中文摘要：

采用热电模拟的方法研究了非对称树状二分岔网络结构的有效导热系数,给出了此类结构有效导热系数的解析表达式。结果表明,此类结构的有效导热系数大小与结构本身的非对称率α,分岔处直径的幂律指数p以及分岔级数m有关,并分析了各参数对整个结构有效导热系数的具体影响。结果发现,当幂律指数p=2、非对称率α=1即为对称分岔时,整个结构的有效导热系数取得最大值,且等于组成该结构的材料本身的导热系数。

英文摘要：

According to the thermoelectric analogue method,the effective thermal conductivity of tree-type network with asymmetric structure was derived.It is shown that,the effective thermal conductivity depends on its asymmetric rates α,the power-law index of the diameter in bifurcation and the bifurcation series m.The detail effects of these parameters on the effective thermal conductivity of the structure were discussed.The results show that,the maximum effective thermal conductivity of the structure is obtained when the power-law index p=2 and the asymmetric rates α=1,and it equals to the thermal conductivity of the structure material itself.