Mathematical Modeling of a Mushy Layer at the Inner Core Boundary of the Earth. Part 1. Analytical Solutions

被引：1

作者：

Alexandrov, D. V. ^{[1
]}

Malygin, A. P. ^{[1
]}

Alexandrova, I. V. ^{[1
]}

机构：

[1] Ural Fed Univ, Dept Math Phys, Lab Multiscale Math Modeling, Ekaterinburg 620000, Russia

来源：

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) | 2015年 / 1648卷

关键词：

Mushy layer; crystal growth; dendrites; DIRECTIONAL SOLIDIFICATION; NONLINEAR DYNAMICS; CHIMNEY FORMATION; CONVECTION; CRYSTALLIZATION; INSTABILITY; ENERGETICS; STABILITY; EVOLUTION; HEAT;

D O I：

10.1063/1.4913157

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Governing equations describing a convective mushy layer near the inner core boundary of the Earth are solved analytically in the case of arbitrary heat and mass transfer coefficients. A complete steady-state solution is found in terms of the bulk fraction of the solid phase in a mushy layer.

引用

页数：4

共 41 条

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Alexandrov, D. V. ;

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COMPUTATIONAL MATERIALS SCIENCE, 2006, 37 (1-2) :1-6

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Alexandrov, D. V. ;

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PHYSICS OF THE EARTH AND PLANETARY INTERIORS, 2011, 189 (3-4) :134-141

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Alexandrov, D. V. ;

Malygin, A. P. .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2011, 54 (5-6) :1144-1149

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JOURNAL OF CRYSTAL GROWTH, 2000, 210 (04) :797-810

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ACTA PHYSICA POLONICA A, 2009, 115 (04) :791-794

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