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.

References

Araújo-da-Fonseca, F. A., Soares-Junior, M. S., Caliari, M., Zaczuk-Bassinello, P., da-Costa-Eifert, E., and Mendoca-Garcia, D. (2011). Changes occurring during the parboiling of upland rice and in the maceration water at different temperatures and soaking times. Inter-national Journal of Food Science and Technology. 46(9): 1912-1920.

Araujo-Contreras, J. M., Rivas-Avila, E., Avila-Rodríguez, A., Avila-Rodríguez, E. H., Vargas-Chávez, N., Reyes-Romero, M. A., & Camacho-Luis, A. (2015). Relación entre hipertensión arterial y obesidad central en madres de familia. CienciaUAT. 9(2): 50-55.

Cox, S., Gupta, S., and Abu-Ghannam, N. (2012). Effect of different rehydration temperatures on the moisture, content of phenolic compounds, antioxidant capacity and textural properties of edible Irish brown seaweed. LWT-Food Science and Technology. 47(2): 300-307.

Gallegos-Infante, J. A., Rocha-Guzmán, N. E., González-Laredo, R. F., Ochoa-Martínez, L. A., Corzo, N., Bello-Pérez, L. A., Medina-Torres, L., and Peralta-Álvarez, L. E. (2010). Quality of spaghetti pasta con-taining Mexican common bean flour (Phaseolus vul-garis L). Food Chemistry. 119(4): 1544-1549.

García-Segovia, P., Andrés-Bello, A., and Martínez-Monzó, J. (2011). Rehydration of airdried Shiitake mushroom (Lentinus edodes) caps: Comparison of conventional and vacuum water immersion processes. LWT - Food Science and Technology. 44(2): 480-488.

Joshi, M., Adhikari, B., Panozzo, J., and Aldred, P. (2010). Water uptake and its impact on the texture of lentils (Lens culinaris). Journal of Food Engineering. 100(1): 61-69.

Leal-Oliveira, A., Gouveia-Colnaghi, B., Zucatti-da-Silva, E., Romão-Gouvêa, I., Lopes-Vieira, R., and Duarte-Augusto, P. E.(2013). Modelling the effect of temperature on the hydration kinetic of adzuki beans (Vigna angularis). Journal of Food Engineering. 118(4): 417-420.

López, A., El-Naggar, T., Dueñas, M., Ortega, T., Estrella, I., Hernández, T., Gómez-Serranillos, M. P., Palomino, O. M., and Carretero, M. E. (2013). Effect of cooking and germination on phenolic composition and biological properties of dark bean (Phaseolus vulgaris L). Food Chemistry. 138(1): 547-555.

Lorestani, A. N. and Ghari, M. (2012). Mass modeling of Fava bean (Vicia faba) with some physical characteristics. Scientia Horticulturae. 133: 6-9.

Mendoza, F. A., Cichy, K., Lu, R., and Kelly, J. D. (2014). Evaluation of canning quality traits in black beans (Phaseolus vulgaris L) by visible/near-infrared spectroscopy. Food and Bioprocess Technology. 7(9): 2666-2678.

Mimmo, T., Ghizzi, M., Cesco, S., Tomasi, N., Pinton, R., and Puschenreiter, M. (2013). Aluminium-phosphate interactions in the rhizosphere of two bean species: Phaseolus lunatus L and Phaseolus vulgaris L Journal of the Science of Food and Agriculture. 93(15): 3891-3896.

Oomah, B. D., Kotzeva, L., Allen, M., and Basinello, P. Z. (2014). Microwave and micronization treatments affect dehulling characteristics and bioactive contents of dry beans (Phaseolus vulgaris L). Journal of the Science of Food and Agriculture. 94(7): 1349-1358.

Piergiovanni, A. R. (2011). Kinetic of water adsorption in common bean: consideration on the suitability of Peleg’s model for describing bean hydration. Journal of Food Processing and Preservation. 35(4): 447-452.

Phomkong, W., Soponronnarit, S., and Thamma-rutwasik, P. (2010). Chemical pretreatments affecting drying characteristics of chilli (cv. Huarou Yon). Drying Technology. 28(12): 1466-1476.

Rodríguez-Licea, G., García-Salazar, J. A., Rebollar-Rebollar, S. y Cruz-Contreras, A. C. (2010). Preferencias del consumidor de frijol (Phaseolus vulgaris L) en México: factores y características que influyen en la decisión de compra diferenciada por tipo y variedad. Paradigma Económico. 2(1): 121-145.

Sobukola, O. P. and Abayomi, H. T. (2011). Physical properties and rehydration characteristics of different varieties of maize (Zea mays L) and cowpea (Vigna unguiculata L. Walp) seeds. Journal of Food Processing and Preservation. 35(3): 299-307.

Ulloa, J. A., Bonilla-Sánchez, C. R., Ortíz-Jiménez, M.A., Rosas-Ulloa, P., Ramírez-Ramírez, J. C., and Ulloa-Rangel, B. E. (2013). Rehydration properties of precooked whole beans (Phaseolus vulgaris L) dehydrated at room temperature. CYTA-Journal of Food. 11(1): 94-96.

Yildirim, A., Oner, M. D., and Bayram, M. (2010). Modeling of water absorption of ultrasound applied chickpeas (Cicer arietinum L) using Peleg’s equation. Journal of Agricultural Sciences. 16: 278-286.

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