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Mathematical Model of Mother Liquor Deposition in Industrial Sugar

Article

Last updated: 01 Jan 2025

Subjects

-

Tags

Physical chemistry

Abstract

In this article, an object of a research is the mechanism of incorporation of mother liquor components in the growing crystals of sucrose and establishment of the dependence allowing to estimate quantitatively inclusion of components of the mother liquor in industrial crystals of granulated sugar. Water and a complex of not sugars are considered as components of sugar solution. To date, experimental estimates of the inclusions of various non-sugars in sugar crystals have been accumulated, and a qualitative and quantitative analysis of impurities in crystals have been made, which showed that the number of inclusions depends on the purity of the crystallized solution, the rate of crystallization, the hydrodynamic situation in the apparatus, temperature and concentration fields, the viscosity of the solution, and other factors. These factors are mainly due to the technological regime of the crystallization process, and understanding the degree of their influence on the inclusion of impurities allows authors to minimize the capture of non-sugars by growing crystals. It is shown that the inclusion of non-sugars occurs mainly during the formation of crystals and their subsequent growth at a high supersaturation coefficient. However, the available data is not sufficient to identify and formalize all the laws of this rather complex phenomenon. At this stage, it is more appropriate to use the mathematical methods of probabilistic interpretation. The purpose of the study was a creation of a mathematical model that could be used to estimate the amount of components of the masterbatch solution (non-sugar and water) passing from solution to crystal, depending on the supersaturation of the solution, its temperature, viscosity, purity, and dry matter content. Based on the probability theory, a mathematical model of the deposition of the mother liquor in industrial crystals of granulated sugar has been developed. The mother liquor includes water in which sucrose and a complex of non-sugars are dissolved. Some of the non-sugars and water can be trapped by the growing crystal. The model allows you to calculate the amount of non-sugars and water that have passed into the sucrose crystal during its growth. The average relative error of the model is 8-10%.

DOI

10.21608/ejchem.2022.107969.4936

Keywords

mathematical model, multicomponent solution, sugar crystal, non-sugar, mother liquor

Authors

First Name

D.V.

Last Name

Arapov

MiddleName

-

Affiliation

Department of Higher Mathematics and Information Technologies, Voronezh State University of Engineering Technologies, Voronezh, Russia

Email

191836@mail.ru

City

-

Orcid

-

First Name

A.V.

Last Name

Skrypnikov

MiddleName

-

Affiliation

Department of Information Security, Voronezh State University of Engineering Technologies, Voronezh, Russian Federation

Email

skrypnikov.a.v@mail.ru

City

-

Orcid

-

First Name

V.V.

Last Name

Denisenko

MiddleName

-

Affiliation

Department of Higher Mathematics and Information Technologies, Voronezh State University of Engineering Technologies, Voronezh, Russian Federation

Email

denisenko-v-n@mail.ru

City

-

Orcid

-

First Name

I.A.

Last Name

Vysotskaya

MiddleName

-

Affiliation

Faculty of Management and Informatics in Technological Systems, Voronezh State University of Engineering Technologies, Voronezh, Russia

Email

irina.al.vysotskaya@yandex.ru

City

-

Orcid

-

First Name

M.A.

Last Name

Zaitseva

MiddleName

-

Affiliation

Department of Higher Mathematics and Information Technologies, Voronezh State University of Engineering Technologies, Voronezh, Russian Federation

Email

a.a_zaytseva@mail.ru

City

-

Orcid

-

Volume

65

Article Issue

11

Related Issue

35761

Issue Date

2022-11-01

Receive Date

2021-11-25

Publish Date

2022-11-01

Page Start

97

Page End

103

Print ISSN

0449-2285

Online ISSN

2357-0245

Link

https://ejchem.journals.ekb.eg/article_222726.html

Detail API

https://ejchem.journals.ekb.eg/service?article_code=222726

Order

11

Type

Original Article

Type Code

297

Publication Type

Journal

Publication Title

Egyptian Journal of Chemistry

Publication Link

https://ejchem.journals.ekb.eg/

MainTitle

Mathematical Model of Mother Liquor Deposition in Industrial Sugar

Details

Type

Article

Created At

22 Jan 2023