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Article

Exact Solution and Buckling Configuration of Nanotubes Containing Internal Flowing Fluid

by
B. Gültekin Sınır
*,
F. Esra Uz
* and
Sefa Ergun
*
Celal Bayar University, Faculty of Engineering, Department of Civil Engineering 45140, Muradiye, Manisa, Turkey
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2013, 18(3), 539-547; https://doi.org/10.3390/mca18030539
Published: 1 December 2013
Versions Notes

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.
Keywords: Nanotube; Surface effect; Nonlinear; Exact solution; Post-buckling Nanotube; Surface effect; Nonlinear; Exact solution; Post-buckling

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MDPI and ACS Style

Sınır, B.G.; Uz, F.E.; Ergun, S. Exact Solution and Buckling Configuration of Nanotubes Containing Internal Flowing Fluid. Math. Comput. Appl. 2013, 18, 539-547. https://doi.org/10.3390/mca18030539

AMA Style

Sınır BG, Uz FE, Ergun S. Exact Solution and Buckling Configuration of Nanotubes Containing Internal Flowing Fluid. Mathematical and Computational Applications. 2013; 18(3):539-547. https://doi.org/10.3390/mca18030539

Chicago/Turabian Style

Sınır, B. Gültekin, F. Esra Uz, and Sefa Ergun. 2013. "Exact Solution and Buckling Configuration of Nanotubes Containing Internal Flowing Fluid" Mathematical and Computational Applications 18, no. 3: 539-547. https://doi.org/10.3390/mca18030539

APA Style

Sınır, B. G., Uz, F. E., & Ergun, S. (2013). Exact Solution and Buckling Configuration of Nanotubes Containing Internal Flowing Fluid. Mathematical and Computational Applications, 18(3), 539-547. https://doi.org/10.3390/mca18030539

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