Linear stability of the flat liquid/liquid interface in the forced flow

被引：2
|
作者：
Titova, Ekaterina A. [1 ]
Alexandrov, Dmitri V. [2 ]
机构：
[1] Ural Fed Univ, Lab Math Modeling Phys & Chem Proc Multiphase Medi, Lab Stochast Transport Nanoparticles Living Syst, Lenin Ave,51, Ekaterinburg 620000, Russia
[2] Ural Fed Univ, Dept Theoret & Math Phys, Lab Multiscale Math Modeling, Lab Stochast Transport Nanoparticles Living Syst, Lenin Ave,51, Ekaterinburg 620000, Russia
来源：
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2023年 / 232卷 / 08期
基金：
俄罗斯科学基金会;
关键词：
PATTERN SELECTION; DYNAMIC STABILITY; DENDRITIC GROWTH; MUSHY REGION; SOLIDIFICATION; INSTABILITY; NUCLEATION; CONVECTION; CRYSTALS; BEHAVIOR;
D O I：
10.1140/epjs/s11734-023-00822-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The boundary integral equation with convection is derived for the symmetric Langer and Turski phase transformation model (Langer in Acta Metall 25:1113-1119, 1977). A linear morphological stability of the planar interface in the moving melt is studied. The stationary solution, dispersion relation and neutral stability surface are obtained using the perturbation theory. The present theory extends the theory by Langer and Turski with allowance for the plane-parallel flow of one liquid relative to another one.
引用
收藏
页码：1141 / 1146
页数：6
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