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- Title
Mathematical modeling of the drying and oil extraction processes of passion fruit seeds using fractional calculus.
- Authors
Raimundini Aranha, Ana Caroline; Oliveira Defendi, Rafael; Sérgi Gomes, Maria Carolina; Sipoli, Caroline Casagrande; Nardino, Danielli Andrea; Oliveira, Vitor Viganô; Rosalém, Marcelo de Jesus Corte; Suzuki, Rúbia Michele
- 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).
- Subjects
SOCIETY of Chemical Industry (Great Britain); FRUIT seeds; FRACTIONAL calculus; PASSION fruit; MATHEMATICAL models; FRUIT processing
- Publication
Journal of Chemical Technology & Biotechnology, 2024, Vol 99, Issue 8, p1800
- ISSN
0268-2575
- Publication type
Article
- DOI
10.1002/jctb.7682