<p>This study evaluates the effects of temperature (30–50&#xa0;°C) and sucrose concentration (40–60%) on the osmotic dehydration (OD) of bayo beans (<i>Phaseolus vulgaris</i>), focusing on water loss (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\:WL\)</EquationSource> </InlineEquation>), solid gain (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\:SG\)</EquationSource> </InlineEquation>), and the estimation of diffusion coefficients (<i>D</i>). The Azuara and Page models were applied, and a new model was proposed. Phenomenological models with geometries of infinite slab, parallelepiped, finite cylinder, hemispherical, sphericity factor, and sphere were employed to analyze mass transfer, with the Bayesian Information Criterion (<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\:BIC\)</EquationSource> </InlineEquation>) guiding model selection. The new empirical model demonstrated accuracy comparable to the Page model, with <i>BIC</i> values ranging from −204 to −126 and −207 to −128, respectively. <i>D</i> for <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\:WL\)</EquationSource> </InlineEquation>, estimated using the hemispherical model, ranged from 0.709 × <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\:{10}^{-10}\)</EquationSource> </InlineEquation> to 2.21 × <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\:{10}^{-10}\)</EquationSource> </InlineEquation> m<sup>2</sup>/s, with this model providing the best fit. For <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\:SG\)</EquationSource> </InlineEquation>, planar geometries such as the parallelepiped yielded better fits, with coefficients ranging from 0.181 × <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\:{10}^{-10}\)</EquationSource> </InlineEquation> and 0.326 × <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(\:{10}^{-10}\)</EquationSource> </InlineEquation> m<sup>2</sup>/s, suggesting dominant surface interactions. Activation energy values indicated distinct mechanisms governing <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(\:WL\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(\:SG\)</EquationSource> </InlineEquation>, each influenced by temperature and sucrose levels. These findings underscore the importance of selecting suitable geometric models to describe mass transfer in OD and support the development of innovative bean-based products.</p>

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Mass transfer dynamics and modeling in osmotic dehydration of Bayo beans (Phaseolus vulgaris): evaluating geometries and predictive models

  • Enrique Flores Andrade,
  • Karina Huerta Vera,
  • Maribel Jiménez Fernández,
  • Luz Alicia Pascual Pineda,
  • Adriana Contreras Oliva,
  • Rafael Uzárraga Salazar,
  • Ubaldo Richard Marin Castro,
  • Gabriel R. Hernández Martínez,
  • Marisol Castillo Morales

摘要

This study evaluates the effects of temperature (30–50 °C) and sucrose concentration (40–60%) on the osmotic dehydration (OD) of bayo beans (Phaseolus vulgaris), focusing on water loss ( \(\:WL\) ), solid gain ( \(\:SG\) ), and the estimation of diffusion coefficients (D). The Azuara and Page models were applied, and a new model was proposed. Phenomenological models with geometries of infinite slab, parallelepiped, finite cylinder, hemispherical, sphericity factor, and sphere were employed to analyze mass transfer, with the Bayesian Information Criterion ( \(\:BIC\) ) guiding model selection. The new empirical model demonstrated accuracy comparable to the Page model, with BIC values ranging from −204 to −126 and −207 to −128, respectively. D for \(\:WL\) , estimated using the hemispherical model, ranged from 0.709 × \(\:{10}^{-10}\) to 2.21 × \(\:{10}^{-10}\) m2/s, with this model providing the best fit. For \(\:SG\) , planar geometries such as the parallelepiped yielded better fits, with coefficients ranging from 0.181 × \(\:{10}^{-10}\) and 0.326 × \(\:{10}^{-10}\) m2/s, suggesting dominant surface interactions. Activation energy values indicated distinct mechanisms governing \(\:WL\) and \(\:SG\) , each influenced by temperature and sucrose levels. These findings underscore the importance of selecting suitable geometric models to describe mass transfer in OD and support the development of innovative bean-based products.