 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| V.B. Kurasov, "Approximate Methods for Constructing a Solution of Balance Equation with a Known Number of Nuclei of a New Phase in the Kinetics of First-Order Phase Transitions," Mech. Solids. 55 (1), 124-131 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
1 |
Pages |
124-131 |
| DOI |
10.3103/S002565442001015X |
| Title |
Approximate Methods for Constructing a Solution of Balance Equation with a Known Number of Nuclei of a New Phase in the Kinetics of First-Order Phase Transitions |
| Author(s) |
V.B. Kurasov (St. Petersburg State University, St. Petersburg, 199034 Russia, victor_kurasov@yahoo.com) |
| Abstract |
A reasonably accurate solution of the balance equation for a substance is obtained for a predetermined number of nuclei of a new phase in the nucleation kinetics. This solution is necessary for the adequate description of secondary nucleation and accurate determination of the number of nuclei of a new phase. The approximation is constructed by studying the characteristic properties of the solution at various stages of evolution. In particular, iterations, quadratic approximation, asymptotic formula, relaxation solution, and deformed relaxation are constructed. As a result, a solution that is accurate for the time intervals up to the beginning of precondensation is obtained. |
| Keywords |
nucleation, supersaturation, secondary nucleation |
| Received |
25 September 2019 | Revised |
30 September 2019 | Accepted |
18 October 2019 |
| Link to Fulltext |
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