This article is a review of our work on the modeling of lumber drying that we have started in 2003. We consider a lumber drying process in a kiln chamber where from mathematical point of views, this is an initial and boundary value problem. The Moisture Content (MC) is measured at the center of the lumber by applying a nail that thousands times of the pore size of the wood. This leads to apply macro modeling for the diffusion process of the water inside the lumber. MC acts as the state variable u of the thickness x and time t. The state variable satisfies a diffusion equation. The Equilibrium Moisture Content (EMC) of the air acts as the boundary condition. We report the progress on mathematical modeling and compared the results with data from industry.
| Published in | Science Journal of Applied Mathematics and Statistics (Volume 2, Issue 1) |
| DOI | 10.11648/j.sjams.20140201.14 |
| Page(s) | 26-30 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2014. Published by Science Publishing Group |
Boundary Value Problem, Initial Value Problem, Diffusion Equation, Lumber Drying
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| [4] | E. Cahyono, Y Soeharyadi & Mukhsar, "A smooth diffusion rate model of wood drying: a simulation toward more efficient process in industry," Jurnal Teknik Industri, vol. 10, no. 1, 2008, pp. 1-10. |
| [5] | La Gubu & E. Cahyono, "A quasi-linear diffusivity approach for diffusion process of lumber drying," Proceedings of the International Conference on Applied Mathematics, Bandung, Indonesia, 2005, pp. 1002-1006. |
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| [10] | S. Omarsson, Numerical analysis of moisture related distortion in sawn timber, PhD thesis, Dept. of Structural Mechanics, Chalmers University of Technology, Goteborg, Sweden, 1999. |
| [11] | S. Ormarsson, D. Cown and O. Dahlblom, "Finite element simulations of moisture related distortion in laminated timber products of Norway spruce and radiata pine," in 8th International IUFRO Wood Drying Conference, 2003, pp. 27-33. |
| [12] | S. Omarsson, O. Dahlblom, and H. Peterson, "A numerical study of shape stability of sawn timber subjected to moisture variation. Part 2: Simulation of drying board," Wood Science and Technology, vol. 33, 1999, pp. 407-423. |
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| [14] | J. Passard and P. Perre, "Creep test under water-saturated conditions: do the anisotropy ratios of wood change with the temperature and time dependency?", 7th International IUFRO Conference on Wood Drying, 2001. |
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APA Style
Edi Cahyono. (2014). Mathematical Problem Appearing in Industrial Lumber Drying: A Review. Science Journal of Applied Mathematics and Statistics, 2(1), 26-30. https://doi.org/10.11648/j.sjams.20140201.14
ACS Style
Edi Cahyono. Mathematical Problem Appearing in Industrial Lumber Drying: A Review. Sci. J. Appl. Math. Stat. 2014, 2(1), 26-30. doi: 10.11648/j.sjams.20140201.14
AMA Style
Edi Cahyono. Mathematical Problem Appearing in Industrial Lumber Drying: A Review. Sci J Appl Math Stat. 2014;2(1):26-30. doi: 10.11648/j.sjams.20140201.14
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Download@article{10.11648/j.sjams.20140201.14,
author = {Edi Cahyono},
title = {Mathematical Problem Appearing in Industrial Lumber Drying: A Review},
journal = {Science Journal of Applied Mathematics and Statistics},
volume = {2},
number = {1},
pages = {26-30},
doi = {10.11648/j.sjams.20140201.14},
url = {https://doi.org/10.11648/j.sjams.20140201.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20140201.14},
abstract = {This article is a review of our work on the modeling of lumber drying that we have started in 2003. We consider a lumber drying process in a kiln chamber where from mathematical point of views, this is an initial and boundary value problem. The Moisture Content (MC) is measured at the center of the lumber by applying a nail that thousands times of the pore size of the wood. This leads to apply macro modeling for the diffusion process of the water inside the lumber. MC acts as the state variable u of the thickness x and time t. The state variable satisfies a diffusion equation. The Equilibrium Moisture Content (EMC) of the air acts as the boundary condition. We report the progress on mathematical modeling and compared the results with data from industry.},
year = {2014}
}
TY - JOUR T1 - Mathematical Problem Appearing in Industrial Lumber Drying: A Review AU - Edi Cahyono Y1 - 2014/03/20 PY - 2014 N1 - https://doi.org/10.11648/j.sjams.20140201.14 DO - 10.11648/j.sjams.20140201.14 T2 - Science Journal of Applied Mathematics and Statistics JF - Science Journal of Applied Mathematics and Statistics JO - Science Journal of Applied Mathematics and Statistics SP - 26 EP - 30 PB - Science Publishing Group SN - 2376-9513 UR - https://doi.org/10.11648/j.sjams.20140201.14 AB - This article is a review of our work on the modeling of lumber drying that we have started in 2003. We consider a lumber drying process in a kiln chamber where from mathematical point of views, this is an initial and boundary value problem. The Moisture Content (MC) is measured at the center of the lumber by applying a nail that thousands times of the pore size of the wood. This leads to apply macro modeling for the diffusion process of the water inside the lumber. MC acts as the state variable u of the thickness x and time t. The state variable satisfies a diffusion equation. The Equilibrium Moisture Content (EMC) of the air acts as the boundary condition. We report the progress on mathematical modeling and compared the results with data from industry. VL - 2 IS - 1 ER -
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