Effect of flow pulsations on chaos in nanotubes using nonlocal strain gradient theory

Mergen H. Ghayesh, Ali Farajpour*, Hamed Farokhi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)
31 Downloads (Pure)


In this article, a chaos analysis is performed for the nonlinear coupled dynamics of nanotubes conveying pulsatile fluid for the first time. A size-dependent advanced elasticity model is developed with consideration of stress nonlocality as well as the gradient of strain components. After deriving the nonlinear motion equations using Hamilton's approach, they are numerically solved via application of a time-integration technique for a system with a high-dimensional degree of freedom. Chaos analysis is performed for the nanotube at both subcritical and supercritical flow regimes. Both mean fluid velocity and the amplitude of velocity pulsation are varied as the bifurcation parameter. The proposed size-dependent continuum modelling and numerical results would be useful in order to tailor the system parameters to avoid chaos in nanoelectromechanical devices using fluid-conveying nanotubes.

Original languageEnglish
Article number105090
JournalCommunications in Nonlinear Science and Numerical Simulation
Early online date31 Oct 2019
Publication statusPublished - 1 Apr 2020


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