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.
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页数：4
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