Comparison of mathematical models of the kinetic of drying pennyroyal leaves (Mentha pulegium L.)

Authors

DOI:

https://doi.org/10.33448/rsd-v11i6.21924

Keywords:

Convection Heat Transfer; Mathematical modeling; Drying curves.

Abstract

A Mentha pulegium L. popularmente conhecida como poejo, possui folhas simples que expelem um aroma agradável quando são trituradas. Este trabalho teve como principal objetivo realizar a secagem das folhas de poejo, estimar por meio de cinética de secagem em convecção forçada, o coeficiente de difusão efetivo e determinar o melhor modelo matemático em quatro diferentes temperaturas (40, 50 e 60  °C) em fluxo de ar de 1,5 m/s.  Analisando as curvas de secagem observou-se que a cinética de secagem foi fortemente influenciada pela temperatura. Os modelos de camada fina que melhor se ajustaram aos dados experimentais foram Difusão Aproximada, Dois Termos e Logarítmico para as temperaturas de 40, 50 e 60 ºC, respectivamente. O método de avaliação deu-se utilizando o R² (coeficiente de determinação), RMSE (raiz quadrada do erro médio) e X² (Qui-quadrado), sendo que o parâmetro de coeficiente de determinação se manteve >0,90. O coeficiente de difusão efetivo diminuiu 74% com a elevação da temperatura de 40 ºC para 60 ºC e a entalpia e a entropia decresceram com o aumento da temperatura, enquanto, enquanto a energia livre de Gibbs aumentou 5% para cada incremento de 10 ºC na temperatura.

References

Ahmed, A., Ayoub, K., Chaima, A. J, Hanaa, L., & Abdelaziz, C. (2018). Effect of drying methods on yield, chemical composition and bioactivities of essential oil obtained from Moroccan Mentha pulegium L. Biocatalysis and Agricultural Biotechnology, 16(October), 638–643. https://doi.org/10.1016/j.bcab.2018.10.016

Chua, K. J., Mujumdar, A. S., Chou, S. K., Hawlader, M. N., & Ho, J. C. (2000). Convective Drying Of Banana, Guava And Potato Pieces : Effect Of Cyclical Variations Of Air Temperature On Drying Kinetics And Color Change. Drying Technology, 18(4–5), 907–936. https://doi.org/10.1080/07373930008917744

Da Silva Morais, S. J., Devilla, I. A., Ferreira, D. A., & Teixeira, I. R. (2013). Mathematical modeling of drying curves and diffusion coefficient of cowpea beans (vigna unguiculata (L.) walp.). Revista Ciencia Agronomica, 44(3), 455–463. https://doi.org/10.1590/S1806-66902013000300006

de Azevêdo, J. C. S., Fujita, A., de Oliveira, E. L., Genovese, M. I., & Correia, R. T. P. (2014). Dried camu-camu (Myrciaria dubia HBK McVaugh) industrial residue: A bioactive-rich Amazonian powder with functional attributes. Food Research International, 62, 934–940. https://doi.org/10.1016/j.foodres.2014.05.018

Deamici, K. M., de Oliveira, L. C., da Rosa, G. S., & de Oliveira, E. G. (2016). Drying kinetics of fermented grape pomace: Determination of moisture effective diffusivity. Brazilian Journal of Agricultural and Environmental Engineering, 20(8), 763–768. https://doi.org/10.1590/1807-1929/agriambi.v20n8p763-768

Fiorentin, L. D., Menon, B. T, Alves, J. A, Barros, S. T. D. de, Pereira, N. C., & Modenes, A. N. (2010). Determination of the drying kinetics and isotherms of orange bagasse. Acta Scientiarum. Technology, 32(2). https://doi.org/10.4025/actascitechnol.v32i2.8242

Henríquez, C., Córdoba, A., Almonacid, S., & Saavedra, J. (2014). Kinetic modeling of phenolic compound degradation during drum-drying of apple peel by-products. Journal of Food Engineering, 143, 146–153. https://doi.org/10.1016/j.jfoodeng.2014.06.037

Jideani, V. A, & Mpotokwana, S. M (2009). Modeling of water absorption of Botswana bambara varieties using Peleg ' s equation. Journal of Food Engineering, 92(2), 182–188. https://doi.org/10.1016/j.jfoodeng.2008.10.040

Leite, A. L. M. P., da Silva, F. S., Porto, A. G., Piasson, D., & dos Santos, P. (2015). Volumetric shrinkage and drying kinetics of Terra variety banana slices. Tropical Agricultural Research, 45(2), 155–162. https://doi.org/10.1590/1983-40632015v4530270

Madamba, P. S, Driscoll, . RH, & Buckle, K. A (1996). The thin-layer drying characteristics of garlic slices. Journal of Food Engineering, 29(1), 75–97. https://doi.org/10.1016/0260-8774(95)00062-3

Mghazli, S., Ouhammou, M., Hidar, N., Lahnine, L., Idlimam, A., & Mahrouz, M. (2017). Drying characteristics and kinetics solar drying of Moroccan rosemary leaves. Renewable Energy, 108, 303–310. https://doi.org/10.1016/j.renene.2017.02.022

Mollaei, S., Ebadi, M., Hazrati, S., Habibi, B., Gholami, F., & Sourestani, M. M. (2020). Essential oil variation and antioxidant capacity of Mentha pulegium populations and their relation to ecological factors. Biochemical Systematics and Ecology, 91(May), 104084. https://doi.org/10.1016/j.bse.2020.104084

Oliveira, G. H. H. et al. (2015). Modeling and thermodynamic properties of strawberry drying Modeling and thermodynamic properties of strawberry drying. 18(4), 314–321. https://doi.org/10.1590/1981-6723.5315

Tavone, L. A da S., Nascimento, K. M, Fachina, Y. J, Madrona, G. S, Bergamasco, R. de C., & Scapim, M. R da S. (2021). Mathematical modeling and effect of thin-layer drying and lyophilization on antioxidant compounds from ultrasonic-assisted extracted muntingia calabura peels. Acta Scientiarum - Agronomy, 43, 1–8. https://doi.org/10.4025/ACTASCIAGRON.V43I1.50301

Yakoubi, R., Megateli, S., Hadj Sadok, T., & Gali, L. (2021). Photoprotective, antioxidant, anticholinesterase activities and phenolic contents of different Algerian Mentha pulegium extracts. Biocatalysis and Agricultural Biotechnology, 34(March), 102038. https://doi.org/10.1016/j.bcab.2021.102038

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Published

29/04/2022

How to Cite

LUZ, W. da .; SANTOS, G. P. dos .; SILVA, L. A. da .; ARÉVALO, C. R. B. .; PINEDO, A. A. .; MALDONADO, C. A. B. .; CORTEZ-VEGA, W. R. .; PIZATO, S.; PINEDO, R. A. . Comparison of mathematical models of the kinetic of drying pennyroyal leaves (Mentha pulegium L.). Research, Society and Development, [S. l.], v. 11, n. 6, p. e33011621924, 2022. DOI: 10.33448/rsd-v11i6.21924. Disponível em: https://rsdjournal.org/index.php/rsd/article/view/21924. Acesso em: 22 nov. 2024.

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Section

Agrarian and Biological Sciences