Mathematical modeling applied to the drying kinetics of black bean starch paste

Authors

DOI:

https://doi.org/10.33448/rsd-v10i1.11921

Keywords:

Free water; Carbohydrate; Conservation; Extraction; Page.

Abstract

The present study aimed to extract starch from black bean seeds and adjust empirical mathematical models to the data obtained experimentally in its drying kinetics. Starch was extracted from black bean seeds using a sodium metabisulfite solution (0.5%). The paste obtained after the extraction process was subjected to drying kinetics at temperatures of 40, 50 and 60 °C and an air speed of 1.5 m s-1. Empirical mathematical models were adjusted to the experimental data, in which the coefficient of determination (R2) and chi-square function (X2) were evaluated using the statistical indicators and finally the extraction yield was calculated as a percentage of the starch mass obtained in relation to the mass of black beans. The determination coefficient (R2) of all applied models showed values greater than 0.98 (R2> 0.98) and the Page model showed the lowest values for the chi-square function, in which they vary from 0.005637 to 0,003212. The extraction yield values varied from 45.35 to 47.62%, the highest percentage being obtained at a temperature of 60 ° C. However, the Page model at a temperature of 50 °C is the most adequate to represent this study, as it presented the highest value of R2 (0.9998) and the lowest value of the chi-square function (0.3212x10-2).

References

Almeida, R. L. J., Santos, N. C., dos Santos Pereira, T., de Queiroga, A. P. R., de Alcântara Silva, V. M., de Alcântara Ribeiro, V. H., ... & Borges, E. M. E. S. (2020b). Cinética de secagem do feijão azuki: modelagem matemática e propriedades termodinâmicas. Research, Society and Development, 9(3), 3.

Almeida, R. L., Santos, N. C., dos Santos Pereira, T., de Alcântara Silva, V. M., Cabral, M. B., Barros, E. R., ... & da Silva, L. R. I. (2020a). Determinação de compostos bioativos e composição físico-química da farinha da casca de jabuticaba obtida por secagem convectiva e liofilização. Research, Society and Development, 9(1), e157911876-e157911876.

Araujo, W. D., Goneli, A. L. D., Corrêa, P. C., Hartmann Filho, C. P., & Martins, E. A. S. (2017). Modelagem matemática da secagem dos frutos de amendoim em camada delgada. Revista Ciência Agronômica, 48(3), 448-457.

Barros, L. F. T. D., Escobar, T. D., Ribeiro, P. F. D. A., & Kaminski, T. A. (2018). Muffins adicionados de farinha de feijão de diferentes classes. Brazilian Journal of Food Technology, 21.

Bento, J. A. C., Ferreira, K. C., de Oliveira, A. L. M., Lião, L. M., Caliari, M., & Júnior, M. S. S. (2019). Extraction, characterization and technological properties of white garland-lily starch. International journal of biological macromolecules, 135, 422-428.

Chi, C., Li, X., Zhang, Y., Chen, L., Li, L., & Miao, S. (2020). Progress in tailoring starch intrinsic structures to improve its nutritional value. Food Hydrocolloids, 106447.

Fabbri, A. D., Schacht, R. W., & Crosby, G. A. (2016). Evaluation of resistant starch content of cooked black beans, pinto beans, and chickpeas. NFS journal, 3, 8-12.

Frota, K. D. M. G., Morgano, M. A., Silva, M. G. D., Araújo, M. A. D. M., & Moreira-Araújo, R. S. D. R. (2010). Utilização da farinha de feijão-caupi (Vigna unguiculata L. Walp) na elaboração de produtos de panificação. Food Science and Technology, 30, 44-50.

Li, P., Li, Y., Wang, L., Zhang, H., Qi, X., & Qian, H. (2020). Study on water absorption kinetics of black beans during soaking. Journal of Food Engineering, 110030.

Rosa-Millán, J.D.L., Heredia-Olea, E., Perez-Carrillo, E., Guajardo-Flores, D., & Serna-Saldívar, S. R. O. (2019). Effect of decortication, germination and extrusion on physicochemical and in vitro protein and starch digestion characteristics of black beans (Phaseolus vulgaris L.). LWT, 102, 330-337.

Santos, N. C., Silva, V. M. A., Ribeiro, V. H. A., Barros, S. L., Almeida, R. L. J., Luiz, M. R., & Beserra, Y. A. S. (2019b). Secagem convectiva de cascas de kiwi cv. hayward, difusividade efetiva e energia de ativação. In: Paulo Roberto Megna Francisco; George do Nascimento Ribeiro; Paulo da Costa Medeiros. (Org.). Caderno de Pesquisa, Ciência e Inovação. 3ed.Campina Grande: EPGRAF, 2, 82-89.

Santos, N. C., Silva, W. P., Barros, S. L., Araújo, A. J. B., Gomes, J. P., Almeida, R. L. J., Nascimento, A. P. S., Almeida, R. D., Silva, C. M. D. P. S., Queiroz, A. J. M., & Figueirêdo, R. M. F. (2019a). Study on drying of black rice (Oryza sativa L.) grains: physical-chemical and bioactive quality. Journal of Agricultural Science, 11(9), 203-212.

Santos, N. C., da Silva, W. P., Barros, S. L., Almeida, R. L. J., de Brito Araújo, A. J., & da Silva Nascimento, A. P. (2020). Red rice (Oryza sativa L.) use in flour production: Convective drying and bioactive quality. Journal of Food Process Engineering, 43(10), e13490.

Silva, E. C. O., da Silva, W. P., Gomes, J. P., Silva, C. M. D. P. S., Alexandre, H. V., Farias, V. S. O., ... & de Figuiredo, R. M. F. (2019b). Drying of Albedo and Whole Peel of Yellow Passion Fruit. Journal of Agricultural Science, 11(6).

Published

18/01/2021

How to Cite

ALMEIDA, R. L. J.; SANTOS, N. C.; RIBEIRO, V. H. de A. .; SILVA , V. M. de A. .; MUNIZ , C. E. de S. .; SILVA, R. de A. .; EDUARDO , R. da S. .; SANTIAGO, Ângela M. .; GALDINO, P. O. .; MOTA, M. M. de A. . Mathematical modeling applied to the drying kinetics of black bean starch paste. Research, Society and Development, [S. l.], v. 10, n. 1, p. e37710111921, 2021. DOI: 10.33448/rsd-v10i1.11921. Disponível em: https://rsdjournal.org/index.php/rsd/article/view/11921. Acesso em: 26 feb. 2021.

Issue

Section

Agrarian and Biological Sciences