Mathematical Problem Appearing in Industrial Lumber Drying: A Review
Science Journal of Applied Mathematics and Statistics
Volume 2, Issue 1, February 2014, Pages: 26-30
Received: Feb. 21, 2014; Published: Mar. 20, 2014
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Author
Edi Cahyono, Dept. Mathematics FMIPA Univ. Halu Oleo, Kendari, Indonesia
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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.
Keywords
Boundary Value Problem, Initial Value Problem, Diffusion Equation, Lumber Drying
To cite this article
Edi Cahyono, Mathematical Problem Appearing in Industrial Lumber Drying: A Review, Science Journal of Applied Mathematics and Statistics. Vol. 2, No. 1, 2014, pp. 26-30. doi: 10.11648/j.sjams.20140201.14
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