As a hollow cylindrical structure, a nanotube has potential to convey nanoflow, which has opened up a field of research. Functionally graded nanotube as a designable structure with continuous variation of material properties can perform better than uniform nanotube, especially in physical field without introducing large stress concentration. In this article, we take the thermal effect into account and investigated the wave propagation characteristics of functionally graded material nanotube conveying nanoflow. In particular, we compared the effects of different kinds of volume fraction function and also the cases of uniform and nonuniform temperature variation. According to the numerical results, we can conclude that as we decrease the exponent n of the volume fraction function, the system is enhanced and larger enhancement can be observed in the case of the power volume fraction function. In addition, there is a positive correlation between the stability and both the temperature variation and the nonuniformity of temperature variation.

作为中空的圆柱形结构，纳米管具有传递纳米流的潜力，这开辟了一个研究领域。功能梯度纳米管作为一种可设计的结构，具有连续不断的材料性能变化，其性能要优于均匀的纳米管，尤其是在物理领域，而不会引入大的应力集中。在本文中，我们考虑了热效应，并研究了功能梯度材料纳米管传输纳米流的波传播特性。特别是，我们比较了不同种类的体积分数函数的影响，以及均匀和不均匀温度变化的情况。根据数值结果，我们可以得出结论，随着我们减小指数n在功率体积分数函数的情况下，系统得到了增强，并且可以观察到更大的增强。另外，在稳定性与温度变化以及温度变化的不均匀性之间存在正相关。