Two dimensional heat transfers in wood using mathematic model; a case study: Beech (Fagus orientalis) and Poplar wood (Populus deltoides)

In this study, two dimensional mathematic models were developed for predicting wood temperature at different depth and density of wood during heating process. Fractional differential equations were applied for development of the model. For evaluating effect of wood density on heat transfer, Beech wood (Fagus orientalis) and poplar wood (Populous deltoides) with densities of 0. 67 g cm-3 and 0. 43 g cm-3 and moisture content of 12% was applied. Holes of 5 mm diameter were made on the board specific distances to measure the temperature using thermocouple. Good agreement was found between model predictions and experimental data. Heat loss from edges of wood block under effect of environmental conditions was identified by model. However, model has to be modified for increasing its accuracy. It had high ability for temperature prediction at different depth of wood during heating by increase of model accuracy, it can be used for wood drying and heat treatment applications.