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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

Liu, Y., Consta, S., and Goddard, W. A., 2010, “Nanoimmiscibility: Selective Absorption of Liquid Methanol-Water Mixtures in Carbon Nanotubes,” J. Nanosci. Nanotechnol., 10(6), pp. 3834–3843. [CrossRef] [PubMed]
Pastorin, G., Wu, W., Wieckowski, S., Bri, J. P., Kostarelos, K., Prato, M., and Bianco, A., 2006, “Double Functionalization of Carbon Nanotubes for Multimodal Drug Delivery,” Chem. Commun., 11(11), pp. 1182–1184. [CrossRef]
Lopez, C. F., Nielsen, S. O., Moore, P. B., and Klein, M. L., 2004, “Understanding Nature's Design for a Nanosyringe,” Proc. Natl. Acad. Sci., 101(13), pp. 4431–4434. [CrossRef]
Hinds, N. J., Chopra, N., Rantell, T., Andrews, R., Gavalas, V., and Bachas, L. G., 2004, “Aligned Multiwalled Carbon Nanotube Membranes,” Science303(5654), pp. 62–65. [CrossRef] [PubMed]
Kim, B. M., Sinha, S., and Bau, H. H., 2004, “Optical Microscope Study of Liquid Transport in Carbonnanotubes,” Nano Lett., 4(11), pp. 2203–2208. [CrossRef]
Rossi, M. P., Haihui, Y., Gogotsi, Y., Babu, S., Ndungu, P., and Bradley, J.-C., 2004, “Environmental Scanning Electron Microscopy Study of Water in Carbon Nanopipes,” Nano Lett., 4(5), pp. 989–993. [CrossRef]
Lefebvre, J., Antonov, R. D., Radosavljevic, M., Lynch, J. F., Liaguno, M., and Johnson, A. T., 2000, “Single-Wall Carbon Nanotube Based Devices,” Carbon, 38(11–12), pp. 1745–1749. [CrossRef]
Chen, C., Liu, L., Lu, Y., Kong, E. S.-W., Zhang, Y., Sheng, X., and Ding, H., 2007, “A Method for Creating Reliable and Low-Resistance Contacts Between Carbon Nanotubes and Microelectrodes,” Carbon, 45(2), pp. 436–442. [CrossRef]
Mantzalis, D., Asproulis, N., and Drikakis, D., 2011, “Enhanced Carbon Dioxide Adsorption Through Carbon Nanoscrolls,” Phys. Rev. E, 84, p. 06634. [CrossRef]
Mantzalis, D., Asproulis, N., and Drikakis, D., 2011, “Filtering Carbon Dioxide Through Carbon Nanotubes,” Chem. Phys. Lett., 506(1–3), pp. 81–85. [CrossRef]
Asproulis, N., and Drikakis, D., 2013, “An Artificial Neural Network Based Multiscale Method for Hybrid Atomistic-Continuum Simulations,” Microfluidics Nanofluidics, 15(4), pp. 559–574. [CrossRef]
Asproulis, N., Kalweit, M., and Drikakis, D., 2012, “A Hybrid Molecular Continuum Method Using Point Wise Coupling,” Adv. Eng. Software, 46(1), pp. 85–89. [CrossRef]
Ghasemi, A., Dardel, M., Ghasemi, M. H., and Barzegari, M. M., 2013, “Analytical Analysis of Buckling and Post-Buckling of Fluid Conveying Multi-Walled Carbon Nanotubes,” Appl. Math. Modell., 37(7), pp. 4972–4992. [CrossRef]
Duan, W. H., Wang, C. M., and Zhang, Y. Y., 2007, “Calibration of Nonlocal Scaling Effect Parameter for Free Vibration of Carbon Nanotubes by Molecular Dynamics,” J. Appl. Phys., 101(2), p. 024305. [CrossRef]
Eringen, A. C., 2002, Nonlocal Continuum Field Theories, Springer-Verlag, New York. [CrossRef]
Chowdhury, R., and Adhikari, S., 2010, “The Calibration of Carbon Nanotube Based Bionanosensors,” J. Appl. Phys.107, p. 124322. [CrossRef]
Yan, Y., Wang, W. Q., and Zhang, L. X., 2009, “Dynamical Behaviors of Fluid-Conveyed Multi-Walled Carbon Nanotubes,” Appl. Math. Modell, 33(3), pp. 1430–1440. [CrossRef]
Chang, W.-J., and Lee, H.-L., 2009, “Free Vibration of a Single-Walled Carbon Nanotube Containing a Fluid Flow Using the Timoshenko Beam Model,” Phys. Lett. A, 373(10), pp. 982–985. [CrossRef]
Wang, L., and Ni, Q., 2009, “A Reappraisal of the Computational Modelling of Carbon Nanotubes Conveying Viscous Fluid,” Mech. Res. Commun., 36(7), pp. 833–837. [CrossRef]
Chang, T.-P., and Liu, M.-F., 2011, “Small Scale Effect on Flow-Induced Instability of Double-Walled Carbon Nanotubes,” Eur. J. Mech. A-Solid, 30(6), pp. 992–998. [CrossRef]
Yan, Y., Wang, W. Q., and Zhang, L. X., 2010, “Dynamical Behaviors of Fluid-Filled Multi-Walled Carbon Nanotubes,” Int. J. Mod. Phys. B, 24(24), pp. 4727–4739. [CrossRef]
Zhen, Y.-X., Fang, B., and Tang, Y., 2011, “Thermal–Mechanical Vibration and Instability Analysis of Fluid-Conveying Double Walled Carbon Nanotubes Embedded in Visco-Elastic Medium,” Physica E, 44(2), pp. 379–385. [CrossRef]
Rafiei, M., Mohebpour, S. R., and Daneshm, F., 2012, “Small-Scale Effect on the Vibration of Non-Uniform Carbon Nanotubes Conveying Fluid and Embedded in Viscoelastic Medium,” Physica E, 44(7–8), pp. 1372–1379. [CrossRef]
Maraghi, Z. K., Arani, A. G., Kolahchi, R., Amir, S., and Bagheri, M. R., 2012, “Nonlocal Vibration and Instability of Embedded DWBNNT Conveying Viscose Fluid,” Compos. Part-B: Eng., 45(1), pp. 423–432. [CrossRef]
Ibrahim, R. A., 2010, “Overview of Mechanics of Pipes Conveying Fluids—Part I: Fundamental Study,” ASME J. Pressure Vessel Technol., 132(3), p. 034001. [CrossRef]
Ibrahim, R. A., 2011, “Mechanics of Pipes Conveying Fluids—Part II: Applications and Fluidelastic Problems,” ASME J. Pressure Vessel Technol., 133(2), p. 024001. [CrossRef]
Paidoussis, M. P., 1998, Fluid Structure Interactions Slender Structure and Axial Flow: Volume I, Academic, San Diego, CA.
Yoon, J., Ru, C. Q., and Mioduchowski, A., 2006, “Flow-Induced Flutter Instability of Cantilever Carbon Nanotubes,” Int. J. Solids Struct., 43(11–12), pp. 3337–3349. [CrossRef]
Wang, L., 2009, “Vibration and Instability Analysis of Tubular Nano- Micro-Beams Conveying Fluid Using Nonlocal Elastic Theory,” Physica E, 41(10), pp. 1835–1840. [CrossRef]
Reddy, J. N., 2002, Energy Principles, Variational Methods in Applied Mechanics, 2nd ed., Wiley, New York.
Squires, T. M., and Quake, S. R., 2005, “Microfluidics: Fluid Physics at the Nanoliter Scale,” Rev. Mod. Phys., 77, pp. 977–1026. [CrossRef]
Chebair, A. E., and Misra, A. K., 1991, “On the Dynamics and Stability of Cylindrical Shells Conveying Inviscid or Viscous Fluid in Internal or Annular Flow,” ASME J. Pressure Vessel Technol., 113(3), pp. 409–417. [CrossRef]
Chang, C. O., and Chen, K. C., 1994, “Dynamics and Stability of Pipes Conveying Fluid,” ASME J. Pressure Vessel Technol., 116(1), pp. 57–66. [CrossRef]
Borbón, F. D., and Ambrosini, D., 2012, “On the Influence of Van der Waals Coefficient on the Transverse Vibration of Double Walled Carbon Nanotubes,” Comput. Mater. Sci., 65, pp. 504–508. [CrossRef]
Cowper, G. R., 1996, “The Shear Coefficient in Timoshenko's Beam Theory,” ASME J. Appl. Mech., 33(2), pp. 335–340. [CrossRef]
Rao, S. S., 2007, Vibration of Continuous Systems, Wiley, Hoboken, NJ. [CrossRef]
Yan, Y., He, X. Q., Zhang, L. X., and Wang, C. M., 2009, “Dynamic Behavior of Triple-Walled Carbon Nanotubes Conveying Fluid,” J. Sound Vib., 319(3–5), pp. 1003–1018. [CrossRef]

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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