摘要
通过数据拟合,建立单壁碳纳米管的热导率与温度和管长的关系式、单位体积比热随温度变化的关系式,并进一步得出声子平均自由程随温度和管长变化的关系式.利用这些关系式定量分析热导率随温度和管长的变化,研究热导率—温度关系曲线达到峰值应当满足的条件以及影响峰值位置的因素.提出不同于指数函数的描述热导率的管长依赖性数学表达式,该式可以描述热导率随管长的增加趋于有限值的情形.定量分析声子平均自由程随温度和管长的变化,探讨热导率随管长增加趋于有限值的原因.
Mathematical relations between the thermal conductivity of single-walled carbon nanotubes and temperature as well as nanotube length,and between the specific heat capacity and temperature,were established by data fitting,based on which the relation between the mean free path of phonon and temperature as well as nanotube length was obtained.By using these relations,the change of thermal conductivity with temperature and nanotube length was quantitatively analyzed;and the conditions under which the thermal conductivity-temperature curve reach peak value and the influence factors of peak position were demonstrated.Instead of the exponential relationship,a new mathematical expression of the nanotube length dependence of thermal conductivity was proposed,which can describe the convergence of the thermal conductivity to a finite value.The change of the mean free path of phonon with temperature and nanotube length was also quantitatively analyzed,and the reason why the thermal conductivity converges to a finite value with increasing nanotube length was discussed.
出处
《安徽大学学报（自然科学版）》
CAS
北大核心
2015年第1期37-45,共9页
Journal of Anhui University(Natural Science Edition)
基金
河南省电力公司电力科学研究院科研基金资助项目
关键词
单壁碳纳米管
热导率
声子平均自由程
温度
管长
single-walled carbon nanotube
thermal conductivity
mean free path of phonon
temperature
nanotube length
作者简介
作者简介：刘煜（1957-），男，山东青岛人，河南省电力公司电力科学研究院高级工程师．
