Nucleation and crystal growth kinetics during solidification: The role of crystallite withdrawal rate and external heat and mass sources / Alexandrov D. V. // CHEMICAL ENGINEERING SCIENCE. - 2014. - V. 117, l. . - P. 156-160.

ISSN/EISSN:

0009-2509 / 1873-4405

Type:

Article

Abstract:

A complete analytical solution of the integro-differential model describing the transient nucleation and growth of the crystals at the intermediate stage of phase transitions is constructed. The roles of external heat/mass sources appearing in the balance equations and the crystallite withdrawal rate entering in the Fokker-Planck equation are detailed. An exact analytical solution of the Folder-Planck equation is found for arbitrary nucleation mechanisms and growth kinetics. Two important cases of the Weber-Volmer-Frenkel-Zaclovich and Meirs kinetics are considered in some detail. A non-linear time dependent integral equation with memory kernel for the metastability level is analytically solved on the basis of the saddle point method for the Laplace integral in the case of mixed kinetic diffusion regime of crystal growth, which is of frequent occurrence. It is shown that the desupercooling/desupersaturation rate decreases with increasing the crystal withdrawal rate and intensities of external sources. The density distribution function becomes more and more broad with time. In addition, this function increases with decreasing the crystallite withdrawal rate and with increasing intensities of external sources. (C) 2014 Elsevier Ltd. All rights reserved.

Author keywords:

Phase transitions; Nucleation; Kinetics; Crystal growth INDUSTRIAL CRYSTALLIZATION; BATCH CRYSTALLIZATION; NONLINEAR EVOLUTION; INTERMEDIATE STAGE; INSTABILITY; CONVECTION; DYNAMICS; SIZE

DOI:

10.1016/j.ces.2014.06.012

Web of Science ID:

ISI:000340931800016

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	SEP 27
Publisher	PERGAMON-ELSEVIER SCIENCE LTD
Address	THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Language	English
EISSN	1873-4405
Keywords-Plus	INDUSTRIAL CRYSTALLIZATION; BATCH CRYSTALLIZATION; NONLINEAR EVOLUTION; INTERMEDIATE STAGE; INSTABILITY; CONVECTION; DYNAMICS; SIZE
Research-Areas	Engineering
Web-of-Science-Categories	Engineering, Chemical
Author-Email	Dmitri.Alexandrov@urfu.ru
ResearcherID-Numbers	Alexandrov, Dmitri/D-2516-2016
ORCID-Numbers	Alexandrov, Dmitri/0000-0002-6628-745X
Funding-Acknowledgement	Russian Foundation for Basic Research {[}13-01-96013-ural]
Funding-Text	This work was supported by the Russian Foundation for Basic Research under grant 13-01-96013-ural.
Number-of-Cited-References	27
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	19
Journal-ISO	Chem. Eng. Sci.
Doc-Delivery-Number	AN9MU