An intermittent transition to chaotic flow by crystal rotation during Czochralski growth

Schwabe, D.; Sumathi, R. Radhakrishnan

doi:10.1016/j.jcrysgro.2004.10.109

Cited by 8 publications

(5 citation statements)

References 5 publications

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“…Indeed, the temperature gradient between the crucible and the crystal affects significantly the flow in the crucible, particularly in the close vicinity of the crystal growth interface [37]. More recently, an intermittent transition to chaotic flow has also been observed in a Cz system, for which chaotic temperature fluctuations have been detected near the crystal-melt interface [38].…”

Section: Resultsmentioning

confidence: 99%

Application of the proper orthogonal decomposition to turbulent convective flows in a simulated Czochralski system

Rahal

Cerisier

Azuma

2008

International Journal of Heat and Mass Transfer

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Section: Resultsmentioning

confidence: 99%

Application of the proper orthogonal decomposition to turbulent convective flows in a simulated Czochralski system

Rahal

Cerisier

Azuma

2008

International Journal of Heat and Mass Transfer

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“…As the crystal counter‐rotation rate increases, the thermal fluctuation near the crystal edge is also reduced . An intermittent transition to chaotic flow in the melt in a Cz model‐growth system has been revealed by experiments . It is found that this transition occurs at a certain critical crystal rotation rate and is characterized by bursts of temperature drops near the crystal‐melt interface.…”

Section: Introductionmentioning

confidence: 97%

Numerical Simulation on Effect of Rotation on Thermal Convection in a Shallow Model Czochralski Configuration with a Heated Bottom

Shen

2018

Crystal Research and Technology

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This paper presents a set of numerical simulations on the effect of rotation on thermal convection in a shallow model Czochralski configuration with a heated crucible bottom. Results show that when the bottom is heated by low heat flux, the temperature fluctuation can be significantly weakened and the melt can be kept from solidifying. Once the heat flux exceeds a threshold value, the thermocapillary convection will transit to the Benard-Marangoni convection. The temperature fluctuation is amplified by increasing crystal rotation rate or heat flux. The crystal rotation can restrain the azimuthal traveling of the waves. However, the propagating direction of the waves is related to the temperature gradient and the crucible rotation, and is independent of the crystal rotation. The wavenumber is reduced by the crystal rotation individually. Furthermore, the crucible rotation can reduce the effect of the crystal rotation on the wavenumber.

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“…Takagi et al (2014) investigated the combined effects of pool rotation and applied magnetics field on HTWs. In the crystal growth process, rotation is used as a common means to acquire a more symmetric temperature field in the time-average, mix the melt and control the crystal-melt interface shape (Schwabe and Sumathi 2005). Liu and Kakimoto (2008) found that the interface deflection changes from non-uniformity in the azimuthal direction to an axisymmetric distribution with increasing crystal rotation rate in a Cz-Si system by the numerical simulation.…”

Section: Introductionmentioning

confidence: 99%

Effect of pool rotation on three-dimensional flow in a shallow annular pool of silicon melt with bidirectional temperature gradients

Zhang¹,

Peng²,

Wang³

et al. 2016

Fluid Dyn. Res.

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In order to understand the effect of pool rotation on silicon melt flow with the bidirectional temperature gradients, we conducted a series of unsteady threedimensional (3D) numerical simulations in a shallow annular pool. The bidirectional temperature gradients are produced by the temperature difference between outer and inner walls as well as a constant heat flux at the bottom. Results show that when Marangoni number is small, a 3D steady flow is common without pool rotation. But it bifurcates to a 3D oscillatory flow at a low rotation Reynolds number. Subsequently, the flow becomes steady and axisymmetric at a high rotation Reynolds number. When the Marangoni number is large, pool rotation can effectively suppress the temperature fluctuation on the free surface, meanwhile, it improves the flow stability. The critical heat flux density diagrams are mapped, and the effects of radial and vertical temperature gradients on the flow are discussed. Additionally, the transition process from the flow dominated by the radial temperature gradient to the one dominated by the vertical temperature gradient is presented.

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An intermittent transition to chaotic flow by crystal rotation during Czochralski growth

Cited by 8 publications

References 5 publications

Application of the proper orthogonal decomposition to turbulent convective flows in a simulated Czochralski system

Application of the proper orthogonal decomposition to turbulent convective flows in a simulated Czochralski system

Numerical Simulation on Effect of Rotation on Thermal Convection in a Shallow Model Czochralski Configuration with a Heated Bottom

Effect of pool rotation on three-dimensional flow in a shallow annular pool of silicon melt with bidirectional temperature gradients

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