Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/118330
Title: Approximate analytical solution of the integro-differential model of bulk crystallization in a metastable liquid with mass supply (heat dissipation) and crystal withdrawal mechanism
Authors: Nizovtseva, I. G.
Ivanov, A. A.
Alexandrova, I. V.
Issue Date: 2022
Publisher: John Wiley and Sons Ltd
Citation: Nizovtseva I. G. Approximate analytical solution of the integro-differential model of bulk crystallization in a metastable liquid with mass supply (heat dissipation) and crystal withdrawal mechanism / I. G. Nizovtseva, A. A. Ivanov, I. V. Alexandrova // Mathematical Methods in the Applied Sciences. — 2022. — Vol. 45. — Iss. 13. — P. 8170-8178.
Abstract: This paper deals with an approximate analytical solution of an integro-differential model describing nucleation and growth of particles. The model includes a thermal-mass exchange with the environment and the removal of product crystals from a metastable medium. The method developed for solving model equations (kinetic equation for the particle-size distribution function and balance equations for temperature/impurity concentration) is based on the saddle point technique for calculating the Laplace-type integral. We show that the metastability degree decreases with time at a fixed mass (heat) flux. The crystal-size distribution function is an irregular bell-shaped curve increasing with the intensification of heat and mass exchange. © 2022 John Wiley & Sons, Ltd.
Keywords: APPLIED MATHEMATICAL MODELING
CRYSTAL GROWTH
INTEGRO-DIFFERENTIAL EQUATIONS
METASTABILITY REMOVAL
PARTICULATE ASSEMBLAGES
ANALYTICAL MODELS
CRYSTALS
DISTRIBUTION FUNCTIONS
INTEGRAL EQUATIONS
PARTICLE SIZE
PARTICLE SIZE ANALYSIS
APPROXIMATE ANALYTICAL SOLUTIONS
BULK CRYSTALLIZATION
DIFFERENTIAL MODELS
GROWTH OF PARTICLES
MASS-EXCHANGE
METASTABLE LIQUID
METASTABLES
NUCLEATION AND GROWTH
PRODUCT CRYSTALS
THERMAL MASS
SIZE DISTRIBUTION
URI: http://hdl.handle.net/10995/118330
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85123633132
ISSN: 1704214
DOI: 10.1002/mma.8112
metadata.dc.description.sponsorship: Russian Science Foundation, RSF: 19-71-10044
This work was supported by the Russian Science Foundation (project no. 19-71-10044).
RSCF project card: 19-71-10044
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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