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

Ghayesh, Mergen H., Farajpour, Ali and Farokhi, Hamed (2020) Effect of flow pulsations on chaos in nanotubes using nonlocal strain gradient theory. Communications in Nonlinear Science and Numerical Simulation, 83. p. 105090. ISSN 1007-5704

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Official URL: https://doi.org/10.1016/j.cnsns.2019.105090

Abstract

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.

Item Type: Article
Uncontrolled Keywords: Nanotubes, Flow pulsation, Nonlinear viscoelasticity, Axial inertia, Chaotic response
Subjects: G100 Mathematics
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Elena Carlaw
Date Deposited: 21 Nov 2019 10:28
Last Modified: 21 Jan 2020 12:30
URI: http://nrl.northumbria.ac.uk/id/eprint/41558

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