On the theory of directional crystallization with a two-phase region with vigorous convection

被引：0
|
作者：
Dmitri V. Alexandrov
Nikita K. Goltyakov
Alexander A. Ivanov
Irina V. Alexandrova
机构：
[1] Laboratory of Multi-Scale Mathematical Modeling,Department of Theoretical and Mathematical Physics
[2] Ural Federal University,undefined
[3] Sirius University of Science and Technology,undefined
来源：
The European Physical Journal Special Topics | 2020年 / 229卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A time-dependent process of directional crystallization with a two-phase (mushy) region with allowance for vigorous convection in the liquid phase is analytically described. An exact solution of non-linear mushy layer equations is found in a parametric form. The temperature and solute concentration distributions, as well as the solid phase fraction profile, are determined in the two-phase and liquid regions. The moving boundary of phase transition, which is placed between the two-phase zone and liquid is defined as a function of time. The present analytical solutions are in good agreement with laboratory experiments on ice grown from aqueous solutions of isopropanol.
引用
收藏
页码：2951 / 2959
页数：8
相关论文
共 50 条
  • [1] On the theory of directional crystallization with a two-phase region with vigorous convection
    Alexandrov, Dmitri V.
    Goltyakov, Nikita K.
    Ivanov, Alexander A.
    Alexandrova, Irina V.
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2020, 229 (19-20): : 2951 - 2959
  • [2] The Role of a Two-Phase Region in Directional Crystallization of Binary Liquids
    Alexandrov, Dmitri V.
    Alexandrova, Irina V.
    Ivanov, Alexander A.
    Toropova, Liubov V.
    MATHEMATICS, 2024, 12 (14)
  • [3] Analytical Description of Directional Crystallization with Two-Phase Regions
    Alexandrova, Irina V.
    Ivanov, Alexandr A.
    Alexandrov, Dmitri V.
    INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2018), 2018, 1997
  • [4] Directional crystallization of a two-phase region with a mixed conductive-convective heat and mass transport
    Makoveeva, Eugenya V.
    Alexandrov, Dmitri V.
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2024, : 3309 - 3320
  • [5] Towards a Theory of Directional Solidification in the Presence of a Two-Phase Zone with Intense Convection in a Liquid Layer
    Alexandrov, Dmitri V.
    Goltyakov, Nikita K.
    Ivanov, Alexander A.
    INTERNATIONAL CONFERENCE ON TRENDS IN MATERIAL SCIENCE AND INVENTIVE MATERIALS (ICTMIM 2020), 2020, 2259
  • [6] Phase field crystal study of the crystallization modes within the two-phase region
    Yang Tao
    Zhang Jing
    Long Jian
    Long Qing-Hua
    Chen Zheng
    CHINESE PHYSICS B, 2014, 23 (08)
  • [7] Phase field crystal study of the crystallization modes within the two-phase region
    杨涛
    张静
    龙建
    龙清华
    陈铮
    Chinese Physics B, 2014, (08) : 576 - 582
  • [8] On the Theory of Directional Solidification of a Binary Melt with Convection in the Presence of a Phase Transition Region
    Alexandrova, Irina V.
    Ivanov, Alexander A.
    THIRD INTERNATIONAL CONFERENCE ON INVENTIVE MATERIAL SCIENCE APPLICATIONS (ICIMA 2020), 2020, 2281
  • [9] Plate generation and two-phase damage theory in a model of mantle convection
    Landuyt, W.
    Bercovici, D.
    Ricard, Y.
    GEOPHYSICAL JOURNAL INTERNATIONAL, 2008, 174 (03) : 1065 - 1080
  • [10] On the theory of the formation of the two-phase concentration-supercooling region
    D. V. Alexandrov
    Doklady Physics, 2003, 48 : 481 - 486
12345