Affiliation:
1. Voronezh State University of Engineering Technologies
2. CJSC Engineering systems of automation
3. K.G. Razumovsky Moscow State University of Technologies and Management
Abstract
Introduction. The present research featured industrial sugar crystallization. The article introduces a generalized mathematical model of specific growth rate of sugar crystals depending on temperature, solids, and the purity of solution, as well as on the concentration and average size of crystals. The model includes the probabilistic component of growth rate of monocrystals and the reduced adjustment of the constrained crystal growth depending on the abovementioned as-pects.
Study objects and methods. The research focused on mass crystallization of sucrose, including the growth rate of monocrystals and the number of crystals in the fill mass. The obtained experimental data were processed using nonlinear programming.
Results and discussion. 421 experiments made it possible to develop a probabilistic mathematical model of specific mass growth rate of sugar monocrystals and its dependence on the solution temperature, purity, and solids content. Model error: ± 11.3%. The model covers the temperature range, concentration of solids, and purity of the solution. The proximity of crystals was calculated according to the dependence of the growth rate on their concentration and the average size (error: ± 1.3%). The adjustment range: concentration of crystals = 5–60%, average size = 0.25–1.50 mm.
Conclusion. The present generalized mathematical model of crystallization considered the temperature, as well as the purity and solids content in the fill mass, the concentration of sucrose crystals and their average size. The research compared the effect of linear size and concentration of sugar monocrystals on the calculated and experimental sizes of specific mass growth rate and the dimensionless adjustment of growth rate. The calculated sizes proved to be close to the ex-perimental data, which showed adequacy to the developed crystallization model. The research results can be used to optimize the process of mass sugar crystallization.
Publisher
Kemerovo State University
Subject
Industrial and Manufacturing Engineering,Economics, Econometrics and Finance (miscellaneous),Food Science
Reference43 articles.
1. Experimental data and estimation of sucrose solubility in impure solutions / C. E. Crestani, A. Bernardo, C. B. B. Costa [et al.] // Journal of Food Engineering. – 2018. – Vol. 218. – P. 14–23. https://doi.org/10.1016/j.jfoodeng.2017.08.023., Crestani CE, Bernardo A, Costa CBB, Giulietti M. Experimental data and estimation of sucrose solubility in impure solutions. Journal of Food Engineering. 2018;218:14–23. https://doi.org/10.1016/j.jfoodeng.2017.08.023.
2. Maria, I. Z. The mechanism of crystal growth in solution [Mecanismul crester cristalelor din solutie] / I. Z. Maria // Physics Studies and Research [Studii si Cercetari de Fizica]. – 1980. – Vol. 32, № 1. – P. 77–93. (In Rom.)., Maria IZ. The mechanism of crystal growth in solution [Mecanismul crester cristalelor din solutie] Physics Studies and Research [Studii si Cercetari de Fizica]. 1980;32(1):77–93. (In Rom.).
3. Poel, P. W. Sugar technology: beet and cane sugar manufacture / P. W. Poel, H. Schiweck, T. K. Schwartz. – Berlin : Verlag Dr Albert Bartens KG, 1998. – 1120 p. https://doi.org/10.36961/ST., Poel PW, Schiweck H, Schwartz TK. Sugar technology: beet and cane sugar manufacture. Berlin: Verlag Dr Albert Bartens KG; 1998. 1120 p. https://doi.org/10.36961/ST.
4. Khvorova, L. S. Glucose nucleation in the presence of surface active agents / L. S. Khvorova, N. D. Lukin, L. V. Baranova // Foods and Raw Materials. – 2018. – Vol. 6, № 1. – P. 219–229. https://doi.org/10.21603/2308-4057-2018-1-219-229., Khvorova LS, Lukin ND, Baranova LV. Glucose nucleation in the presence of surface active agents. Foods and Raw Materials. 2018;6(1):219–229. https://doi.org/10.21603/2308-4057-2018-1-219-229.
5. Петров, С. М. Вероятностная модель включения несахаров в растущие кристаллы сахара / С. М. Петров, Д. В. Арапов, В. А. Курицын // Сахар. – 2011. – № 8. – С. 34–38., Petrov SM, Arapov DV, Kuritsyn VA. Veroyatnostnaya modelʹ vklyucheniya nesakharov v rastushchie kristally sakhara [Probabilistic model of the inclusion of non-sugars in growing sugar crystals]. Sugar. 2011;(8):34–38. (In Russ.).
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