Influence of crucible and coil geometry on the induction heating process in Czochralski crystal growth system

Khodamoradi, Hossein; Tavakoli, Mohammad Hossein; Mohammadi, Kheirollah

doi:10.1016/j.jcrysgro.2015.04.014

Cited by 14 publications

(4 citation statements)

References 16 publications

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“…The maximum power density is at the crucible corner (2.63 × 10 8 W m −3 ), as found by Khodamoradi et al, [31] and at the top part of the crucible (2.2 × 10 8 W m −3 ). The heating is then more efficient in the crucible sidewall, which transfers its thermal energy to the oxide melt.…”

Section: Resultssupporting

confidence: 80%

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: Resultssupporting

confidence: 80%

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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“…Induction melting technology is widely used and there are many directions of research to improve the process. For example, the authors of the works [1]- [4] use mathematical modeling to search for an optimal inductor configuration that provides the best homogeneous heating of metal in its volume (M.H. Tavakoli et.…”

Section: Introductionmentioning

confidence: 99%

“…al. [4]). The Lorentz force increasing in the melt in the alternating magnetic field (AMF) leads to an ordered motion of liquid metal.…”

Section: Introductionmentioning

confidence: 99%

Rupture of Thin Film Covering the Liquid Metal Stirred by Alternating Magnetic Field. Numerical Simulation

Nikulin,

Demin,

Nukulina

2023

Preprint

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The present work deals with the technological process of induction melting of heat-resistant nickel alloys and, in particular, with the problem of formation and stability of oxide film on the surface of the melt. Our mathematical model describes the heat and mass transfer in the metal melt subjected to the influence of an alternating magnetic field, and the elastic stress states of the film on its surface. The governing equations of the problem are given and non-dimensional parameters are discussed. It is shown how the influence of the magnetic field strength on the flow of the metal melt changes at different frequencies. The states of the surface film are studied theoretically using numerical simulation. It is shown that the variation of the field strength at different frequencies leads to decaying oscillations in the velocity field. The causes of these oscillations are discussed in detail. The stress and destruction of thin films by melt motion are considered. The mechanisms responsible for the primary destruction of the initial film and its fragments are revealed. The rupture of quasi-stable films at different frequencies is studied. It is shown that the result of the influence on the film state with the increase of the magnetic field strength depends on the field frequency. The frequency range was found in which the surface film is strong enough to prevent the intensification of the melt flow with the increase of the magnetic field strength, this effect provides the stability of the film.

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“…Up to now, several papers about this subject, have been written by relying on numerical study and computer modeling approaches [for example ref. []]. Although the heating part is usually assumed to be symmetric in a growth setup but in fact it is asymmetric and has a 3D shape .…”

Section: Introductionmentioning

confidence: 99%

3D Simulation of the Coil Geometry Effect on the Induction Heating Process in Czochralski Crystal Growth System

Heidari

Tavakoli

shokri

et al. 2020

Crystal Research and Technology

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Herein, influence of coil geometry in a Czochralski crystal growth system is studied using 3D finite element method. Three different geometries for the helical RF‐coil including solenoid, conical solenoid, and rectangular are considered and distribution of magnetic flux density (through the system), produced heat in the RF‐coil and the graphite crucible, as well as heat volume integral are calculated. The obtained numerical results show that every considered coil produces a special heating structure due to its shape with some advantages and disadvantages.

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Influence of crucible and coil geometry on the induction heating process in Czochralski crystal growth system

Cited by 14 publications

References 16 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

Rupture of Thin Film Covering the Liquid Metal Stirred by Alternating Magnetic Field. Numerical Simulation

3D Simulation of the Coil Geometry Effect on the Induction Heating Process in Czochralski Crystal Growth System

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Influence of crucible and coil geometry on the induction heating process in Czochralski crystal growth system

Cited by 14 publications

References 16 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

Rupture of Thin Film Covering the Liquid Metal Stirred by Alternating Magnetic Field. Numerical Simulation

3D Simulation of the Coil Geometry Effect on the Induction Heating Process in Czochralski Crystal Growth System

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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