基于吉布斯最小自由能原理，建立了铜闪速熔炼过程的多相平衡数学模型。

Multiphase equilibrium mathematical model for the copper flash smelting process is established based on the Gibbs principle of minimum free energy.

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基于吉布斯最小自由能原理，建立了铜闪速熔炼过程的多相平衡数学模型。

Procedures for the multiphase equilibrium calculation are generally based on Gibbs free energy minimization or equation-solving methods.

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随着铜闪速熔炼过程指标要求的提高，对铜闪速熔炼过程进行数值分析与优化就显得日趋重要。

With the development of flash smelting, it shows more and more importance of the numerical analysis and optimization of flash furnace.

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