THERMO-FLUIDIC PARAMETERS EFFECTS ON NONLINEAR VIBRATION OF FLUID-CONVEYING NANOTUBE RESTING ON ELASTIC FOUNDATIONS USING HOMOTOPY PERTURBATION METHOD

Year 2018, Volume: 4 Issue: 4 - Special Issue 8: International Technology Congress 2017, Pune, India, 2211 - 2233, 10.04.2018

M. G. Sobamowo

https://doi.org/10.18186/journal-of-thermal-engineering.434043

Cited By: 7

Abstract

In this paper, effects of thermo-fluidic
parameters on the nonlinear dynamic behaviours of single-walled carbon nanotube
conveying fluid with slip boundary conditions and resting on linear and
nonlinear elastic foundations under external applied tension and global
pressure is studied using homotopy perturbation method.  From the result, it is observed that increase
in the Knudsen number, the slip parameter, 
leads to decrease in the frequency of vibration and the critical
velocity while natural frequency and the critical fluid velocity increase as
the in stretching effect increases.  Also, as the Knudsen number increases, the bending
stiffness of the nanotube decreases and in consequent, the critical continuum
flow velocity decreases as the curves shift to the lowest frequency zone.
As the change in temperature increases, the natural
frequencies and the critical flow velocity of the structure increase for the
low or room temperature while at high temperature, increase in temperature
change, decreases the natural frequencies and the critical flow velocity of the
structure. Further, it is established that the alteration of nonlinear
flow-induced frequency from linear frequency is significant as the amplitude,
flow velocity and axial tension increase. The developed analytical solutions
can be used as starting points for better understanding of the relationship
between the physical quantities of the problem.

Keywords

Thermo-Fluidic Effects, Non-Linear Vibration, Slip Boundary Condition, Fluid-Conveying Nanotube, Homotopy Perturbation Method

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