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Math. Comput. Appl. 2013, 18(3), 539-547; doi:10.3390/mca18030539

Exact Solution and Buckling Configuration of Nanotubes Containing Internal Flowing Fluid

Celal Bayar University, Faculty of Engineering, Department of Civil Engineering 45140, Muradiye, Manisa, Turkey
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Published: 1 December 2013
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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.
Keywords: Nanotube; Surface effect; Nonlinear; Exact solution; Post-buckling Nanotube; Surface effect; Nonlinear; Exact solution; Post-buckling
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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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.

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