Simulación del tiempo de extracción en función de la temperatura de proceso y de la microestructura del material vegetal

Naella Sandivel Valencia-Pérez; Genaro Iván Cerón-Montes; Aristeo Garrido-Hernández; Gabriela Carrillo-Sancen; Jorge Yañez-Fernández; Roberto Castro-Muñoz

doi:10.29057/icbi.v8iEspecial.6370

Naella Sandivel Valencia-Pérez Universidad Tecnológica de Tecámac https://orcid.org/0000-0003-1560-415X
Genaro Iván Cerón-Montes Universidad Tecnológica de Tecámac https://orcid.org/0000-0002-1111-0307
Aristeo Garrido-Hernández Universidad Tecnológica de Tecámac https://orcid.org/0000-0002-3706-7327
Gabriela Carrillo-Sancen Universidad Tecnológica de Tecámac https://orcid.org/0000-0002-2286-311X
Jorge Yañez-Fernández Instituto Politécnico Nacional https://orcid.org/0000-0001-7467-7485
Roberto Castro-Muñoz Tecnológico de Monterrey Campus Toluca https://orcid.org/0000-0002-7657-3302

DOI: https://doi.org/10.29057/icbi.v8iEspecial.6370

Keywords: Extraction, modeling, metabolites, Fick's second law

Abstract

Solid-liquid extraction from plant sources is a widely used bioseparation for obtaining organic substances of interest in the food, pharmaceutical, and cosmetic industries. In the present work, the extraction operation with the solved Simpson model was studied by fractional calculation of the anomalous diffusion expression of Fick's second law to study the effect of microstructure and temperature on extraction behavior and time of extraction. The determination of this time is of great importance for the process since if it’s not reached, the yield obtained from the vegetable source decreases and if it’s higher, it reduces its profitability, for this a novel numerical method was proposed that defines the extraction time one in which there is a marked change in the extraction speed. The simulation was carried out with Matlab and the parameters of the model that represent the effect of the microstructure (n) and the effect of temperature (k) were individually and combined in a range of 80% to 120% of their initial value. The adjustment of the experimental data to the Simpson model presented an R2 of 0.998, while the evaluation of the parameter k (temperature) showed to have less consequence in the behavior and extraction time than the parameter n (microstructure) which presented extraction times of 507.8 to 14.5 min. and from 79.3 to 46.6 min. for n and k respectively. The results of the simulation were consistent with those observed in biomaterials with clearly different structures such as those of seeds and fruits processed at different temperatures, so the proposed numerical methods can be a useful tool in this bioseparation.

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