Mathematical modeling of the stationary nucleation and crystallization process in supersaturated systems with a crystallizer / Makoveeva E.V., Malygin A.P., Alexandrov D.V. // IOP Conference Series: Materials Science and Engineering. - 2017. - V. 192, l. 1.

ISSN:

17578981

Type:

Conference Paper

Abstract:

Motivated by important industrial applications we consider the growth prosess of solid particles in a supersaturated (supercooled) system with allowance for a crystallizer. The particle-radius distribution function satisfies the second order kinetic equation supplimented by different boundary conditions. An exact steady-state analytical solution is found. We show that two different types of analytical solutions for the kinetic equation exist. © Published under licence by IOP Publishing Ltd.

Author keywords:

Index keywords:

Distribution functions; Integral equations; Kinetic energy; Kinetic theory; Phase transitions; Crystallization process; Different boundary condition; Kinetic equations; Particle radii; Second order ki

DOI:

10.1088/1757-899X/192/1/012034

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85018414350&doi=10.1088%2f1757-899X%2f192%2f1%2f012034&partnerID=40&md5=fc28427d4f4cfcec3f6682d0b702220d

Соавторы в МНС:

Другие поля

Поле	Значение
Art. No.	012034
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85018414350&doi=10.1088%2f1757-899X%2f192%2f1%2f012034&partnerID=40&md5=fc28427d4f4cfcec3f6682d0b702220d
Affiliations	Ural Federal University, Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ekaterinburg, Russian Federation
Funding Details	1.9527.2017, Minobrnauka, Ministry of Education and Science of the Russian Federation; 16-08-00932, RFBR, Russian Foundation for Basic Research
Funding Text	This work was supported by the Russian Foundation for Basic Research (grant no. 16-08-00932) and the Ministry of Education and Science of the Russian Federation (project no. 1.9527.2017).
References	Buyevich Yu, A., Mansurov, V.V., Kinetics of the intermediate stage of phase transition in batch crystallization (1990) J. Cryst. Growth, 104 (4), pp. 861-867; Gardiner, C.W., (1983) Handbook on Stochastic Methods: For Physics, Chemistry and the Natural Sciences, 13. , (Berlin, Germany: Springer); Lifshitz, E.M., Pitaevskii, L.P., (1981) Physical Kinetics, , (New York, NY: Pergamon Press); Buyevich Yu, A., Alexandrov, D.V., Mansurov, V.V., (2001) Macrokinetics of Crystallization, , (New York, NY: Begell House); Kirkaldy, J.S., Young, D.J., (1987) Diffusion in the Condensed State, , (London, UK: Institute of Metals); Alexandrov, D.V., Malygin, A.P., Transient nucleation kinetics of crystal growth at the intermediate stade of bulk phase transitions (2013) J. Phys. A: Math. Theor., 46; Alexandrov, D.V., Nucleation and crystal growth kinetics during solidification: Tye role of crystallite withdrawal rate external heat and mass sources (2014) Chem. Eng. Sci., 117, pp. 156-160
Publisher	Institute of Physics Publishing
Conference name	International Conference on Structural and Phase Transformations in Materials: Theory, Computer Modelling and Experiment, SPTM 2017
Conference date	23 March 2017 through 27 March 2017
Conference code	127357
Language of Original Document	English
Abbreviated Source Title	IOP Conf. Ser. Mater. Sci. Eng.
Source	Scopus