Numerical Solution of a Nonlinear Diffusion Model for Soybean Hydration with Moving Boundary
-
Douglas J. Nicolin
,
Gisleine E. C. da Silva
Abstract
Variable diffusivity and volume of the grains are taken into account in the diffusion model that describes mass transfer in soybean hydration. The variable space grid method (VSGM) was used to consider the increase in grain size, and the diffusivity was considered an exponential function of the moisture content. An equation for the behavior of the grain radius as a function of time was obtained by global mass balance over the soybean grain and the differential equation considered that the increase in radius happens due to the influence of the convective and diffusive fluxes at the surface of the grains. The model was solved by an explicit numerical scheme which presented satisfactory results. The results showed the behavior of moisture profiles obtained as a function of time and radial position and also showed how the grain radius increased with time and changed the solution domain of the diffusion equation.
Funding statement: Funding: This work was financially supported by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior.
Nomenclature
Dimensionless constant
Dimensionless constant
Diffusivity (m2/s)
Pre-exponential factor (m2/s)
Radial coordinate index
Time coordinate index
Convective mass transfer coefficient (kg/m2.s)
Exponential factor (kgDS/kgwater)
Number of divisions in time coordinate
Number of divisions in radial coordinate
Radial coordinate (m)
Dimensionless radius
Radius of soybean grains (m)
Initial radius (m)
Dimensionless grain radius
Time coordinate (s)
Dimensionless time
Velocity of the moving boundary (m/s)
Moisture content on dry basis (kgwater/kgDS)
Average moisture content (kgwater/kgDS)
Moisture content at the surface of the grain (kgwater/kgDS)
Initial moisture content (kgwater/kgDS)
Equilibrium moisture content (kgwater/kgDS)
Dimensionless moisture content
- Greek symbols
Difference operator
Dimensionless exponential factor
Water density (kg/m3)
Dry solid density (kg/m3)
Acknowledgment
This work was supported by the Coordination for the Improvement of Higher Education Personnel – CAPES – Brazil.
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©2015 by De Gruyter
Articles in the same Issue
- Frontmatter
- Research Articles
- Numerical Solution of a Nonlinear Diffusion Model for Soybean Hydration with Moving Boundary
- Simulation and Performance of a Solar Drying Unit with Storage for Aromatic and Medicinal Plants
- Preparation of Nano-curcumin with Enhanced Dissolution Using Ultrasonic-Assisted Supercritical Anti-solvent Technique
- Effect of Various Concentration of β-Cyclodextrin Inclusion Complexes Containing trans-Cinnamaldehyde by Molecular Self-Assembly
- Effects of Amount of Batter in Baking Cup on Muffin Quality
- Influence of Tapioca Starch on Thermal Properties of Wheat Flour-Based Batter and Quality of Fried Battered Chicken Wingsticks
- Clarification of Date Syrup by Activated Carbon: Investigation on Kinetics, Equilibrium Isotherm, and Thermodynamics of Interactions
- Changes in Some Quality Properties of Kefir during Storage and Inhibition Effect of Water Soluble Extracts on Angiotensin-I Converting Enzyme Purified by Human Plasma
- Drying Characteristics and Assessment of Physicochemical and Microstructural Properties of Dried Culinary Banana Slices
- Multi-Objective Optimization of the Pasteurization Process of Pumpkin Cubes Packaged in Glass Jars
- Mathematical Modeling of Thin-Layer Solar Drying for Yarrow, Coriander and Hollyhock
- Shorter Communication
- Drying Kinetics of American Ginseng Slices in Thin-layer Air Impingement Dryer
Articles in the same Issue
- Frontmatter
- Research Articles
- Numerical Solution of a Nonlinear Diffusion Model for Soybean Hydration with Moving Boundary
- Simulation and Performance of a Solar Drying Unit with Storage for Aromatic and Medicinal Plants
- Preparation of Nano-curcumin with Enhanced Dissolution Using Ultrasonic-Assisted Supercritical Anti-solvent Technique
- Effect of Various Concentration of β-Cyclodextrin Inclusion Complexes Containing trans-Cinnamaldehyde by Molecular Self-Assembly
- Effects of Amount of Batter in Baking Cup on Muffin Quality
- Influence of Tapioca Starch on Thermal Properties of Wheat Flour-Based Batter and Quality of Fried Battered Chicken Wingsticks
- Clarification of Date Syrup by Activated Carbon: Investigation on Kinetics, Equilibrium Isotherm, and Thermodynamics of Interactions
- Changes in Some Quality Properties of Kefir during Storage and Inhibition Effect of Water Soluble Extracts on Angiotensin-I Converting Enzyme Purified by Human Plasma
- Drying Characteristics and Assessment of Physicochemical and Microstructural Properties of Dried Culinary Banana Slices
- Multi-Objective Optimization of the Pasteurization Process of Pumpkin Cubes Packaged in Glass Jars
- Mathematical Modeling of Thin-Layer Solar Drying for Yarrow, Coriander and Hollyhock
- Shorter Communication
- Drying Kinetics of American Ginseng Slices in Thin-layer Air Impingement Dryer
