Mathematical modeling of hydration kinetics at different temperatures of four bean (Phaseolus vulgaris L) varieties produced in Mexico

Authors

  • José Armando Ulloa Universidad Autónoma de Nayarit. Centro de Tecnología de Alimentos, Ciudad de la Cultura, Amado Nervo, Tepic, Nayarit, México, C.P. 63155.
  • Petra Rosas-Ulloa Universidad Autónoma de Nayarit. Centro de Tecnología de Alimentos, Ciudad de la Cultura, Amado Nervo, Tepic, Nayarit, México, C.P. 63155.
  • José Carmen Ramírez-Ramírez Universidad Autónoma de Nayarit. Unidad Académica de Medicina Veterinaria y Zootecnia, carretera Compostela-Chapalilla km 3.5, Compostela, Nayarit, México, C.P. 63700.
  • Blanca Estela Ulloa-Rangel Universidad Autónoma de Nayarit. Unidad Académica de Ciencias Químico Biológicas y Farmacéuticas, Ciudad de la Cultura Amado Nervo, Nayarit, México, C.P. 63155.

DOI:

https://doi.org/10.29059/cienciauat.v10i2.542

Keywords:

bean, hydration kinetics, mathematical modeling, Peleg’s model.

Abstract

Water uptake of legumes during soaking affects subsequent processing operations and the finished product quality. Therefore, the modeling of water transfer in seeds during soaking is very important. In this work, kinetics of water absorption for Azufrado, Peruano bola, Mayacoba, and Canario bean varieties at three temperatures (25 °C, 40 °C and 55 °C) were studied. The time to achieve the equilibrium moisture content depended on bean variety and soaking temperature, which could be reduced from 45.5 % (Peruano bola) to 60.9 % (Canario) increasing the soaking temperature from 25 ºC to 55 °C. According to the statistical indicators of determination coefficient, root mean square error, and chi-square, the model with the best fit in the generality of the bean varieties and soaking temperatures was the Peleg’s model. The k1 values of Peleg’s model for the studied bean varieties versus the reciprocal of the temperature were fitted to the Arrhenius equation (R2 = 0.9190 - 0.9980). The values of activation energy for hydration ranged from 18.41 kJ / mol-1 to 50.18 kJ / mol-1 depending on bean variety. The obtained results in this study could be useful for further research on product development, food properties and process design of the bean processing industry.

 

Archive XML (SciELO)

Author Biographies

José Armando Ulloa, Universidad Autónoma de Nayarit. Centro de Tecnología de Alimentos, Ciudad de la Cultura, Amado Nervo, Tepic, Nayarit, México, C.P. 63155.

Investigador Titular C, Coordinador del Cuerpo Académico de Tecnología de Alimentos. Investigador Nacional Nivel 1

Petra Rosas-Ulloa, Universidad Autónoma de Nayarit. Centro de Tecnología de Alimentos, Ciudad de la Cultura, Amado Nervo, Tepic, Nayarit, México, C.P. 63155.

Investigador Titular B. Meastra en Ciencias. Profesor Perfil Promep. Integrante del Cuerpo Ácadémico de Tecnología de Alimentos.

José Carmen Ramírez-Ramírez, Universidad Autónoma de Nayarit. Unidad Académica de Medicina Veterinaria y Zootecnia, carretera Compostela-Chapalilla km 3.5, Compostela, Nayarit, México, C.P. 63700.

Profesor Investigador Titular C, Profesor Perfil Promep, Integrante del Cuerpo Académico de Tecnología de Alimentos

Blanca Estela Ulloa-Rangel, Universidad Autónoma de Nayarit. Unidad Académica de Ciencias Químico Biológicas y Farmacéuticas, Ciudad de la Cultura Amado Nervo, Nayarit, México, C.P. 63155.

Profesor de Tiempo Completo. Colaborador del Cuerpo Académico de Tecnología de Alimentos.

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Published

2016-02-29

How to Cite

Ulloa, J. A., Rosas-Ulloa, P., Ramírez-Ramírez, J. C., & Ulloa-Rangel, B. E. (2016). Mathematical modeling of hydration kinetics at different temperatures of four bean (Phaseolus vulgaris L) varieties produced in Mexico. CienciaUAT, 10(2), 52–62. https://doi.org/10.29059/cienciauat.v10i2.542

Issue

Section

Biotechnology and Agricultural Sciences

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