Flow-induced instability and bifurcation of carbon nanotubes

X. Q. He; Y. Yan; L. X. Zhang

Flow-induced instability and bifurcation of carbon nanotubes

X. Q. He
, Y. Yan
, L. X. Zhang

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

1 Citation (Scopus)

Abstract

Carbon nanotubes (CNTs) show great potential for use in nanofluidic devices. Based on an elastic beam model, this paper studies the flow-induced structural instability and bifurcations of CNTs conveying fluids. Explicit formulas have been obtained for the solution of dynamic description of CNTs in which fluids flow. Based on the obtained solutions, the critical flow velocities for Pitchfork bifurcation and Hopf bifurcation have been determined by using the elastic beam model. The results indicate that the critical flow velocities for the structural instability are inversely proportional to the aspect ratio (L/R_out) of the CNT. The effect of the size of CNTs and the surrounding elastic matrix on the instability and divergence of CNT-fluid system has been discussed in detail.

Original language	English
Title of host publication	Proceedings of the 7th IASME / WSEAS International Conference on Fluid Mechanics and Aerodynamics, FMA '09
Pages	21-27
Publication status	Published - 2009
Event	7th IASME / WSEAS International Conference on Fluid Mechanics and Aerodynamics, FMA '09 - Moscow, Russian Federation Duration: 20 Aug 2009 → 22 Aug 2009

Conference

Conference	7th IASME / WSEAS International Conference on Fluid Mechanics and Aerodynamics, FMA '09
Place	Russian Federation
City	Moscow
Period	20/08/09 → 22/08/09

Research Keywords

Carbon nanotubes
Critical flow velocities
Elastic beam model
Hopf bifurcation
Instability
Pitchfork bifurcation

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@inproceedings{18cae6c66bc64f9dbd283c3b7b7a09a6,

title = "Flow-induced instability and bifurcation of carbon nanotubes",

abstract = "Carbon nanotubes (CNTs) show great potential for use in nanofluidic devices. Based on an elastic beam model, this paper studies the flow-induced structural instability and bifurcations of CNTs conveying fluids. Explicit formulas have been obtained for the solution of dynamic description of CNTs in which fluids flow. Based on the obtained solutions, the critical flow velocities for Pitchfork bifurcation and Hopf bifurcation have been determined by using the elastic beam model. The results indicate that the critical flow velocities for the structural instability are inversely proportional to the aspect ratio (L/Rout) of the CNT. The effect of the size of CNTs and the surrounding elastic matrix on the instability and divergence of CNT-fluid system has been discussed in detail.",

keywords = "Carbon nanotubes, Critical flow velocities, Elastic beam model, Hopf bifurcation, Instability, Pitchfork bifurcation",

author = "He, \{X. Q.\} and Y. Yan and Zhang, \{L. X.\}",

year = "2009",

language = "English",

isbn = "9789604741069",

pages = "21--27",

booktitle = "Proceedings of the 7th IASME / WSEAS International Conference on Fluid Mechanics and Aerodynamics, FMA '09",

note = "7th IASME / WSEAS International Conference on Fluid Mechanics and Aerodynamics, FMA '09 ; Conference date: 20-08-2009 Through 22-08-2009",

}

Flow-induced instability and bifurcation of carbon nanotubes. / He, X. Q.; Yan, Y.; Zhang, L. X.
Proceedings of the 7th IASME / WSEAS International Conference on Fluid Mechanics and Aerodynamics, FMA '09. 2009. p. 21-27.

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - Flow-induced instability and bifurcation of carbon nanotubes

AU - He, X. Q.

AU - Yan, Y.

AU - Zhang, L. X.

PY - 2009

Y1 - 2009

N2 - Carbon nanotubes (CNTs) show great potential for use in nanofluidic devices. Based on an elastic beam model, this paper studies the flow-induced structural instability and bifurcations of CNTs conveying fluids. Explicit formulas have been obtained for the solution of dynamic description of CNTs in which fluids flow. Based on the obtained solutions, the critical flow velocities for Pitchfork bifurcation and Hopf bifurcation have been determined by using the elastic beam model. The results indicate that the critical flow velocities for the structural instability are inversely proportional to the aspect ratio (L/Rout) of the CNT. The effect of the size of CNTs and the surrounding elastic matrix on the instability and divergence of CNT-fluid system has been discussed in detail.

AB - Carbon nanotubes (CNTs) show great potential for use in nanofluidic devices. Based on an elastic beam model, this paper studies the flow-induced structural instability and bifurcations of CNTs conveying fluids. Explicit formulas have been obtained for the solution of dynamic description of CNTs in which fluids flow. Based on the obtained solutions, the critical flow velocities for Pitchfork bifurcation and Hopf bifurcation have been determined by using the elastic beam model. The results indicate that the critical flow velocities for the structural instability are inversely proportional to the aspect ratio (L/Rout) of the CNT. The effect of the size of CNTs and the surrounding elastic matrix on the instability and divergence of CNT-fluid system has been discussed in detail.

KW - Carbon nanotubes

KW - Critical flow velocities

KW - Elastic beam model

KW - Hopf bifurcation

KW - Instability

KW - Pitchfork bifurcation

UR - https://www.scopus.com/pages/publications/74549191405

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-74549191405&origin=recordpage

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 9789604741069

SP - 21

EP - 27

BT - Proceedings of the 7th IASME / WSEAS International Conference on Fluid Mechanics and Aerodynamics, FMA '09

T2 - 7th IASME / WSEAS International Conference on Fluid Mechanics and Aerodynamics, FMA '09

Y2 - 20 August 2009 through 22 August 2009

ER -

Flow-induced instability and bifurcation of carbon nanotubes

Abstract

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Research Keywords

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