The Study Of The Effects Of Small Scale Effect On Carbon Nanotubes Full-filled Flow

The study of the mechanical characteristics of carbon nanotubes is a hot spot in the field of materials science and the methods to research carbon nanotubes are different. Nonlocal continuum mechanics is the main methods to research nonlinear elastic model and its accuracy is proved to be high. This paper adopted the nonlocal continuum theory to studies the mechanical behavior of the filled with fluid of single-walled and double-walled carbon nanotubes. This article uses the Hamiltonian energy method and the variational principle to deduce the differential control equation of full-filled fluid carbon nanotubes, instead of directly using the method of nonlocal continuum model. And the incomplete or even wrong conclusions can be avoided by this.Firstly this paper introduces the characteristics, application and development prospect of the carbon nanotubes and introduces the process of the research methods and summarizes the characteristics of each theory research at the same time. The fluid boundary conditions are not taken into consideration in the previous research and this is not fit with the actual situation. This paper innovative takes the boundary conditions of the fluid into consideration and uses the Knudsen number to indicate the influence of the boundary conditions. Then this paper uses the Euler-Bernoulli beam and Timoshenko beam to model the carbon nanotubes and takes the effect of nanoscale effect, wave number, fluid velocity and fluid boundary conditions into consideration and then deduces the control equation of carbon nanotubes. The results show that the fluid boundary conditions has big effect on the mechanics behavior of carbon nanotubes and there will be bigger influence when all factors is exerting on the model. At last, this paper innovative researches the curved single-walled carbon nanotubes. The results show that there are much difference between straight carbon nanotubes and curved carbon nanotubes. when the curvature increases, vibration frequency of short curved carbon nanotubes will increase obviously.