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Solid-liquid extraction from plant sources is a widely used bioseparation for obtaining organic substances of interest in the chemical, food, pharmaceutical, and cosmetic industries. In the present work, the simulation of the effect of temperature and microstructure on the solid-liquid extraction was carried out using Simpson's solution of Fick's second law of anomalous diffusion. Based on the extraction behavior, a novel numerical method was proposed to determine the extraction time in which the best relationship between the process time and the yield is obtained to have profitability in the process. 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 (k2) were evaluated 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 R of 0.998, while the evaluation of the parameter k2 (temperature) showed to have less consequence in the behavior and extraction time than the parameter n (microstructure) with extraction times of 507.8 to 14.5 min. and from 79.3 to 46.6 min. for n and k2 respectively. The results of the simulation were consistent with those observed in biomaterials with clearly different structures such as those of seeds and leaves extracted at different temperatures, so the proposed numerical methods can be a useful tool in this bioseparation.

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