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Volume 2, Issue 1, February 2014, Page: 26-30
Mathematical Problem Appearing in Industrial Lumber Drying: A Review
Edi Cahyono, Dept. Mathematics FMIPA Univ. Halu Oleo, Kendari, Indonesia
Received: Feb. 21, 2014;       Published: Mar. 20, 2014
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
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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