为开发 nanouidic 设备由碳 nanotubes 的大潜力激发了,这份报纸论述一块非局部的橡皮,有考虑的紧张坡度的第二份订单的 Timoshenko 多横梁模型并且在传送 uids 的多围的碳 nanotubes 导出 exural 波浪的相应分散关系。学习证明动人的流动在碳 nanotubes 减少最低分支的 exural 波浪的阶段速度。最低分支的 exural 波浪的阶段速度随流动速度的增加减少。然而,波浪分散的另外的分支上的流动速度的效果不是明显的。非局部的弹性在 exural 波浪的分散上描绘的微观结构的效果随波浪数字的增加变得越来越显著。
Motivated by the great potential of carbon nanotubes for developing nanofluidic devices, this paper presents a nonlocal elastic, Timoshenko multi-beam model with the second order of strain gradient taken into consideration and derives the corresponding dispersion relation of flexural wave in multi-walled carbon nanotubes conveying fuids. The study shows that the moving flow reduces the phase velocity of flexural wave of the lowest branch in carbon nanotubes. The phase velocity of flexural wave of the lowest branch decreases with an increase of flow velocity. However, the effects of flow velocity on the other branches of the wave dispersion are not obvious. The effect of microstructure characterized by nonlocal elasticity on the dispersion of flexural wave becomes more and more remarkable with an increase in wave number.