Modeling water uptake in a cereal grain during soaking

A diffusion equation to describe the isothermal absorption of liquid water in a spherical solid that undergoes uniform swelling was derived. The resulting partial differential equation was solved using a finite difference method, taking into consideration water content dependence of the diffusion co...

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Autores principales: Bello, M., Tolaba, M.P., Aguerre, R.J., Suarez, C.
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02608774_v97_n1_p95_Bello
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spelling todo:paper_02608774_v97_n1_p95_Bello2023-10-03T15:12:25Z Modeling water uptake in a cereal grain during soaking Bello, M. Tolaba, M.P. Aguerre, R.J. Suarez, C. Non-linear diffusion Rice kernel Swelling Water absorption Arrhenius equation Brown rice Cereal grains Developed model Diffusion Coefficients Diffusion equations Increasing functions Liquid water Moisture contents Nonlinear diffusion Rice kernel Rice kernels Saturation values Self-diffusion coefficients Soaking conditions Soaking temperature Water uptake Activation energy Diffusion Grain (agricultural product) Moisture determination Partial differential equations Water content Water absorption A diffusion equation to describe the isothermal absorption of liquid water in a spherical solid that undergoes uniform swelling was derived. The resulting partial differential equation was solved using a finite difference method, taking into consideration water content dependence of the diffusion coefficient. The developed model was applied to simulate the water uptake of brown rice for the soaking temperatures of 25, 45, 55 and 65 °C. The estimated "differential" diffusion coefficients were a strongly increasing function of moisture content for all temperatures tested, approaching to the self-diffusion coefficients of water for brown rice moisture contents near to the saturation values. The "integral" diffusion coefficient corresponding to range of moisture content resulting from soaking conditions were calculated and correlated according to Arrhenius equation with an activation energy of 32.5 kJ/mol. © 2009 Elsevier Ltd. All rights reserved. Fil:Bello, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Tolaba, M.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Aguerre, R.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02608774_v97_n1_p95_Bello
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Non-linear diffusion
Rice kernel
Swelling
Water absorption
Arrhenius equation
Brown rice
Cereal grains
Developed model
Diffusion Coefficients
Diffusion equations
Increasing functions
Liquid water
Moisture contents
Nonlinear diffusion
Rice kernel
Rice kernels
Saturation values
Self-diffusion coefficients
Soaking conditions
Soaking temperature
Water uptake
Activation energy
Diffusion
Grain (agricultural product)
Moisture determination
Partial differential equations
Water content
Water absorption
spellingShingle Non-linear diffusion
Rice kernel
Swelling
Water absorption
Arrhenius equation
Brown rice
Cereal grains
Developed model
Diffusion Coefficients
Diffusion equations
Increasing functions
Liquid water
Moisture contents
Nonlinear diffusion
Rice kernel
Rice kernels
Saturation values
Self-diffusion coefficients
Soaking conditions
Soaking temperature
Water uptake
Activation energy
Diffusion
Grain (agricultural product)
Moisture determination
Partial differential equations
Water content
Water absorption
Bello, M.
Tolaba, M.P.
Aguerre, R.J.
Suarez, C.
Modeling water uptake in a cereal grain during soaking
topic_facet Non-linear diffusion
Rice kernel
Swelling
Water absorption
Arrhenius equation
Brown rice
Cereal grains
Developed model
Diffusion Coefficients
Diffusion equations
Increasing functions
Liquid water
Moisture contents
Nonlinear diffusion
Rice kernel
Rice kernels
Saturation values
Self-diffusion coefficients
Soaking conditions
Soaking temperature
Water uptake
Activation energy
Diffusion
Grain (agricultural product)
Moisture determination
Partial differential equations
Water content
Water absorption
description A diffusion equation to describe the isothermal absorption of liquid water in a spherical solid that undergoes uniform swelling was derived. The resulting partial differential equation was solved using a finite difference method, taking into consideration water content dependence of the diffusion coefficient. The developed model was applied to simulate the water uptake of brown rice for the soaking temperatures of 25, 45, 55 and 65 °C. The estimated "differential" diffusion coefficients were a strongly increasing function of moisture content for all temperatures tested, approaching to the self-diffusion coefficients of water for brown rice moisture contents near to the saturation values. The "integral" diffusion coefficient corresponding to range of moisture content resulting from soaking conditions were calculated and correlated according to Arrhenius equation with an activation energy of 32.5 kJ/mol. © 2009 Elsevier Ltd. All rights reserved.
format JOUR
author Bello, M.
Tolaba, M.P.
Aguerre, R.J.
Suarez, C.
author_facet Bello, M.
Tolaba, M.P.
Aguerre, R.J.
Suarez, C.
author_sort Bello, M.
title Modeling water uptake in a cereal grain during soaking
title_short Modeling water uptake in a cereal grain during soaking
title_full Modeling water uptake in a cereal grain during soaking
title_fullStr Modeling water uptake in a cereal grain during soaking
title_full_unstemmed Modeling water uptake in a cereal grain during soaking
title_sort modeling water uptake in a cereal grain during soaking
url http://hdl.handle.net/20.500.12110/paper_02608774_v97_n1_p95_Bello
work_keys_str_mv AT bellom modelingwateruptakeinacerealgrainduringsoaking
AT tolabamp modelingwateruptakeinacerealgrainduringsoaking
AT aguerrerj modelingwateruptakeinacerealgrainduringsoaking
AT suarezc modelingwateruptakeinacerealgrainduringsoaking
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