Solidification and separation in saline water

Solidification and separation in saline water
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在盐水中固化和分离

DOI:
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发表时间:
2015
期刊:
影响因子:
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通讯作者:
A. Morro
A. Morro
中科院分区:
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作者:
M. Fabrizio;C. Giorgi;A. Morro

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受盐水通道形成的启发,本文致力于盐水中盐分离和相变的连续介质模型。质量密度以及盐和冰的浓度是描述盐水的相关变量。因此,考虑单一成分(盐、水、冰)的质量平衡。 为了使模型尽可能简单,将混合物作为一个整体考虑动量和能量的平衡。然而,由于混合物的内部结构, 除了热通量之外,还允许出现额外的能量通量。此外,允许混合物是粘稠的。除了拉伸张量以及温度和浓度梯度之外,本构方程还涉及对温度、混合物的质量密度、盐浓度和冰浓度的依赖性。 单一成分的质量平衡最终得出浓度的演化方程。建立了一整套与热力学相适应的本构方程。给出了自由能函数,可以捕获盐水冻结期间发生的主要特征。也就是说,盐被截留在小区域(盐水通道)中,其中低温效应禁止完全形成冰。
Motivated by the formation of brine channels, this paper is devoted to a continuum model for salt separation and phase transition in saline water. The mass density and the concentrations of salt and ice are the pertinent variables describing saline water. Hence the balance of mass is considered for the single constituents (salt, water, ice). To keep the model as simple as possible, the balance of momentum and energy are considered for the mixture as a whole. However, due to the internal structure of the mixture, an extra-energy flux is allowed to occur in addition to the heat flux. Also, the mixture is allowed to be viscous. The constitutive equations involve the dependence on the temperature, the mass density of the mixture, the salt concentration and the ice concentration, in addition to the stretching tensor, and the gradient of temperature and concentrations. The balance of mass for the single constituents eventually result in the evolution equations for the concentrations. A whole set of constitutive equations compatible with thermodynamics are established. A free energy function is given which allows for capturing the main feature which occurs during the freezing of the salted water. That is, the salt entrapment in small regions (brine channels) where the cryoscopic effect forbids complete ice formation.
模拟海冰中盐水通道的形态发生
DOI: 10.1103/physreve.81.036106
发表时间: 2011
期刊: Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子: --
作者:
B. Kutschan;K. Morawetz;S. Gemming
通讯作者: S. Gemming