Selection Criterion of Stable Dendritic Growth for a Ternary (Multicomponent) Melt with a Forced Convective Flow
A stable growth mode of a single dendritic crystal solidifying in an undercooled ternary (multicomponent) melt is studied with allowance for a forced convective flow. The steady-state temperature, solute concentrations and fluid velocity components are found for two- and three-dimensional problems....
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| Format: | Article |
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MDPI AG
2022-09-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/12/9/1288 |
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| author | Dmitri V. Alexandrov Sergei I. Osipov Peter K. Galenko Liubov V. Toropova |
| author_facet | Dmitri V. Alexandrov Sergei I. Osipov Peter K. Galenko Liubov V. Toropova |
| author_sort | Dmitri V. Alexandrov |
| collection | DOAJ |
| description | A stable growth mode of a single dendritic crystal solidifying in an undercooled ternary (multicomponent) melt is studied with allowance for a forced convective flow. The steady-state temperature, solute concentrations and fluid velocity components are found for two- and three-dimensional problems. The stability criterion and the total undercooling balance are derived accounting for surface tension anisotropy at the solid-melt interface. The theory under consideration is compared with experimental data and phase-field modeling for Ni<sub>98</sub>Zr<sub>1</sub>Al<sub>1</sub> alloy. |
| first_indexed | 2024-03-10T00:19:55Z |
| format | Article |
| id | doaj.art-7ca0749e4543438fb630791bef126ac7 |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-10T00:19:55Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-7ca0749e4543438fb630791bef126ac72023-11-23T15:44:37ZengMDPI AGCrystals2073-43522022-09-01129128810.3390/cryst12091288Selection Criterion of Stable Dendritic Growth for a Ternary (Multicomponent) Melt with a Forced Convective FlowDmitri V. Alexandrov0Sergei I. Osipov1Peter K. Galenko2Liubov V. Toropova3Laboratory of Multi-Scale Mathematical Modeling, Department of Theoretical and Mathematical Physics, Ural Federal University, Lenin Ave., 51, 620000 Ekaterinburg, RussiaInstitute of Natural Sciences and Mathematics, Ural Federal University, Lenin Ave., 51, 620000 Ekaterinburg, RussiaOtto-Schott-Institut für Materialforschung, Friedrich-Schiller-Universität-Jena, 07743 Jena, GermanyOtto-Schott-Institut für Materialforschung, Friedrich-Schiller-Universität-Jena, 07743 Jena, GermanyA stable growth mode of a single dendritic crystal solidifying in an undercooled ternary (multicomponent) melt is studied with allowance for a forced convective flow. The steady-state temperature, solute concentrations and fluid velocity components are found for two- and three-dimensional problems. The stability criterion and the total undercooling balance are derived accounting for surface tension anisotropy at the solid-melt interface. The theory under consideration is compared with experimental data and phase-field modeling for Ni<sub>98</sub>Zr<sub>1</sub>Al<sub>1</sub> alloy.https://www.mdpi.com/2073-4352/12/9/1288dendritesstable growthselection criterionsolvability theorymorphological stabilityforced convective flow |
| spellingShingle | Dmitri V. Alexandrov Sergei I. Osipov Peter K. Galenko Liubov V. Toropova Selection Criterion of Stable Dendritic Growth for a Ternary (Multicomponent) Melt with a Forced Convective Flow Crystals dendrites stable growth selection criterion solvability theory morphological stability forced convective flow |
| title | Selection Criterion of Stable Dendritic Growth for a Ternary (Multicomponent) Melt with a Forced Convective Flow |
| title_full | Selection Criterion of Stable Dendritic Growth for a Ternary (Multicomponent) Melt with a Forced Convective Flow |
| title_fullStr | Selection Criterion of Stable Dendritic Growth for a Ternary (Multicomponent) Melt with a Forced Convective Flow |
| title_full_unstemmed | Selection Criterion of Stable Dendritic Growth for a Ternary (Multicomponent) Melt with a Forced Convective Flow |
| title_short | Selection Criterion of Stable Dendritic Growth for a Ternary (Multicomponent) Melt with a Forced Convective Flow |
| title_sort | selection criterion of stable dendritic growth for a ternary multicomponent melt with a forced convective flow |
| topic | dendrites stable growth selection criterion solvability theory morphological stability forced convective flow |
| url | https://www.mdpi.com/2073-4352/12/9/1288 |
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