Mathematical modeling of drying process of unripe banana slices

Detalhes bibliográficos
Autor(a) principal: Davila, Rosa Fabiana Zabalaga
Data de Publicação: 2016
Tipo de documento: Tese
Idioma: eng
Título da fonte: Biblioteca Digital de Teses e Dissertações da USP
Texto Completo: http://www.teses.usp.br/teses/disponiveis/3/3137/tde-29062016-155701/
Resumo: Unripe banana flour (UBF) production employs bananas not submitted to maturation process, is an interesting alternative to minimize the fruit loss reduction related to inappropriate handling or fast ripening. The UBF is considered as a functional ingredient improving glycemic and plasma insulin levels in blood, have also shown efficacy on the control of satiety, insulin resistance. The aim of this work was to study the drying process of unripe banana slabs (Musa cavendishii, Nanicão) developing a transient drying model through mathematical modeling with simultaneous moisture and heat transfer. The raw material characterization was performed and afterwards the drying process was conducted at 40 ºC, 50 ºC e 60 ºC, the product temperature was recorded using thermocouples, the air velocity inside the chamber was 4 m·s-1. With the experimental data was possible to validate the diffusion model based on the Fick\'s second law and Fourier. For this purpose, the sorption isotherms were measured and fitted to the GAB model estimating the equilibrium moisture content (Xe), 1.76 [g H2O/100g d.b.] at 60 ºC and 10 % of relative humidity (RH), the thermophysical properties (k, Cp, ?) were also measured to be used in the model. Five cases were contemplated: i) Constant thermophysical properties; ii) Variable properties; iii) Mass (hm), heat transfer (h) coefficient and effective diffusivity (De) estimation 134 W·m-2·K-1, 4.91x10-5 m-2·s-1 and 3.278?10-10 m·s-2 at 60 ºC, respectively; iv) Variable De, it presented a third order polynomial behavior as function of moisture content; v) The shrinkage had an effect on the mathematical model, especially in the 3 first hours of process, the thickness experienced a contraction of about (30.34 ± 1.29) % out of the initial thickness, finding two decreasing drying rate periods (DDR I and DDR II), 3.28x10-10 m·s-2 and 1.77x10-10 m·s-2, respectively. COMSOL Multiphysics simulations were possible to perform through the heat and mass transfer coefficient estimated by the mathematical modeling.
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spelling Mathematical modeling of drying process of unripe banana slicesModelagem matemática do processo de secagem de fatias de banana verde.Amido resistenteBananaConvective dryingMathematical modelingResistant starchSecagem (Processos; Modelagem matemática)Unripe bananaUnripe banana flour (UBF) production employs bananas not submitted to maturation process, is an interesting alternative to minimize the fruit loss reduction related to inappropriate handling or fast ripening. The UBF is considered as a functional ingredient improving glycemic and plasma insulin levels in blood, have also shown efficacy on the control of satiety, insulin resistance. The aim of this work was to study the drying process of unripe banana slabs (Musa cavendishii, Nanicão) developing a transient drying model through mathematical modeling with simultaneous moisture and heat transfer. The raw material characterization was performed and afterwards the drying process was conducted at 40 ºC, 50 ºC e 60 ºC, the product temperature was recorded using thermocouples, the air velocity inside the chamber was 4 m·s-1. With the experimental data was possible to validate the diffusion model based on the Fick\'s second law and Fourier. For this purpose, the sorption isotherms were measured and fitted to the GAB model estimating the equilibrium moisture content (Xe), 1.76 [g H2O/100g d.b.] at 60 ºC and 10 % of relative humidity (RH), the thermophysical properties (k, Cp, ?) were also measured to be used in the model. Five cases were contemplated: i) Constant thermophysical properties; ii) Variable properties; iii) Mass (hm), heat transfer (h) coefficient and effective diffusivity (De) estimation 134 W·m-2·K-1, 4.91x10-5 m-2·s-1 and 3.278?10-10 m·s-2 at 60 ºC, respectively; iv) Variable De, it presented a third order polynomial behavior as function of moisture content; v) The shrinkage had an effect on the mathematical model, especially in the 3 first hours of process, the thickness experienced a contraction of about (30.34 ± 1.29) % out of the initial thickness, finding two decreasing drying rate periods (DDR I and DDR II), 3.28x10-10 m·s-2 and 1.77x10-10 m·s-2, respectively. COMSOL Multiphysics simulations were possible to perform through the heat and mass transfer coefficient estimated by the mathematical modeling.A farinha de banana verde (UBF) produzida de bananas não submetidas ao processo de maturação é uma alternativa interessante para minimizar as perdas dos frutos relacionadas ao manejo inadequado e a alta perecibilidade do produto. A UBF pode ser considerada um ingrediente funcional em formulações alimentícias, pois pode reduzir o índice glicêmico e o nível de insulina plasmática no sangue, demonstrando eficácia no controle da saciedade e da resistência à insulina. O objetivo deste trabalho foi estudar o processo de secagem de fatias de banana verde (Musa cavendishii, Nanicão) e desenvolver um modelo de secagem transiente através da modelagem matemática com transferência de massa e energia simultânea. Inicialmente, foi realizada a caraterização físico-química da matéria prima que foi submetida ao processo de secagem em escala piloto, a 40 ºC, 50 ºC e 60 ºC, com termopares inseridos no produto monitorando sua temperatura, a velocidade do ar de secagem foi de 4 mos-1. Com a cinética de secagem e a temperatura interna da fatia foi possível validar o modelo de difusão baseado na 2a Lei de Fick e Fourier. Para este propósito, foram medidas durante o processo: as isotermas de sorção ajustadas ao modelo do GAB permitindo estimar a umidade de equilíbrio (Xe), 1.76 [g H2O/100g d.b.] a 60 ºC e 10 % de umidade relativa (RH) e as propriedades físicas e termofísicas (k, Cp, ?) para serem inseridas no modelo. Consideraram-se cinco casos: i) Propriedades termofísicas constantes; ii) Variáveis; iii) Estimativa do coeficiente de transferência de massa (hm) de calor (h) e difusividade efetiva (De) parâmetros importantes que controlam a taxa de secagem, 134 Wom-2oK-1, 4.91x10-5 m-2os-1 e 3.278x10-10 mos-2 para uma temperatura de 60 ºC, respectivamente; iv) Estimativa do De como função do teor de umidade (M) apresentando um comportamento polinomial de terceira ordem; v) O encolhimento teve influência no modelo matemático, em especial nas primeiras três horas de secagem, a espessura da banana verde experimentou uma redução de (30.34 ± 1.29) %, encontrando dois períodos de taxa de secagem decrescentes (DDR I e DDR II), os De estimados para estes dois períodos foram 3.28x10-10 mos-2 e 1.77x10-10 mos-2, respectivamente. As simulações no COMSOL Multiphysics foram possíveis de serem realizadas através dos dados estimados pelo modelo matemático.Biblioteca Digitais de Teses e Dissertações da USPTadini, Carmen CeciliaDavila, Rosa Fabiana Zabalaga2016-03-18info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisapplication/pdfhttp://www.teses.usp.br/teses/disponiveis/3/3137/tde-29062016-155701/reponame:Biblioteca Digital de Teses e Dissertações da USPinstname:Universidade de São Paulo (USP)instacron:USPLiberar o conteúdo para acesso público.info:eu-repo/semantics/openAccesseng2017-09-04T21:03:48Zoai:teses.usp.br:tde-29062016-155701Biblioteca Digital de Teses e Dissertaçõeshttp://www.teses.usp.br/PUBhttp://www.teses.usp.br/cgi-bin/mtd2br.plvirginia@if.usp.br|| atendimento@aguia.usp.br||virginia@if.usp.bropendoar:27212017-09-04T21:03:48Biblioteca Digital de Teses e Dissertações da USP - Universidade de São Paulo (USP)false
dc.title.none.fl_str_mv Mathematical modeling of drying process of unripe banana slices
Modelagem matemática do processo de secagem de fatias de banana verde.
title Mathematical modeling of drying process of unripe banana slices
spellingShingle Mathematical modeling of drying process of unripe banana slices
Davila, Rosa Fabiana Zabalaga
Amido resistente
Banana
Convective drying
Mathematical modeling
Resistant starch
Secagem (Processos; Modelagem matemática)
Unripe banana
title_short Mathematical modeling of drying process of unripe banana slices
title_full Mathematical modeling of drying process of unripe banana slices
title_fullStr Mathematical modeling of drying process of unripe banana slices
title_full_unstemmed Mathematical modeling of drying process of unripe banana slices
title_sort Mathematical modeling of drying process of unripe banana slices
author Davila, Rosa Fabiana Zabalaga
author_facet Davila, Rosa Fabiana Zabalaga
author_role author
dc.contributor.none.fl_str_mv Tadini, Carmen Cecilia
dc.contributor.author.fl_str_mv Davila, Rosa Fabiana Zabalaga
dc.subject.por.fl_str_mv Amido resistente
Banana
Convective drying
Mathematical modeling
Resistant starch
Secagem (Processos; Modelagem matemática)
Unripe banana
topic Amido resistente
Banana
Convective drying
Mathematical modeling
Resistant starch
Secagem (Processos; Modelagem matemática)
Unripe banana
description Unripe banana flour (UBF) production employs bananas not submitted to maturation process, is an interesting alternative to minimize the fruit loss reduction related to inappropriate handling or fast ripening. The UBF is considered as a functional ingredient improving glycemic and plasma insulin levels in blood, have also shown efficacy on the control of satiety, insulin resistance. The aim of this work was to study the drying process of unripe banana slabs (Musa cavendishii, Nanicão) developing a transient drying model through mathematical modeling with simultaneous moisture and heat transfer. The raw material characterization was performed and afterwards the drying process was conducted at 40 ºC, 50 ºC e 60 ºC, the product temperature was recorded using thermocouples, the air velocity inside the chamber was 4 m·s-1. With the experimental data was possible to validate the diffusion model based on the Fick\'s second law and Fourier. For this purpose, the sorption isotherms were measured and fitted to the GAB model estimating the equilibrium moisture content (Xe), 1.76 [g H2O/100g d.b.] at 60 ºC and 10 % of relative humidity (RH), the thermophysical properties (k, Cp, ?) were also measured to be used in the model. Five cases were contemplated: i) Constant thermophysical properties; ii) Variable properties; iii) Mass (hm), heat transfer (h) coefficient and effective diffusivity (De) estimation 134 W·m-2·K-1, 4.91x10-5 m-2·s-1 and 3.278?10-10 m·s-2 at 60 ºC, respectively; iv) Variable De, it presented a third order polynomial behavior as function of moisture content; v) The shrinkage had an effect on the mathematical model, especially in the 3 first hours of process, the thickness experienced a contraction of about (30.34 ± 1.29) % out of the initial thickness, finding two decreasing drying rate periods (DDR I and DDR II), 3.28x10-10 m·s-2 and 1.77x10-10 m·s-2, respectively. COMSOL Multiphysics simulations were possible to perform through the heat and mass transfer coefficient estimated by the mathematical modeling.
publishDate 2016
dc.date.none.fl_str_mv 2016-03-18
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dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
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dc.language.iso.fl_str_mv eng
language eng
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dc.rights.driver.fl_str_mv Liberar o conteúdo para acesso público.
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eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Biblioteca Digitais de Teses e Dissertações da USP
publisher.none.fl_str_mv Biblioteca Digitais de Teses e Dissertações da USP
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reponame_str Biblioteca Digital de Teses e Dissertações da USP
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