Mechanics of Solids (about journal) Mechanics of Solids
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IssuesArchive of Issues2020-1pp.124-131

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Total articles in the database: 4725
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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 2019Revised 30 September 2019Accepted 18 October 2019
Link to Fulltext https://link.springer.com/article/10.3103/S002565442001015X
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