Mathematical modeling reveals kinetic parameters of oil extraction from sea buckthorn, suggesting optimization possibilities.
The paper presents the results of sea buckthorn fruit processing, at the first stage of which there have been extracted water-soluble components of the berry (juice), at the second stage – fat-soluble components (oil). Two successive methods of oil extraction from the fruit part of sea buckthorn are considered: pressing and extraction of raw materials. Cold-pressed oils from flesh and seeds and pressed plates of flesh and seed pulp were obtained by pressing. Extraction of residual oil from the pressed plates was carried out by extraction with hexane. In the process of extraction kinetic dependences of sea buckthorn oil concentration in flesh and seed pulp were obtained. By analogy with the method of regular mode for the study of thermal processes, a method of determining the mass-conductivity coefficient was proposed, which was tested by mathematical and physical modeling. The mass conductivity coefficients were determined from the kinetic dependences of sea buckthorn oil concentration in pulp by the method of regular mass transfer rate: at extraction of pressed pulp plates with hexane – 1.09·10 -8 m 2 /s and seed pulp – 5.65·10 -9 m 2 /s. The highest value of the mass conductivity coefficient is observed in the flesh pulp of sea buckthorn, characterized by high porosity. The results of mathematical modeling were obtained using the Python programming language environment. The calculated values of kinetic curves of sea buckthorn oil concentration in the pulp were determined. By solving the differential equations of heat and mass transfer under the given boundary conditions, dynamic curves were constructed. Statistical processing of modelling results using Fisher’s criterion testified the adequacy of the mathematical model of the process of sea buckthorn oil extraction from sea buckthorn products. The obtained data can be used for further mathematical modeling and optimization of regime parameters of the extraction process of sea buckthorn fruit part.
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Зиатдинова et al. (2025) studied this question.
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