into several convection regimes, such as axi-symmetric convection, Küpper-Lortz instability, baroclinic wave, and geostrophic turbulence, under balance between the inertial force and Coriolis force.…”

Section: Introductionmentioning

confidence: 98%