Global simulation of an RF Czochralski furnace during different stages of germanium single crystal growth, part II: to investigate the effect of the crucible's relative position against the RF coil on the isotherms, flow fields and thermo-elastic stresses

Honarmandnia, Mohtaram; Tavakoli, Mohammad Hossein; Sadeghi, Hossein

doi:10.1039/c6ce02401g

Cited by 6 publications

(1 citation statement)

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“…The temperature and flow fields in the elements of a growth furnace result from the coupling of several heat transfer modes, namely, conduction in all furnace parts, convection in the melt and growth atmosphere, and radiation inside the semitransparent crystal and between the furnace elements. [16][17][18][19][20][21] Radiative heat transfer plays a key role in the growth process, and it acts directly on the temperature gradients and thermal stress in the crystal influencing then its quality.…”

Section: Introductionmentioning

confidence: 99%

Computational Analysis of Radiative Heat Transfer in Czochralski Furnace and 3D Anisotropic Thermal Stress in Li₂MoO₄ Bulk Crystal

Haddad

Bouzouaoui

Mokhtari

et al. 2022

Cryst. Res. Technol.

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Here, the radiative heat transfer inside a Czochralski furnace and the 3D thermal stress generated in a semitransparent Li2MoO4 crystal are deeply analyzed using anisotropic and temperature‐dependent elasticity and thermal expansion coefficients. The developed global numerical model takes into account induction heating, thermal conduction in all parts of the furnace, convection in the melt and the growth atmosphere, Marangoni convection at the free surface, radiation heat exchange between the furnace elements, internal radiation inside the semitransparent crystal and melt, and phase change at the growth interface. The contribution of each radiation mode is studied separately, then coupled together to clearly explain their roles in heat transfer, stress generation in the as‐grown crystal and in power consumption, and heat loss inside the furnace. Flow and temperature fields in the molten oxide and in the growth atmosphere as well as the thermal stress are presented and discussed for each case. Unrealistic cases are first considered where radiation exchange between the furnace elements and internal radiation in the assumed opaque crystal are neglected. For each case, the relation between temperature gradient and thermal stress is clearly demonstrated. Finally, the effect of the melt opacity on thermal stress is studied and related to temperature gradients in the crystal and at the free surface. The experimental observations are in good agreement.

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Section: Introductionmentioning

confidence: 99%

Computational Analysis of Radiative Heat Transfer in Czochralski Furnace and 3D Anisotropic Thermal Stress in Li₂MoO₄ Bulk Crystal

Haddad

Bouzouaoui

Mokhtari

et al. 2022

Cryst. Res. Technol.

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Computational analysis of heat transfer, thermal stress and dislocation density during resistively Czochralski growth of germanium single crystal

Tavakoli

Renani

Honarmandnia

et al. 2018

Journal of Crystal Growth

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Experimental and numerical effects of active afterheater addition on the growth of langatate (La₃Ga_5.5Ta_0.5O₁₄) crystals by the Czochralski method

et al. 2018

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Global simulation of an RF Czochralski furnace during different stages of germanium single crystal growth, part II: to investigate the effect of the crucible's relative position against the RF coil on the isotherms, flow fields and thermo-elastic stresses

Cited by 6 publications

References 20 publications

Computational Analysis of Radiative Heat Transfer in Czochralski Furnace and 3D Anisotropic Thermal Stress in Li₂MoO₄ Bulk Crystal

Computational Analysis of Radiative Heat Transfer in Czochralski Furnace and 3D Anisotropic Thermal Stress in Li₂MoO₄ Bulk Crystal

Computational analysis of heat transfer, thermal stress and dislocation density during resistively Czochralski growth of germanium single crystal

Experimental and numerical effects of active afterheater addition on the growth of langatate (La₃Ga_5.5Ta_0.5O₁₄) crystals by the Czochralski method

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Global simulation of an RF Czochralski furnace during different stages of germanium single crystal growth, part II: to investigate the effect of the crucible's relative position against the RF coil on the isotherms, flow fields and thermo-elastic stresses

Cited by 6 publications

References 20 publications

Computational Analysis of Radiative Heat Transfer in Czochralski Furnace and 3D Anisotropic Thermal Stress in Li2MoO4 Bulk Crystal

Computational Analysis of Radiative Heat Transfer in Czochralski Furnace and 3D Anisotropic Thermal Stress in Li2MoO4 Bulk Crystal

Computational analysis of heat transfer, thermal stress and dislocation density during resistively Czochralski growth of germanium single crystal

Experimental and numerical effects of active afterheater addition on the growth of langatate (La3Ga5.5Ta0.5O14) crystals by the Czochralski method

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Computational Analysis of Radiative Heat Transfer in Czochralski Furnace and 3D Anisotropic Thermal Stress in Li₂MoO₄ Bulk Crystal

Computational Analysis of Radiative Heat Transfer in Czochralski Furnace and 3D Anisotropic Thermal Stress in Li₂MoO₄ Bulk Crystal

Experimental and numerical effects of active afterheater addition on the growth of langatate (La₃Ga_5.5Ta_0.5O₁₄) crystals by the Czochralski method