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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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 |
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