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A theoretical approach for the interpretation of liquid metal surface tension measurements in the presence of oxygen

机译：在氧气存在下解释液态金属表面张力的理论方法

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摘要

Theoretical models describing the transport of oxygen in metal/atmosphere systems under different fluid dynamic conditions have been developed by different authors. In the present study, as in previous ones, the molecular diffusion is the process mainly controlling the exchange of mater between the liquid metal and the atmosphere. So, in this appear a diffusional model is proposed accounting for volatile oxides and for gas phase homogeneous reactions by means of two limiting conditions: instantaneous and null reactions. For the boundary conditions, the model assumes a bulk flow composition of the gas layer surrounding the liquid on the upper side and a local equilibrium constraint at the liquid interface. The asymptotic behavior of the system is described, enabling the prediction of the direction of the net oxygen flux. It has been demonstrated that the results obtained are valid for any type of homogeneous gas phase reactivity, provided that no oxide fog is formed in the gas. The model is useful to correctly guide technological processes such as single crystal growth: in the paper the application to the melt silicon/oxygen system is discussed. Finally, the present model can synthesize apparently contradictory experimental measurements of surface tension available in literature into a unique portrait.
机译：不同作者已经开发了描述氧在金属/大气系统中在不同流体动力学条件下的传输的理论模型。在本研究中，与以往一样，分子扩散是主要控制液态金属与大气之间物质交换的过程。因此，在这种情况下，提出了一种扩散模型，该模型考虑了挥发性氧化物和气相均相反应的两个极限条件：瞬时反应和无效反应。对于边界条件，该模型假设在上侧围绕液体的气体层的总体流量组成以及在液体界面处的局部平衡约束。描述了系统的渐近行为，从而能够预测净氧通量的方向。已经证明，所获得的结果对于任何类型的均相气相反应性都是有效的，只要在气体中不形成氧化雾即可。该模型可用于正确指导诸如单晶生长的工艺过程：在本文中，讨论了在熔融硅/氧系统中的应用。最后，本模型可以将表面上明显矛盾的表面张力的实验测量结果合成为唯一的肖像。

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