基于纳观流固耦合模型的充流碳纳米管动力系统研究

项目名称： 基于纳观流固耦合模型的充流碳纳米管动力系统研究

项目编号： No.11462010

项目类型： 地区科学基金项目

立项/批准年度： 2015

项目学科： 数理科学和化学

项目作者： 杨洋

作者单位： 昆明理工大学

项目金额： 45万元

中文摘要： 扩展连续介质力学的理论和方法，分析充流碳纳米管流固耦合动力学特性是目前纳米学科领域的重要研究方向之一，但由于经典和纳米力学二者基本理论构架上的差异，导致这种学科的交叉存在较多的基础理论问题有待于进一步解决。本项目拟利用非局部连续介质理论，引入纳观非局部效应，结合纳米尺度固体与流体间各种微观长程作用力，根据经典力学中哈密顿原理，构建合理描述充流碳纳米管流固耦合体系动力学特性的非局部模型，推导包含纳观效应的非局部充流碳纳米管梁/壳动力学控制方程及不同约束的边界条件，分析充流碳纳米管动力特性，研究不同结构特征的碳纳米管/微纳米流体相互作用机理，探索纳米尺度效应对充流碳纳米管流固耦合动力学特性的影响规律，揭示这种非局部效应对充流碳纳米管动力学特性的影响机理。本项目的研究对揭示纳米尺度流体/结构相互作用系统的特殊性质、以及该体系的波动与振动特性、储流输流和热传导性质，都具有重要的理论和应用价值。

中文关键词： 微纳米流体；充流碳纳米管；非局部理论；哈密顿原理；动力学特性

英文摘要： Study on the dynamic characteristics of carbon nanotubes based on the extended contimuum elastic theory is a hot research topic in nano science, even though the difference of basic framework between the classical elastic theory and nano scale theory due to some unresolved theoritical problems in such interdiscipline. In this proposal, the new structure/fluid interaction models for fluid-filled carbon nanotube is established based on nonlocal elastic continuum theory when considering nonlocal effect of nanotube caused by nano scale long-range interactions. The governing equations and boundary conditions for new nonlocal continuum fluid conveying beam and shell models are plan to be established according to the Hamilton's principle. Based on the new models, the dynamic characteristics of fluid-filled nanotube systems with various structures are plan to be analyzed. By researching the interactions between nanotubes and nano-fluid, the influence from nano scale effects on the dynamic properties of nanotube/fluid systems will be further studied. The mechanism of such influence will be studied in details. All of the numerical results by this proposal will be theoretically and practically valuable to the wave propagation, vibration, nano-fluid storage, nano-fiuld conveying and thermal conduction.

英文关键词： Nano scale fluid;fluid-filled carbon nanotubes;nonlocal continuum theory;Hamilton Principle;Dynamic characteristics