Does natural frequency quantify the mass flow rate of fluid conveying single-walled carbon nanotubes?

The structural vibration analysis of fluid conveying single-walled carbon nanotubes (SWCNTs) is carried out to study natural frequencies. Continuum modeling of SWCNTs required Young's modulus and wall thickness of SWCNTs. To circumvent the individual selection of these parameters from the large scattered (called Yakobsons paradox) values reported from the prior studies, atomistic simulations are used to compute the equivalent bending rigidity. This analysis is particularly useful to estimate the mass flow rate of fluid using the natural frequency of SWCNTs. A numerical expression is developed to quantify the mass flow rate in terms of natural frequency and dimensionless parameters of the fluid conveying SWCNTs.