Abstract The simulation of the effective density of individual gas bubbles in a two-phase melt, consisting of a liquid and gas bubbles, is performed using the virtual model of the thermal unit. Based on the studies, for the first time the theoretically and experimentally grounded mechanism of individual gas bubbles formation in shaped sapphire is proposed. It is shown that the change of the melt flow pattern in crucible affects greatly the bubble density at the crystallization front, and in the crystal. The obtained results allowed reducing the number of individual gas bubbles in sapphire sheets.

中文翻译：

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成形蓝宝石晶体中单个气泡分布的数值模拟

摘要 使用热单元的虚拟模型对由液体和气泡组成的两相熔体中单个气泡的有效密度进行了模拟。基于这些研究，首次提出了成形蓝宝石中单个气泡形成的理论和实验基础机制。结果表明，坩埚中熔体流动模式的变化对结晶前沿和晶体中的气泡密度有很大影响。获得的结果可以减少蓝宝石片中单个气泡的数量。