Mathematical modelling of the rehydration kinetics of yam (dioscorea rotundata) chips in a microwave oven
Aim of study was to model rehydration of yam chips dried in a microwave oven at different power levels. We used a completely randomized32 factorial design corresponding to the numeric variables of power (420, 560 and 700 W) and mass (50, 60 and 70 g) in 1 cm thick×3 cm-diameter yam chips. 3 repetiti...
- Autores:
-
Torregroza Espinosa , Angélica María
García, Carlos A
Romero, Fray R
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2018
- Institución:
- Corporación Universitaria del Caribe - CECAR
- Repositorio:
- Repositorio Digital CECAR
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cecar.edu.co:cecar/10824
- Acceso en línea:
- https://repositorio.cecar.edu.co/handle/cecar/10824
- Palabra clave:
- Empirical models
model fitting
moisture
power
water adsorption
- Rights
- openAccess
- License
- Derechos reservados. Corporación universitaria del caribe-cecar
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Mathematical modelling of the rehydration kinetics of yam (dioscorea rotundata) chips in a microwave oven |
| title |
Mathematical modelling of the rehydration kinetics of yam (dioscorea rotundata) chips in a microwave oven |
| spellingShingle |
Mathematical modelling of the rehydration kinetics of yam (dioscorea rotundata) chips in a microwave oven Empirical models model fitting moisture power water adsorption |
| title_short |
Mathematical modelling of the rehydration kinetics of yam (dioscorea rotundata) chips in a microwave oven |
| title_full |
Mathematical modelling of the rehydration kinetics of yam (dioscorea rotundata) chips in a microwave oven |
| title_fullStr |
Mathematical modelling of the rehydration kinetics of yam (dioscorea rotundata) chips in a microwave oven |
| title_full_unstemmed |
Mathematical modelling of the rehydration kinetics of yam (dioscorea rotundata) chips in a microwave oven |
| title_sort |
Mathematical modelling of the rehydration kinetics of yam (dioscorea rotundata) chips in a microwave oven |
| dc.creator.fl_str_mv |
Torregroza Espinosa , Angélica María García, Carlos A Romero, Fray R |
| dc.contributor.author.none.fl_str_mv |
Torregroza Espinosa , Angélica María García, Carlos A Romero, Fray R |
| dc.contributor.researchgroup.none.fl_str_mv |
Gestión de la innovación empresarial y social |
| dc.subject.proposal.eng.fl_str_mv |
Empirical models model fitting moisture power water adsorption |
| topic |
Empirical models model fitting moisture power water adsorption |
| description |
Aim of study was to model rehydration of yam chips dried in a microwave oven at different power levels. We used a completely randomized32 factorial design corresponding to the numeric variables of power (420, 560 and 700 W) and mass (50, 60 and 70 g) in 1 cm thick×3 cm-diameter yam chips. 3 repetitions were made for a total of 27 experimental units. 2, 5 g yam chips were rehydrated using a 2.5 g/100 mL NaCl solution at 25°C. Power and mass variables showed significant differences (p<0.05). The maximum water absorption is given under the conditions of 700 W power and 70 g mass. Data obtained were evaluated through the following empirical models: Exponential Model, Peleg Model, First-order Kinetics, Weibull Distribution and Normalized Weibull Distribution. The results showed that Peleg model fitted much better (R2>97,9% and 0,001<SSE<0,01), which suggests that this is the model that best describes the rehydration characteristics of yam. |
| publishDate |
2018 |
| dc.date.issued.none.fl_str_mv |
2018 |
| dc.date.accessioned.none.fl_str_mv |
2025-08-29T16:35:51Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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Text |
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info:eu-repo/semantics/article |
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http://purl.org/redcol/resource_type/ART |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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https://repositorio.cecar.edu.co/handle/cecar/10824 |
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042-4876 |
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042-4876 |
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eng |
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eng |
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229 |
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255 |
| dc.relation.citationvolume.none.fl_str_mv |
Volumen 15 |
| dc.relation.ispartofjournal.none.fl_str_mv |
Advance journal of food science and technology |
| dc.relation.references.none.fl_str_mv |
AACC, 1983. Approved Methods of the American Association of Cereal Chemists. 8th Edn., AACC International, The Association, St. Paul, MN, Method 88-04 Agronet, 2014. Sistemas de estadísticas AgropecuariasSEA. Estadísticas Agroforestales MADR_DANE_ GREMIOS_1987-2014 - Consolidado Nacional. Retrieved from: http://bibliotecadigital.agronet.gov.co/bitstream/11 348/4401/2/FichaMetodologicaEVAV1.pdf. Al-Muhtaseb, A.H., W.A.M. McMinn and T.R.A. Magee, 2004. Water sorption isotherms of starch powders: Part 1: Mathematical description of experimental data. J. Food Eng., 61(3): 297-307 Cunningham, S.E., W.A.M. McMinn, T.R.A. Magee and P.S. Richardson, 2008. Experimental study of rehydration kinetics of potato cylinders. Food Bioprod. Process., 86(1): 15-24 Darvishi, H., M. Azadbakht, A. Rezaeiasl and A. Farhang, 2013. Drying characteristics of sardine fish dried with microwave heating. J. Saudi Soc. Agric. Sci., 12(2): 121-127 Darvishi, H., A. Rezaie Asl, A. Asghari, M. Azadbakht, G. Najafi and J. Khodaei, 2014. Study of the drying kinetics of pepper. J. Saudi Soc. Agric. Sci., 13(2): 130-138 Delgado, A. and D.W. Sun, 2002. Desorption isotherms for cooked and cured beef and park. J. Food Eng., 51(2): 163-170. Doymaz, I. and O. Ismail, 2013. Modeling of rehydration kinetics of green bell peppers. J. Food Process. Preserv., 37(5): 907-913 Ertekin, C. and O. Yaldiz, 2005. Draying of eggplant and selection of a suitable thin layer drying model. J. Food Eng., 63(3): 349-359. Espinosa, Y., 2009. Influencia de las condiciones de extracción sobre el rendimiento del proceso de lixiviación de almidón en tres clones de ñame pertenecientes a la especie Dioscoreaalata (0506- 112. 9303-036. 9605-055). Thesis, Universidad de Córdoba, Cordoba, Colombia Falade, K.O. and E.S. Abbo, 2007. Air-drying and rehydration characteristics of date palm (Phoenix dactylifera L.) fruits. J. Food Eng., 79(2): 724-730. Farahnaky, A. and E. Kamali, 2015. Texture hysteresis of pistachio kernels on drying and rehydration. J. Food Eng., 166: 335-341 García, C., A. Alvis-Bermúdez and P. RomeroBarragán, 2016. Capacidad de rehidratación y cambio de color de yuca (Manihot esculenta crantz) deshidratada en microondas. Inf. Tecnol., 27(1): 53-60 Ho, Q.T., J. Carmeliet, A.K. Datta, T. Defraeye, M.A. Delele, E. Herremans, L. Opara, H. Ramon, E. Tijskens, R. Van der Sman, P. Van Liedekerke, P. Verboven and B.M. Nicolaï, 2013. Multiscale modeling in food engineering. J. Food Eng., 114(3): 279-291 Hogekamp, S. and H. Schubert, 2003. Rehydration of food powders. Food Sci. Technol. Int., 9(3): 223-235. Krokida, M.K. and D. Marinos-Kouris, 2003. Rehydration kinetics of dehydrated products. J. Food Eng., 57(1): 1-7. Marabi, A., S. Livings, M. Jacobson and I.S. Saguy, 2003. Normalized Weibull distribution for modeling rehydration of food particulates. Eur. Food Res. Technol., 217(4): 311-318. Marquas, L.G., M.M. Prado and J.T. Freire, 2009. Rehydration characteristics of freeze-dried tropical fruits. LWT-Food Sci. Technol., 42(7): 1232-1237 Martínez, D. and E.I. Ortiz, 2009. Evaluación de las propiedades tecnofuncionales de los almidones de ñame a partir de tres clones de la especie Discorea rotundata (9811-083. 9811-089. 9811- 091). Thesis, Universidad de Córdoba, Cordoba, Colombia Melquíades, Y.I., C. López and M.E. Rosas, 2009. Estudio de la cinética de rehidratación de zanahoria (Daucus carota) deshidratadas. Inform. Tecnol., 20(3): 65-72 Montes, E.J.M., R.T. Gallo, R.D.A. Pizarro, O.A.P. Sierra, J.L.M. Escobar and I.I.M. Herazo, 2008. Modelado de la cinética de secado de Ñame (Dioscorea Rotundata) en capa delgada. Rev. Ing. Invest., 28(2): 45-52. Moreira, R., F. Chenlo, L. Chaguri and C. Fernandes, 2008. Water absorption, texture, and color kinetics of air-dried chestnuts during rehydration. J. Food Eng., 86(4): 584-594. Muñoz, I., Garcia-Gil, J. Arnau and P. Gou, 2012. Rehydration kinetics at 5 and 15°C of dry salted meat. J. Food Eng., 110(3): 465-471 Ogawa, T. and S. Adachi, 2014. Measurement of moisture profiles in pasta during rehydration based on image processing. Food Bioprocess Tech., 7(5): 1465-1471. Peleg, M., 1988. An empirical model for the description of moisture sorption curves. J. Food Sci., 53(4): 1216-1219 Rastogi, N.K., C.A. Nayak and K.S.M.S. Raghavarao, 2004. Influence of osmotic pre-treatments on rehydration characteristics of carrots. J. Food Eng., 65(2): 287-292. Reina Aranza, Y.C., 2012. El Cultivo del Ñame en Colombia. Documentos de Trabajo Sobre Economía Regional. Centro de estudios regionales – CEER, Banco de la República, Cartagena, Colombia. Retrieved from: http://www.banrep.gov.co/docum/Lectura_finanzas /pdf/dtser_168.pdf. Sanjuán, N., J.A. Cárcel, G. Clemente and A. Mulet, 2001. Modelling of the rehydration process of brocolli florets. Eur. Food Res. Technol., 212(4): 449-453 Ulloa, J.A., P.R. Ulloa, J.C. Ramírez-Ramírez and B.E. Ulloa-Rangel, 2016. Modelación matemática de las cinéticas de hidratación a diferentes temperaturas de cuatro variedades de frijol (Phaseolus vulgaris L) producidas en México. Cienc.UAT, 10(2): 52- 62. Van der Sman, R.G.M., A. Voda, G. van Dalen and A. Duijster, 2013. Ice crystal interspacing in frozen foods. J. Food Eng., 116(2): 622-626. Van der Sman, R.G.M., F.J. Vergeldt, H. Van As, G. Van Dalen, A. Voda and J.P.M. Van Duynhoven, 2014. Multiphysics pore-scale model for the rehydration of porous food. Innov. Food Sci. Emerg., 24: 69-79. Vega, A.A. and R.A. Lemus, 2006. Modelado de la cinética de secado de la papaya chilena (Vasconcellea pubescens). Inf. Tecnol. 17(3): 23- 31 Vergeldt, F.J., G. van Dalen, A.J. Duijster, A. Voda, S. Khalloufi, L.J. van Vliet, H. Van As, J.P.M. van Duynhoven and R.G.M. van der Sman, 2014. Rehydration kinetics of freeze-dried carrots. Innov. Food Sci. Emerg., 24: 40-47 Wallach, R., O. Troygot and I.S. Saguy, 2011. Modeling rehydration of porous food materials: II. The dual porosity approach. J. Food Eng., 105(3): 416-421. Zambrano, M.L., D.B. Rodríguez and A. Álvarez, 2007. Estudio cinético y de superficie de respuesta para la rehidratación de zanahorias (Daucus carota) liofilizadas. Inf. Tecnol. 18(4): 47-56 Zarein, M., S.H. Samadi and B. Ghobadian, 2015. Investigation of microwave dryer effect on energy efficiency during drying of apple slices. J. Saudi Soc. Agric. Sci., 14(1): 41-47. Zura, L., A. Vega-Gálvez, R. Lemus-Mondaca, K. AhHen and K. Di Scala, 2013. Effect of temperature on rehydration kinetics, functional properties, texture and antioxidant activity of red pepper var. Hungarian (Capsicum annuum L.). J. Food Process. Pres., 37(1): 74-85. |
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Derechos reservados. Corporación universitaria del caribe-cecar |
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https://creativecommons.org/licenses/by-nc/4.0/ |
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Atribución-NoComercial 4.0 Internacional (CC BY-NC 4.0) |
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Torregroza Espinosa , Angélica MaríaGarcía, Carlos ARomero, Fray RGestión de la innovación empresarial y social2025-08-29T16:35:51Z2018https://repositorio.cecar.edu.co/handle/cecar/10824042-4876Aim of study was to model rehydration of yam chips dried in a microwave oven at different power levels. We used a completely randomized32 factorial design corresponding to the numeric variables of power (420, 560 and 700 W) and mass (50, 60 and 70 g) in 1 cm thick×3 cm-diameter yam chips. 3 repetitions were made for a total of 27 experimental units. 2, 5 g yam chips were rehydrated using a 2.5 g/100 mL NaCl solution at 25°C. Power and mass variables showed significant differences (p<0.05). The maximum water absorption is given under the conditions of 700 W power and 70 g mass. Data obtained were evaluated through the following empirical models: Exponential Model, Peleg Model, First-order Kinetics, Weibull Distribution and Normalized Weibull Distribution. The results showed that Peleg model fitted much better (R2>97,9% and 0,001<SSE<0,01), which suggests that this is the model that best describes the rehydration characteristics of yam.Innovación en TICInnovación SocialInnovación tecnológica para el desarrollo de productos con insumos de la región5 páginasapplication/pdfengDerechos reservados. Corporación universitaria del caribe-cecarhttps://creativecommons.org/licenses/by-nc/4.0/Atribución-NoComercial 4.0 Internacional (CC BY-NC 4.0)info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2http://creativecommons.org/licenses/by/4.0/Mathematical modelling of the rehydration kinetics of yam (dioscorea rotundata) chips in a microwave ovenArtículo de revistahttp://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Colombia229255Volumen 15Advance journal of food science and technologyAACC, 1983. Approved Methods of the American Association of Cereal Chemists. 8th Edn., AACC International, The Association, St. Paul, MN, Method 88-04Agronet, 2014. Sistemas de estadísticas AgropecuariasSEA. Estadísticas Agroforestales MADR_DANE_ GREMIOS_1987-2014 - Consolidado Nacional. Retrieved from: http://bibliotecadigital.agronet.gov.co/bitstream/11 348/4401/2/FichaMetodologicaEVAV1.pdf.Al-Muhtaseb, A.H., W.A.M. McMinn and T.R.A. Magee, 2004. Water sorption isotherms of starch powders: Part 1: Mathematical description of experimental data. J. Food Eng., 61(3): 297-307Cunningham, S.E., W.A.M. McMinn, T.R.A. Magee and P.S. Richardson, 2008. Experimental study of rehydration kinetics of potato cylinders. Food Bioprod. Process., 86(1): 15-24Darvishi, H., M. Azadbakht, A. Rezaeiasl and A. Farhang, 2013. Drying characteristics of sardine fish dried with microwave heating. J. Saudi Soc. Agric. Sci., 12(2): 121-127Darvishi, H., A. Rezaie Asl, A. Asghari, M. Azadbakht, G. Najafi and J. Khodaei, 2014. Study of the drying kinetics of pepper. J. Saudi Soc. Agric. Sci., 13(2): 130-138Delgado, A. and D.W. Sun, 2002. Desorption isotherms for cooked and cured beef and park. J. Food Eng., 51(2): 163-170.Doymaz, I. and O. Ismail, 2013. Modeling of rehydration kinetics of green bell peppers. J. Food Process. Preserv., 37(5): 907-913Ertekin, C. and O. Yaldiz, 2005. Draying of eggplant and selection of a suitable thin layer drying model. J. Food Eng., 63(3): 349-359.Espinosa, Y., 2009. Influencia de las condiciones de extracción sobre el rendimiento del proceso de lixiviación de almidón en tres clones de ñame pertenecientes a la especie Dioscoreaalata (0506- 112. 9303-036. 9605-055). Thesis, Universidad de Córdoba, Cordoba, ColombiaFalade, K.O. and E.S. Abbo, 2007. Air-drying and rehydration characteristics of date palm (Phoenix dactylifera L.) fruits. J. Food Eng., 79(2): 724-730.Farahnaky, A. and E. Kamali, 2015. Texture hysteresis of pistachio kernels on drying and rehydration. J. Food Eng., 166: 335-341García, C., A. Alvis-Bermúdez and P. RomeroBarragán, 2016. Capacidad de rehidratación y cambio de color de yuca (Manihot esculenta crantz) deshidratada en microondas. Inf. Tecnol., 27(1): 53-60Ho, Q.T., J. Carmeliet, A.K. Datta, T. Defraeye, M.A. Delele, E. Herremans, L. Opara, H. Ramon, E. Tijskens, R. Van der Sman, P. Van Liedekerke, P. Verboven and B.M. Nicolaï, 2013. Multiscale modeling in food engineering. J. Food Eng., 114(3): 279-291Hogekamp, S. and H. Schubert, 2003. Rehydration of food powders. Food Sci. Technol. Int., 9(3): 223-235.Krokida, M.K. and D. Marinos-Kouris, 2003. Rehydration kinetics of dehydrated products. J. Food Eng., 57(1): 1-7.Marabi, A., S. Livings, M. Jacobson and I.S. Saguy, 2003. Normalized Weibull distribution for modeling rehydration of food particulates. Eur. Food Res. Technol., 217(4): 311-318.Marquas, L.G., M.M. Prado and J.T. Freire, 2009. Rehydration characteristics of freeze-dried tropical fruits. LWT-Food Sci. Technol., 42(7): 1232-1237Martínez, D. and E.I. Ortiz, 2009. Evaluación de las propiedades tecnofuncionales de los almidones de ñame a partir de tres clones de la especie Discorea rotundata (9811-083. 9811-089. 9811- 091). Thesis, Universidad de Córdoba, Cordoba, ColombiaMelquíades, Y.I., C. López and M.E. Rosas, 2009. Estudio de la cinética de rehidratación de zanahoria (Daucus carota) deshidratadas. Inform. Tecnol., 20(3): 65-72Montes, E.J.M., R.T. Gallo, R.D.A. Pizarro, O.A.P. Sierra, J.L.M. Escobar and I.I.M. Herazo, 2008. Modelado de la cinética de secado de Ñame (Dioscorea Rotundata) en capa delgada. Rev. Ing. Invest., 28(2): 45-52.Moreira, R., F. Chenlo, L. Chaguri and C. Fernandes, 2008. Water absorption, texture, and color kinetics of air-dried chestnuts during rehydration. J. Food Eng., 86(4): 584-594.Muñoz, I., Garcia-Gil, J. Arnau and P. Gou, 2012. Rehydration kinetics at 5 and 15°C of dry salted meat. J. Food Eng., 110(3): 465-471Ogawa, T. and S. Adachi, 2014. Measurement of moisture profiles in pasta during rehydration based on image processing. Food Bioprocess Tech., 7(5): 1465-1471.Peleg, M., 1988. An empirical model for the description of moisture sorption curves. J. Food Sci., 53(4): 1216-1219Rastogi, N.K., C.A. Nayak and K.S.M.S. Raghavarao, 2004. Influence of osmotic pre-treatments on rehydration characteristics of carrots. J. Food Eng., 65(2): 287-292.Reina Aranza, Y.C., 2012. El Cultivo del Ñame en Colombia. Documentos de Trabajo Sobre Economía Regional. Centro de estudios regionales – CEER, Banco de la República, Cartagena, Colombia. Retrieved from: http://www.banrep.gov.co/docum/Lectura_finanzas /pdf/dtser_168.pdf.Sanjuán, N., J.A. Cárcel, G. Clemente and A. Mulet, 2001. Modelling of the rehydration process of brocolli florets. Eur. Food Res. Technol., 212(4): 449-453Ulloa, J.A., P.R. Ulloa, J.C. Ramírez-Ramírez and B.E. Ulloa-Rangel, 2016. Modelación matemática de las cinéticas de hidratación a diferentes temperaturas de cuatro variedades de frijol (Phaseolus vulgaris L) producidas en México. Cienc.UAT, 10(2): 52- 62.Van der Sman, R.G.M., A. Voda, G. van Dalen and A. Duijster, 2013. Ice crystal interspacing in frozen foods. J. Food Eng., 116(2): 622-626.Van der Sman, R.G.M., F.J. Vergeldt, H. Van As, G. Van Dalen, A. Voda and J.P.M. Van Duynhoven, 2014. Multiphysics pore-scale model for the rehydration of porous food. Innov. Food Sci. Emerg., 24: 69-79.Vega, A.A. and R.A. Lemus, 2006. Modelado de la cinética de secado de la papaya chilena (Vasconcellea pubescens). Inf. Tecnol. 17(3): 23- 31Vergeldt, F.J., G. van Dalen, A.J. Duijster, A. Voda, S. Khalloufi, L.J. van Vliet, H. Van As, J.P.M. van Duynhoven and R.G.M. van der Sman, 2014. Rehydration kinetics of freeze-dried carrots. Innov. Food Sci. Emerg., 24: 40-47Wallach, R., O. Troygot and I.S. Saguy, 2011. Modeling rehydration of porous food materials: II. The dual porosity approach. J. Food Eng., 105(3): 416-421.Zambrano, M.L., D.B. Rodríguez and A. Álvarez, 2007. Estudio cinético y de superficie de respuesta para la rehidratación de zanahorias (Daucus carota) liofilizadas. Inf. Tecnol. 18(4): 47-56Zarein, M., S.H. Samadi and B. Ghobadian, 2015. Investigation of microwave dryer effect on energy efficiency during drying of apple slices. J. Saudi Soc. Agric. Sci., 14(1): 41-47.Zura, L., A. Vega-Gálvez, R. Lemus-Mondaca, K. AhHen and K. Di Scala, 2013. Effect of temperature on rehydration kinetics, functional properties, texture and antioxidant activity of red pepper var. Hungarian (Capsicum annuum L.). J. Food Process. 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Corporación universitaria del caribe-cecaropen.accesshttps://repositorio.cecar.edu.coRepositorio Digital de la Corporación Universitaria Del Caribe 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