Unsteady, steady, and self-oscillatory modes of the bulk continuous crystallization with mass influx and withdrawal of product crystals

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Unsteady, steady, and self-oscillatory modes of the bulk continuous crystallization with mass influx and withdrawal of product crystals. / Makoveeva, Eugenya V.; Alexandrov, Dmitri v.
In: European Physical Journal: Special Topics, Vol. 232, No. 8, 2023, p. 1199-1205.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{64d3003367ac481faabc7b1d36fffb93,

title = "Unsteady, steady, and self-oscillatory modes of the bulk continuous crystallization with mass influx and withdrawal of product crystals",

abstract = "This paper is devoted to the study of operating modes of the crystallizer with allowance for the processes of nucleation and evolution of particles, removal of product crystals, and fines dissolution. The stationary and non-stationary analytical solutions describing various crystallization scenarios are derived. We show that the unsteady-state distributions of crystals approach their stationary distribution over time. In addition, the linear analysis of dynamic instability shows that the regions of oscillatory instability and absolute stability exist. These regions are divided by the neutral stability curve dependent of the physical parameters of crystallization process. We show that the oscillatory instability domain becomes wider when increasing the nucleation and growth rate constants. As a result, the process of volumetric crystallization under consideration can operate in a mode of self-oscillations sustained by a feedback between the nucleation rate and the process driving force (supersaturation). {\textcopyright} 2023, The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature.",

author = "Makoveeva, {Eugenya V.} and Alexandrov, {Dmitri v.}",

note = "This study was financially supported by the Russian Science Foundation (Project no. 22-79-00141).",

year = "2023",

doi = "10.1140/epjs/s11734-023-00852-2",

language = "English",

volume = "232",

pages = "1199--1205",

journal = "European Physical Journal: Special Topics",

issn = "1951-6355",

publisher = "Springer",

number = "8",

}

RIS

TY - JOUR

T1 - Unsteady, steady, and self-oscillatory modes of the bulk continuous crystallization with mass influx and withdrawal of product crystals

AU - Makoveeva, Eugenya V.

AU - Alexandrov, Dmitri v.

N1 - This study was financially supported by the Russian Science Foundation (Project no. 22-79-00141).

PY - 2023

Y1 - 2023

N2 - This paper is devoted to the study of operating modes of the crystallizer with allowance for the processes of nucleation and evolution of particles, removal of product crystals, and fines dissolution. The stationary and non-stationary analytical solutions describing various crystallization scenarios are derived. We show that the unsteady-state distributions of crystals approach their stationary distribution over time. In addition, the linear analysis of dynamic instability shows that the regions of oscillatory instability and absolute stability exist. These regions are divided by the neutral stability curve dependent of the physical parameters of crystallization process. We show that the oscillatory instability domain becomes wider when increasing the nucleation and growth rate constants. As a result, the process of volumetric crystallization under consideration can operate in a mode of self-oscillations sustained by a feedback between the nucleation rate and the process driving force (supersaturation). © 2023, The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature.

AB - This paper is devoted to the study of operating modes of the crystallizer with allowance for the processes of nucleation and evolution of particles, removal of product crystals, and fines dissolution. The stationary and non-stationary analytical solutions describing various crystallization scenarios are derived. We show that the unsteady-state distributions of crystals approach their stationary distribution over time. In addition, the linear analysis of dynamic instability shows that the regions of oscillatory instability and absolute stability exist. These regions are divided by the neutral stability curve dependent of the physical parameters of crystallization process. We show that the oscillatory instability domain becomes wider when increasing the nucleation and growth rate constants. As a result, the process of volumetric crystallization under consideration can operate in a mode of self-oscillations sustained by a feedback between the nucleation rate and the process driving force (supersaturation). © 2023, The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85160250532

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000994481000003

U2 - 10.1140/epjs/s11734-023-00852-2

DO - 10.1140/epjs/s11734-023-00852-2

M3 - Article

VL - 232

SP - 1199

EP - 1205

JO - European Physical Journal: Special Topics

JF - European Physical Journal: Special Topics

SN - 1951-6355

IS - 8

ER -

ID: 41543457