Exact Solution and Buckling Configuration of Nanotubes Containing Internal Flowing Fluid

B Gültekin Sınır,Sefa Ergun,F Esra Uz

doi:10.3390/mca18030539

B Gültekin Sınır, Sefa Ergun + Show 1 more

Open Access

https://doi.org/10.3390/mca18030539

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Abstract

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.

Highlights

Nanotubes/nanobeams are of great value in nanotechnology practice
We will study on a classify of nano-fluidic devices that may be characterized as nanotubes conveying internal moving fluid, transporting fluid
We present exact solution post buckling configurations of nanobeams with clamped-hinged with torsionally spring and hybrid boundary conditions

Summary

INTRODUCTION

Nanotubes/nanobeams are of great value in nanotechnology practice. Large modulus of elasticity and small specific weight of carbon nanotubes make them materials for applications in the nanotechnology. The main aim of these studies of buckling problems is to find postbuckling configurations of the nanobeams. [7] Exact solutions for the post buckling configurations of beams and the dynamic stability of the obtained postbuckling configurations are presented. In the essay [9] is to present exact and effective expressions for the postbuckling configurations of single-walled carbon nanotubes with various conditions. [12] Buckling and post-buckling analysis of fluid conveying multi-walled carbon nanotubes are analytically examined. Exact solutions for the post buckling configurations of nanobeams are exhibited. We present exact solution post buckling configurations of nanobeams with clamped-hinged with torsionally spring and hybrid boundary conditions. The essential aims of studies of buckling problems are to find their associated buckled shapes and critical flow velocity which is relative to the surface effect

GOVERNING EQUATION

NONLINEAR EQUILIBRIUM SOLUTIONS

Clamped-hinged with torsionally spring

Hybrid boundary conditions

NUMERICAL RESULTS

CONCLUSIONS