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

Author:

Raimundini Aranha Ana Caroline1ORCID,Oliveira Defendi Rafael2,Sérgi Gomes Maria Carolina2,Sipoli Caroline Casagrande2,Nardino Danielli Andrea2,Oliveira Vitor Viganô3,Rosalém Marcelo de Jesus Corte3,Suzuki Rúbia Michele2

Affiliation:

1. Department of Chemical Engineering State University of Maringá (UEM) Maringá Brazil

2. Postgraduate Program in Chemical Engineering (PPGEQ‐AP) Federal Technological University of Paraná (UTFPR) Apucarana Brazil

3. Federal Technological University of Paraná (UTFPR) Apucarana Brazil

Abstract

AbstractBACKGROUNDThis 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.RESULTSRegarding the drying process, it was found that the model that best suited the two drying temperatures employed was the fractional order one.CONCLUSIONAnalysis 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).

Publisher

Wiley

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