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为了解环形液池内耦合热溶-质毛细对流的转变特征,建立了环形液池内的耦合热-溶质毛细对流的物理数学模型,采用有限容积法进行二维数值模拟,得到了环形液池内耦合热-溶质毛细对流失稳的临界条件,并对耦合热-溶质毛细对流失稳机理进行了分析.结果表明:环形液池内流态从稳态到非稳态的转变为霍普夫分岔;随着深宽比、半径比和普朗特数的增加,流动更容易失稳;当刘易斯数大于1时,临界毛细雷诺数随着刘易斯数的增大而减小,流动失稳是由于溶质Marangoni效应的主导作用和流动的惯性共同作用的结果;而当刘易斯数小于1时,随着刘易斯数的增大,临界毛细雷诺数增大,流动失稳则是由于热Marangoni效应的主导作用和流动的惯性共同作用的结果.

参考文献

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