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Research Papers: Fluid-Structure Interaction

Collective Effect of Fluid's Coriolis Force and Nanoscale's Parameter on Instability Pattern and Vibration Characteristic of Fluid-Conveying Carbon Nanotubes

[+] Author and Article Information
Arman Ghasemi

Department of Mechanical Engineering,
Babol Noshirvani University of Technology,
P.O. Box: 484,
Dr. Shariati Street,
Babol 47148-71167, Iran
e-mail: arman.ghasemi.66@gmail.com

Morteza Dardel

Department of Mechanical Engineering,
Babol Noshirvani University of Technology,
P.O. Box: 484,
Dr. Shariati Street,
Babol 47148-71167, Iran
e-mail: dardel@nit.ac.ir

Mohammad Hassan Ghasemi

Department of Mechanical Engineering,
Babol Noshirvani University of Technology,
P.O. Box: 484,
Dr. Shariati Street,
Babol 47148-71167, Iran
e-mail: mhghasemi@nit.ac.ir

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received February 9, 2014; final manuscript received December 20, 2014; published online February 12, 2015. Assoc. Editor: Spyros A. Karamanos.

J. Pressure Vessel Technol 137(3), 031301 (Jun 01, 2015) (10 pages) Paper No: PVT-14-1021; doi: 10.1115/1.4029522 History: Received February 09, 2014; Revised December 20, 2014; Online February 12, 2015

In the present work, the effects of nanoscale parameter and Coriolis force together are investigated on vibrating eigenvalues of fluid-conveying carbon nanotube (CNT). A nonlocal Timoshenko beam and a plug flow model are implemented to derive fluid–structure interaction (FSI) governing equations of motion. These equations solved by Galerkin to obtain instability pattern, critical fluid velocities (CFVs), frequency and damping at different nanoscale parameter, boundary conditions, and aspect ratios. The results demonstrate existence of multiple types of instabilities and bifurcations, which are deviated from classic FSI buckling and flutters' instabilities, and caused by damping from coalition of nanoscale effect and fluid's Coriolis force, this phenomena are more noticeable in the CNTs with asymmetrical boundary conditions and smaller size.

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References

Figures

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Fig. 1

The typical diagram of fluid-conveying nanotube with its cross section

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Fig. 2

Comparing the fundamental frequency of SWCNT having simply supported ends and β=0.64 with Ref. [29] (—) for e0a/L=0.1 and different L/r

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Fig. 3

Comparing C–F SWCNT's critical fluid velocity's change versus increasing β with Ref. [27] (—), at L/r=50 and two value of e0a/L

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Fig. 4

Imaginary and real part of vibrational eigenvalue of fluid-conveying SWCNT versus uprising fluid velocity, S–S ends support L/r=20, (a) and (b) e0a/L=0; (c) and (d) e0a/L=0.1; (e) and (f) e0a/L=0.2

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Fig. 5

Imaginary and real part of vibrational eigenvalue of fluid-conveying SWCNT versus uprising fluid velocity, S–C ends support L/r=20, (a) and (b) e0a/L=0; (c) and (d) e0a/L=0.1; (e) and (f) e0a/L=0.2

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Fig. 6

Imaginary and real part of vibrational eigenvalue of fluid-conveying SWCNT versus uprising fluid velocity, C–F ends support, (a) and (b) e0a/L=0; (c) and (d) e0a/L=0.1; (e) and (f) e0a/L=0.2

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Fig. 7

Dimensionless CFV of: DWCNT for different values of small-scale parameters, aspect ratios, β=0.6 (a) S–C ends support and (b) C–F ends support

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Fig. 8

Dimensionless frequency at u=0 of DWCNT for different values of small-scale parameters, aspect ratios, β=0.6 (a) S–C ends support and (b) C–F ends support

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Fig. 9

First mode dimensionless damping ratio at different values of small-scale parameters and different aspect ratios of NTBT in the case both SWCNT and DWCNT, β=0.6, for (a) S–C compared with EBT and (b) C–F

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