Pressure dependence of the instability of multiwalled carbon nanotubes conveying fluids

Archive of Applied Mechanics

Volumn 78, Issue 8, 2008, Pages 637-648

  He, X Q ^a   Wang, C M ^b   Yan, Y ^c   Zhang, L X ^c   Nie, G H ^d  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c KUNMING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^d TONGJI UNIVERSITY   (China)

Author keywords

Critical flow velocities; Elastic beam model; Instability; Multiwalled carbon nanotubes; vdW interaction

Indexed keywords

BIFURCATION (MATHEMATICS); CARBON; CUBIC BORON NITRIDE; FLOW INTERACTIONS; FLUIDICS; FLUIDS; FULLERENES; HOPF BIFURCATION; MULTIWALLED CARBON NANOTUBES (MWCN); NANOCOMPOSITES; NANOPORES; NANOSTRUCTURED MATERIALS; NANOSTRUCTURES; NANOTECHNOLOGY; NANOTUBES; SYSTEM STABILITY; VAN DER WAALS FORCES;

CRITICAL FLOWS; CRITICAL VELOCITIES; ELASTIC BEAM MODELS; GENERAL (CO); MULTIWALLED CARBON NANOTUBES (MW-CNT); PITCHFORK BIFURCATIONS; PRESSURE DEPENDENCE; RADIUS RATIO; SPRINGER (CO); VAN DER WAALS;

CARBON NANOTUBES;

EID: 45849144800     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-007-0184-3     Document Type: Article

References (33)

1. Gadd G.E., Blackford M. and Moricca S. (1997). The world's smallest gas cylinders. Science 277: 933-936
2. Gao Y. and Bando Y. (2002). Carbon nanothermometer containing gallium. Nature 415: 599
3. Hummer G., Rasaiah J.C. and Noworyta J.P. (2001). Water conduction through the hydrophobic channel of a carbon nanotube. Nature 414: 188-190
4. Hanasaki I. and Nakatani A. (2006). Water flow through carbon nanotube junctions as molecular convergent nozzles. Nanotechnology 17: 2794-2804
5. Supple S. and Quirke N. (2005). Molecular dynamics of transient oil flows in nanopores. II. Density profiles and molecular structure for decane in carbon nanotubes. J. Chem. Phys. 122: 104706
6. Supple S. and Quirke N. (2004). Molecular dynamics of transient oil flows in nanopores I: imbibition speeds for single wall carbon nanotubes. J. Chem. Phys. 121: 8571-8579
7. Sokhan V.P., Nicholson D. and Quirke N. (2002). Fluid flow in nanopores: accurate boundary conditions for carbon nanotubes. J. Chem. Phys. 117: 8531-8539
8. Mao Z. and Sinnott S.B. (2000). A computational study of molecular diffusion and dynamic flow through carbon nanotubes. J. Phys. Chem. B 104: 4618-4624
9. Skoulidas A., Ackerman D.M., Johnson K.J. and Sholl D.S. (2002). Rapid transport of gases in carbon nanotubes. Phys. Rev. Lett. 89: 185901-185911
10. Tuzun R.E., Noid D.W., Sumpter B.G. and Merkle R.C. (1996). Dynamics of fluid flow inside carbon. Nanotub. Nanotechnol. 7: 241-246
11. Yakobson B.I., Brabec C.J. and Bernholc J. (1996). Nanomechanics of carbon tubes: instabilities beyond linear response. Phys. Rev. Lett. 76: 2511-2514
12. He X.Q., Kitipornchai S., Wang C.M. and Liew K.M. (2005). Modeling of van der Waals force for infinitesimal deformation of multi-walled carbon nanotubes treated as cylindrical shells. Int. J. Solids Struct. 42: 6032-6047
13. Liew K.M., Wong C.H., He X.Q., Tan M.J. and Meguid S.A. (2004). Nanomechanics of single and multi-walled carbon nanotubes. Phys. Rev. B 69: 115429
14. Mahan G.D. (2002). Oscillations of a thin hollow cylinder: carbon nanotube. Phys. Rev. B 65: 235402
15. Rao A.M., Chen J., Richter E., Schlecht U., Eklund P.C., Haddon R.C., Venkateswaran U.D., Kwon Y.K. and Tomanek D. (2001). Effect of van der Waals interaction on the Raman modes in single walled carbon nanotubes. Phys. Rev. Lett. 86: 3895
16. Garg A., Han J. and Sinnott S. (1998). Interactions of carbon-nanotubule proximal probe tips with diamond and graphene. Phys. Rev. Lett. 81: 2260-2263
17. Treacy M.M.J., Ebbesen T.W. and Gibson J.M. (1996). Exceptionally high Yong's modulus observed for individual carbon nano-tubes. Nature 381: 678
18. Poncharal P., Wang Z.L., Ugarte D. and Heer W.A. (1999). Electrostatic deflections and electromechanical resonances of carbon nanotubes. Science 283: 1513
19. Gogotsi Y. (2001). In situ multiphase fluid experiments in hydrothermal CNTs. Appl. Phys. Lett. 79: 1021-1023
20. Longhurst M.J. and Quirke N. (2006). Shell model approximation for internally and externally adsorbed fluids. J. Chem. Phys. 125: 184705
21. Yoon J., Ru C.Q. and Mioduchowski A. (2005). Vibration and instability of CNTs conveying fluid. Compos. Sci. Technol 65: 1326-1336
22. Yoon J., Ru C.Q. and Mioduchowski A. (2006). Flow-induced flutter instability of cantilever CNTs. Int. J. Solids Struct. 43: 3337-3349
23. Endo M., Muramatsu H., Hayashi T., Kim Y.A., Terrones M. and Dresselhaus M.S. (2005). Nanotechnology: "buckypaper" from coaxial nanotubes. Nature 433: 476
24. Natsuki T., Ni Q.Q. and Endo M. (2007). Wave propagation in single- and double-walled carbon nanotubes filled with fluids. J. Appl. Phys. 101: 034319
25. Travis K.P. and Evans D.J. (1996). Molecular spin in a fluid undergoing Poiseuille flow. Phys. Rev. E 55: 1566
26. Koplik J., Banavar J.R. and Willemsen J.F. (1989). Molecular dynamics of fluid at solid surfaces. Phys. Fluids. A 1: 781
27. Pozhar L.A. (2000). Structure and dynamics of nanofluids: theory and simulations to calculate viscosity. Phys. Rev. E 61: 1432
28. Travis K.P. and Gubbins K.E. (2000). Poiseuille flow of Lennard-Jones fluids in narrow slip pores. J. Chem. Phys. 112: 1984
29. Travis K.P., Todd B.D. and Evans D.J. (1997). Departure from Navier-Stokes hydrodynamics in confined liquids. Phys. Rev. E 55: 4288
30. He X.Q., Kitipornchai S. and Liew K.M. (2005). Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction. J. Mech. Phys. Solid 53: 303-326
31. Saito R., Matsuo R., Kimura T., Dresselhaus G. and Dresselhaus M.S. (2001). Anomalous potential barrier of double-wall carbon nanotube. Chem. Phys. Lett. 348: 187
32. Zhang L.X. and Yang K. (2004). The Theory and Its Applications of Fluid-Structure Interaction (in Chinese). Science Press, Beijing
33. Paidoussis M.P. (1998). Fluid-Structure Interactions, Vol. 1. Academic, San Diego