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类比法研究木材径向导热系数
引用本文:林金国,陈瑞英,杨庆贤.类比法研究木材径向导热系数[J].生物数学学报,2005,20(2):251-255.
作者姓名:林金国  陈瑞英  杨庆贤
作者单位:福建农林大学,福建,福州,350002
基金项目:国家自然科学基金资助项目(30271057)
摘    要:根据木材的细胞结构,应用类比推理方法,推导木材的径向导热系数的数学表达式,从中得出木材径向导热系数仅是木材孔隙率函数的结论.孔隙率越大,导热系数越小,并应用该表达式计算20种木材的径向导热系数,理论值的最大误差不超过14%,平均误差在5%以内。

关 键 词:径向导热系数  木材  类比法  数学表达式  细胞结构  推理方法  最大误差  平均误差  孔隙率  理论值  应用
文章编号:1001-9626(2005)02-0251-05
修稿时间:2003年10月10

Study on the Wood Thermal Conductivity in Radial Direction by Analogism
LIN Jin-guo,CHEN Rui-ying,YANG Qing-xian.Study on the Wood Thermal Conductivity in Radial Direction by Analogism[J].Journal of Biomathematics,2005,20(2):251-255.
Authors:LIN Jin-guo  CHEN Rui-ying  YANG Qing-xian
Abstract:The mathematical expression of wood thermal conductivity in radial direction is derived by analogism from the cell structure of the wood. The expression show that wood thermal conductivity in radial direction is only correlative to porosity of wood , which thermal conductivity decreases as porosity of wood increases. With the expression derived, the theoretical values of thermal conductivity for 20 tree species are calculated and comparison is also made to the experimental values under the same conditions. The results show that the maximum error is less than 14% and mean error is less than 5%.
Keywords:Thermal conductivity  Wood  Radial direction  Analogism
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