Exact Solution and Buckling Configuration of Nanotubes Containing Internal Flowing Fluid

Mathematical and Computational Applications

Sınır, B. Gültekin¹ 

关键词: Nanotube;    Surface effect;    Nonlinear;    Exact solution;    Post-buckling;   

DOI  :  10.3390/mca18030539

学科分类：计算数学

来源: mdpi

【 摘 要 】

In this study, the post-divergence behaviour of nanotubes of conveying internal moving fluid with both inner and outer surface layers are analyzed in nonlinear theorical model. The governing equation has the cubic nonlinearity. The source of this nonlinearity is the surface effect and mid-plane stretching in the nanobeam theory. Exact solutions for the post buckling configurations of nanotubes with clamped-hinged with torsionally spring and hybrid boundary conditions is found. The critical flow velocity at which the nanotube is buckled is shown. The effects of various non-dimensional system parameters on the post-buckling behaviour are investigated.

【 授权许可】

CC BY