Torsional vibration of single-walled carbon nanotubes immersing in compressible Newtonian fluid
الموضوعات :
Zahra Azimzadeh
1
,
Alireza Fatahi-Vajari
2
1 - Department of Mathematics, College of Sciences, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, Iran
2 - Department of Mechanical Engineering, Shahryar Branch, Islamic Azad University, Shahryar, Iran
الکلمات المفتاحية: Doublet mechanics, damped frequency, fluid-filled media, single-walled carbon nanotubes, torsional vibration, compressible Newtonian fluid.,
ملخص المقالة :
This paper investigates the torsional vibration of single-walled carbon nanotubes (SWCNTs) in a fluid media. Doublet mechanics (DM) model is used to consider microstructural features of the tube along with Navier-stoke's equation is considered to incorporate fluid properties. The medium surrounding the nanotube is typically modeled as a compressible Newtonian fluid and purely torsional vibration of an elastic nanotube in fluid is studied. An implicit partial differential equation that governs the torsional vibration of SWCNTs vibrating in fluid is derived and then solved to give the damped frequency of the tube. Because of fluid interaction with the nanotube, the frequency obtained has complex form which in real part is the main frequency and the imaginary part represents the damping severity. The effects of microstructure along with fluid compressibility and viscosity in the torsional vibration mode of an elastic nanotube are discussed in details. The results obtained herein are compared with the existing theoretical and experimental results and good agreement especially with the latter is observed.
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