SOYBEAN HYDRATION: INVESTIGATION OF DISTRIBUTED PARAMETER MODELS WITH RESPECT TO SURFACE BOUNDARY CONDITIONS

The behavior of three distributed parameter mathematical models was investigated in this study with three different surface boundary conditions: (1) equilibrium moisture is instantly reached at the surface, (2) surface moisture content behaves as a first-order process, and (3) diffusive and convecti...

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Bibliographic Details
Published in:Chemical engineering communications 2013-07, Vol.200 (7), p.959-976
Main Authors: Nicolin, D. J., Coutinho, M. R., Andrade, C. M. G., Jorge, L. M. M.
Format: Article
Language:English
Subjects:
Boundary conditions
Diffusion
Distributed parameters models
Fluxes
Grains
Hydration
Mathematical analysis
Mathematical models
Modeling
Moisture content
Soybean hydration
Soybeans
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Summary:The behavior of three distributed parameter mathematical models was investigated in this study with three different surface boundary conditions: (1) equilibrium moisture is instantly reached at the surface, (2) surface moisture content behaves as a first-order process, and (3) diffusive and convective fluxes are equal at the surface of the grain. The three models were numerically solved and fitted to experimental data of soybean grain hydration by the least squares method. The best model was chosen to analyze the behavior of the effective diffusion coefficient inside the grain as a function of hydration time, temperature, and moisture content. The model with the boundary condition of equality of diffusive and convective fluxes at the surface showed the best fitting of experimental data. The effective diffusion coefficient showed considerable variations with moisture content, temperature, and hydration time, and it was well correlated by the equation: D eff  = a 0  + a 1 X + a 2 T + a 3 X 2  + a 4 XT + a 5 T 2  + a 6 X 2 T + a 7 XT 2  + a 8 T 3 .
ISSN:0098-6445
1563-5201
DOI:10.1080/00986445.2012.732831