磁场环境下输流双壁碳纳米管中波的传播

Wave Propagation in Fluid-Conveying Double-Walled Carbon Nanotubes under Magnetic Field

摘要: 基于非局部弹性理论，本文研究了磁场环境下输流双壁碳纳米管中弯曲波的传播特性。采用非局部欧拉梁理论，建立磁场作用下输流双壁碳纳米管得波动方程，双壁碳纳米管的两层管之间通过范德华力相互作用。通过绘制不同情况下的色散关系图，分析了管内流体、磁场强度以及非局部参数对输流双壁碳纳米管中波的传播特性的影响，结果表明，磁场对波的传播频率有重要影响，增强磁场将增大波的传播频率，且增强磁场会减弱非局部效应。

Abstract: In this paper, wave propagation in fluid-conveying double-walled carbon nanotubes under magnetic field is investigated based on nonlocal elasticity theory. The wave equation of fluid-conveying double-walled carbon nanotubes under magnetic field is derived utilizing nonlocal Euler beam theory. The interaction of the double tubes is considered with the van der Waals interaction pres-sure. We analyze the influences of internal fluid, magnetic field intensity and nonlocal coefficient on the wave propagation characteristics of fluid-conveying double-walled carbon nanotubes through the dispersion relations under various circumstances. The results show that the magnetic field plays an important role on the wave propagation frequency. Increasing the magnetic intensity will increase the wave propagation frequency and weaken the nonlocal effect.