Mathematical modeling of the drying and oil extraction processes of passion fruit seeds using fractional calculus

IF 2.8 4区生物学 Q3 BIOTECHNOLOGY & APPLIED MICROBIOLOGY Journal of chemical technology and biotechnology Pub Date : 2024-05-21 DOI:10.1002/jctb.7682

Ana Caroline Raimundini Aranha, Rafael Oliveira Defendi, Maria Carolina Sérgi Gomes, Caroline Casagrande Sipoli, Danielli Andrea Nardino, Vitor Viganô Oliveira, Marcelo de Jesus Corte Rosalém, Rúbia Michele Suzuki

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Abstract

BACKGROUND

This article aims to fit kinetic models of the passion fruit seed drying process, in addition to mathematical modeling using traditional models and fractional calculus of the extraction of lipids from the seeds.

RESULTS

Regarding the drying process, it was found that the model that best suited the two drying temperatures employed was the fractional order one.

CONCLUSION

Analysis showed that for both drying conditions the value of parameter α was greater than 1, indicating that the profile that occurs for the seeds is superdiffusion. Regarding the mathematical fits of oil extraction, it was found that the two models that presented the best fits for the lipid extraction kinetics were hyperbolic and fractional order. Regarding the fractional order model, as the value of parameter α was lower than 1, it can be seen that the process again does not follow Fick's law, and in this case a subdiffusion process occurs. © 2024 Society of Chemical Industry (SCI).

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利用分数微积分建立百香果种子干燥和榨油过程的数学模型

本文旨在拟合百香果种子干燥过程的动力学模型，此外还利用传统模型和分式微积分建立了从种子中提取脂质的数学模型。分析表明，在两种干燥条件下，参数 α 的值都大于 1，这表明种子发生的剖面是超扩散。关于油脂萃取的数学拟合，发现双曲线和分数阶这两个模型对脂质萃取动力学的拟合效果最好。关于分数阶模型，由于参数 α 的值小于 1，可以看出该过程又不遵循菲克定律，在这种情况下出现了亚扩散过程。© 2024 化学工业学会（SCI）。

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来源期刊

Journal of chemical technology and biotechnology 工程技术-工程：化工

CiteScore

7.00

自引率

5.90%

发文量

268

审稿时长

1.7 months

期刊介绍： Journal of Chemical Technology and Biotechnology(JCTB) is an international, inter-disciplinary peer-reviewed journal concerned with the application of scientific discoveries and advancements in chemical and biological technology that aim towards economically and environmentally sustainable industrial processes.