木材径向导温系数数学模型

Mathematical model of wood thermal diffusivity in radial direction

将木材的细胞结构简化为一个中空的细长圆柱形模型,应用统计热力学原理和类比推理方法推导木材径向导温系数的表达式.利用该表达式计算23种木材的径向导温系数,并与相同条件下的试验数值进行比较,得到的最大理论误差为14%,平均误差为5.9%.

Cell structure of wood was modeled as a＇ cylinder with a thin and long hollow. Theoretical expression of wood thermal dif- fusivity in radial direction was derived by the analogy and statistical thermodynamics based on the cell structure of monoclinic system of wood cellulose crystal. Theoretical values of wood thermal diffusivity in radial direction were calculated with the derived expressions for 23 tree species. The maximum error was 14% and the average error was 5.9% between existing experimental values and theoretical ones for investigated species under the same condition.