Permeability tensor for columnar dendritic structures: Phase-field and lattice Boltzmann study

被引：26

作者：

Mitsuyama, Yasumasa ^{[1
]}

Takaki, Tomohiro ^{[2
]}

Sakane, Shinji ^{[1
]}

Shibuta, Yasushi ^{[3
]}

Ohno, Munekazu ^{[4
]}

机构：

[1] Kyoto Inst Technol, Grad Sch Sci & Technol, Sakyo Ku, Kyoto 6068585, Japan

[2] Kyoto Inst Technol, Fac Mech Engn, Sakyo Ku, Kyoto 6068585, Japan

[3] Univ Tokyo, Dept Mat Engn, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1138656, Japan

[4] Hokkaido Univ, Fac Engn, Div Mat Sci & Engn, Kita Ku, Kita 13 Nishi 8, Sapporo, Hokkaido 0608628, Japan

来源：

ACTA MATERIALIA | 2020年 / 188卷

关键词：

Permeability; Cell and dendrite; Directional solidification; Phase-field method; Computer simulations; DIRECTIONAL SOLIDIFICATION; INTERDENDRITIC LIQUID; FLOW; SIMULATIONS; CONVECTION; MACROSEGREGATION;

D O I：

10.1016/j.actamat.2020.02.016

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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 coefficient k(c) = 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 with k(c) = 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. (C) 2020 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.

引用

页码：282 / 287

页数：6

共 28 条

[1] Modelling of future needs macrosegregation: applications and future needs [J].

Beckermann, C .

INTERNATIONAL MATERIALS REVIEWS, 2002, 47 (05) :243-261

[2] Modeling melt convection in phase-field simulations of solidification [J].

Beckermann, C ;

Diepers, HJ ;

Steinbach, I ;

Karma, A ;

Tong, X .

JOURNAL OF COMPUTATIONAL PHYSICS, 1999, 154 (02) :468-496

[3] Cross-Permeability of the Semisolid Region in Directional Solidification: A Combined Phase-Field and Lattice-Boltzmann Simulation Approach [J].

Boettger, B. ;

Haberstroh, C. ;

Giesselmann, N. .

JOM, 2016, 68 (01) :27-36

[4]

Carman P.C., 1956, FLOW GASES POROUS ME

[5] Simulation of convection and ripening in a binary alloy mush using the phase-field method [J].

Diepers, HJ ;

Beckermann, C ;

Steinbach, I .

ACTA MATERIALIA, 1999, 47 (13) :3663-3678

[6] Our understanding of macrosegregation: Past and present [J].

Flemings, MC .

ISIJ INTERNATIONAL, 2000, 40 (09) :833-841

[7] Convection modeling in directional solidification [J].

Heinrich, JC ;

Poirier, DR .

COMPTES RENDUS MECANIQUE, 2004, 332 (5-6) :429-445

[8]

LIU CY, 1989, MATER SCI TECH SER, V5, P1148, DOI 10.1179/026708389790340987

[9] 3D Lattice Boltzmann flow simulations through dendritic mushy zones [J].

Ludwig, A. ;

Kharicha, A. ;

Hoelzl, C. ;

Domitner, J. ;

Wu, M. ;

Pusztai, T. .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2014, 45 :29-35

[10] FLUID-FLOW IN INTERDENDRITIC SPACE IN CUBIC ALLOYS [J].

MURAKAMI, K ;

SHIRAISHI, A ;

OKAMOTO, T .

ACTA METALLURGICA, 1984, 32 (09) :1423-1428

← 1 2 3 →