Flow instability caused by temperature boundary conditions in a model of Czochralski crystal growth

A weakly turbulent buoyancy-driven flow is studied experimentally and numerically in a liquid metal cylinder with small height-to-diameter ratio. The cell represents a model of the Czochralski crystal growth process and includes heating at the bottom and non-uniform cooling at the top. Transition to a non-axisymmetric roll-like flow structure (wind) is observed experimentally under conditions, which still produce a nearly axisymmetric flow in the computations. It is shown that the contradiction can be explained by the flow sensitivity to temperature boundary conditions at the cell bottom. It is made of a massive copper disk to approximate isothermal temperature conditions. Due to a finite heat conductivity, the bottom is unable to sufficiently equalize the temperature over large distances. This deviation from isothermal conditions is amplified in a separate experiment by a thin heat barrier at the cell's bottom. In this case, the transition to wind is observed at a nearly ten times lower heat flux both in numerics and experiment. The transition then produces a very long-period flow oscillation as the wind erratically changes flow direction.

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Publication Details

Journal
Physics of Fluids
Published
2025-02-01
DOI
https://doi.org/10.1063/5.0250371
Primary Topic
Solidification and crystal growth phenomena
Type
article
Field-Weighted Citation Impact
0.00

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article

Flow instability caused by temperature boundary conditions in a model of Czochralski crystal growth

Kaspars Dadzis, I. Grants, Sven Eckert, D. Raebiger et al.
Physics of Fluids
Solidification and crystal growth phenomena
article

Flow instability caused by temperature boundary conditions in a model of Czochralski crystal growth

Kaspars Dadzis, I. Grants, Sven Eckert, D. Raebiger, G. Gerbeth, Iason Tsiapkinis, J. Pal
article en

Abstract

A weakly turbulent buoyancy-driven flow is studied experimentally and numerically in a liquid metal cylinder with small height-to-diameter ratio. The cell represents a model of the Czochralski crystal growth process and includes heating at the bottom and non-uniform cooling at the top. Transition to a non-axisymmetric roll-like flow structure (wind) is observed experimentally under conditions, which still produce a nearly axisymmetric flow in the computations. It is shown that the contradiction can be explained by the flow sensitivity to temperature boundary conditions at the cell bottom. It is made of a massive copper disk to approximate isothermal temperature conditions. Due to a finite heat conductivity, the bottom is unable to sufficiently equalize the temperature over large distances. This deviation from isothermal conditions is amplified in a separate experiment by a thin heat barrier at the cell's bottom. In this case, the transition to wind is observed at a nearly ten times lower heat flux both in numerics and experiment. The transition then produces a very long-period flow oscillation as the wind erratically changes flow direction.

Physics of FluidsVol. 37(2)
Helmholtz-Zentrum Dresden-Rossendorf (DE), Leibniz Institute for Crystal Growth (DE), Leibniz Institute for Crystal Growth (DE), University of Latvia (LV)
H2020 European Research Council
Openalex Percentile: Top 99%
Solidification and crystal growth phenomena
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Flow instability caused by temperature boundary conditions in a model of Czochralski crystal growth — Kaspars Dadzis, I. Grants, et al. · Physics of Fluids (2025) | TGRS Research Map | TGRS