Permeability tensor for columnar dendritic structures: Phase-field and lattice Boltzmann study
Permeability tensor for columnar dendritic structures: Phase-field and lattice Boltzmann study
复制标题
柱状树突结构的磁导率张量：相场和晶格玻尔兹曼研究
DOI：
10.1016/j.actamat.2020.02.016
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发表时间：
2020
期刊：
影响因子：
9.4
通讯作者：
Ohno Munekazu
中科院分区：
文献类型：
--
作者：
Mitsuyama Yasumasa;Takaki Tomohiro;Sakane Shinji;Shibuta Yasushi;Ohno Munekazu
渗透率是一个非常重要的多尺度参数，它提供了铸造凝固过程中枝晶组织的宏观模拟信息。在我们以前的研究中，它被证明是垂直于柱状树枝状结构的液体流动的渗透率可以很好地近似Kozeny-Carman（KC）方程与coefficientkc= 9。在这项研究中，渗透性的液体流动平行于柱状树枝状结构的研究使用相场和格子玻尔兹曼模拟相结合的方法。结果表明，平行流的渗透率也可用KC方程近似，其中kc = 3。一个渗透率张量，然后提出了一个柱状树枝状结构。的渗透率张量的有效性被证实在任意方向的柱状树枝状结构的液体流动的模拟。
Permeability is a very important multiscale parameter providing information of dendritic structures in macroscale simulations of solidification with liquid flow during casting. In our previous study, it was demonstrated that the permeability of liquid flow normal to a columnar dendritic structure can be well approximated by the Kozeny–Carman (KC) equation with a coefficientkc= 9. In this study, the permeability of liquid flow parallel to a columnar dendritic structure is investigated using a method that combines both phase–field and lattice Boltzmann simulations. It is shown that the permeability of parallel flow can also be approximated by the KC equation withkc= 3. A permeability tensor is then proposed for a columnar dendritic structure. Validity of the permeability tensor is confirmed by simulations of liquid flow in arbitrary directions of a columnar dendritic structure.