A Continuum Model of the Van der Waals Interface for Determining the Critical Diameter of Nanopumps and its Application to Analysis of the Vibration and Stability of Nanopump Systems

International Journal of Nonlinear Sciences and Numerical Simulation

Volumn 11, Issue 2, 2010, Pages 121-133

  Kuang, Y D ^a,b   Shi, S Q ^b   Chan, P K L ^b   Chen, C Y ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

Carbon nanotubes; Critical diameter; Nanoscale effects; Vibration and stability

Indexed keywords

EID: 77955516512     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2010.11.2.121     Document Type: Article

References (46)

1. Berendsen, H. J. C., Grigera, J. R., Straatsma, T. P., 1987. The missing term in effective pair potentials. J. Phys. Chem. 91, 6269-6271.
2. Chang, T. C., 2008. Dominoes in carbon nanotubes. Phys. Rev. Lett. 101, 175501.
3. Chen, X., Cao, G., Han, A., Punyamurtula, V. K., Liu, L., Culligan. P. J., Kim, T., Qiao, Y., 2008. Nanoscale fluid transports: size and rate effects. Nano Lett 8(9), 2988-2992.
4. Dong, K., Liu, B. Y., Wang, X., 2008. Wave propagation in fluid-filled multiwalled carbon nanotubes embedded in elastic matrix. Comput. Mater. Sci. 42, 139-148.
5. de Asis, E. D., Li. Y., Ohta, Riichiro., Austin, Alex., Leung, Joseph., Nguyen, C. V., 2008. Length dependence behavior of a carbon nanotube interacting at liquid-air interface. Appl. Phys. Lett. 93, 023129.
6. Garg, A., Han, J., Sinnott, S., 1998. Interactions of carbon-nanotubule proximal probe tips with diamond and grapheme. Phys. Rev. Lett. 81, 2260-2263.
7. Gong, X., Li, J., Lu, H., Wang, R., Li, J., Hu, J., Fang, H., 2007. A charger-driven molecular water pump. Nat Nanotechnol 2, 709-712.
8. Hu, Y., Liew, K. M., Wang, Q., He, X. Q., Yakobson, B. I., 2008. Nonlocal shell model for elastic wave propagation in single- and double-walled carbon nanotubes. J. Mech. Phys. Solids 56, 3475-3485.
9. He, X. Q., Kitipornchai, S., Liew, K. M., 2005. Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction. J. Mech. Phys. Solids 53, 303-326.
10. Holt, J. K., Park, H. G., Wang, Y., Stadermann, M., Artyukhin, A. B., Grigoropoulos, C. P., Bakajin, O., 2006. Fast mass transport through sub-2nanometer carbon nanotubes. Science 312, 1034.
11. Hanasaki, I., Nakamura, A., Yonebayashi, T., Kawano, S., 2008. Structure and stability of water chain in a carbon nanotube. J. Phys.: Condens Matter 20, 015213. (Pubitemid 350265580)
12. Hanasaki, I., Nakatani, A., 2006. Flow structure of water in carbon nanotubes: poiseuille type or plug-like? J. Chem. Phys. 14, 144708.
13. Hu, Z. L., Guo, X, M., Ru, C. Q., 2007. The effects of an inserted linear carbon chain on the vibration of a carbon nanotube. Nanotechnology 18, 485712.
14. Iijima, S., 1991. Helical microtubules of graphitic carbon. Nature 354, 56-58.
15. Insepov, Z., Wolf, D., Ahmed, H., 2006. Nanopumping using carbon nanotubes. Nano Lett 6(9), 1893-1895.
16. Jiang, L. Y., Huang, Y., Jiang, H., Ravichandran, G., Gao, H., Hwang, K. C., Liu, B., 2006. A cohesive law for carbon nanotube/polymer interfaces based on the van der Waals force. J. Mech. Phys. Solids 54, 2436-2452.
17. Joseph, S., Aluru, N. R., 2008. Why are carbon nanotube fast transporters of water? Nano Lett. 8, 452-458.
18. Koga, K., Gao, G.T., Tanaka, H., Zeng, X.C., 2001. Formation of ordered ice nanotubes inside carbon nanotubes. Nature 412, 802.
19. Liu, T. T., Wang, X., 2007. Dynamic elastic modulus of single-walled carbon nanotubes in different thermal environments. Phys. Lett. A 365, 144-148.
20. Longhurst, M. J., Quirke, N., 2007. Temperature driven pumping of fluid through singlewalled carbon nanotubes. Nano Lett 7(11), 3324-3328. (Pubitemid 350216024)
21. Lee, H. L., Chang, W. J., 2009. Vibration analysis of fluid-conveying double-walled carbon nanotubes based on nonlocal elastic theory. J. Phys.: Condens Matter 21, 115302.
22. Majumder, M., Chopra, N., Andrews, R., Hinds, B. J., 2005. Nanoscale hydrodynamically enhanced flow in carbon nanotubes. Nature 438, 44. (Pubitemid 41599814)
23. Mattia, D., Gogotsi, Y., 2008. Rewiew: static and dynamic behavior of liquids inside carbon nanotubes. Microfluid Nanofluid 5, 289-305.
24. Mashl, R. J., Joseph, S., Aluru, N. R., Jakobsson, E., 2003. Anomalously immobilized water: A new water phase induced by confinement in nanotubes. Nano Lett 3, 589-592. (Pubitemid 37140620)
25. Mao, Z., Sinnott, S. B., 2000. A computational study of molecular diffusion and dynamics flow through CNTs. J. Phys. Chem. B 104, 4618-4624.
26. Nanok, T., Artrith, N., Pantu, P., Bopp, P. A., Limtrakul, J., 2009. Structure and dynamics of water confined in single-wall nanotubes. J. phys. chem. A 113, 2103-2108.
27. Natsuki, T., Ni, Q., Endo, M., 2007. Wave propagation in single- and double-carbon nanotubes filled with fluid. J. Appl. Phys. 10, 034319.
28. Paidoussis, M. P., 1998. Fluid-structure interaction. Academic, San Diego.
29. Poncharal, P., Wang, Z. L., Ugarte, D., Heer, W. A., 1999. Electrostatic deflections and electromechanical resonances of carbon nanotubes. Science 283, 1513-1516.
30. Reddy, C. D., Liu, C., Rajendran, S., Liew, K. M., 2007. Free vibration analysis of fluid-conveying single-walled carbon nanotubes. Appl. Phys. Lett. 90, 133122.
31. Rao, A. M., Chen, J., Richter, E., Schlecht, U., Eklund, P. C., Haddon, R. C., Venkateswaran, U. D., Kwon, Y. K., Tomanek, D., 2001. Effect of van der Waals Interactions on the Raman Modes in Single Walled Carbon Nanotubes. Phys. Rev. Lett. 86, 3895-3898.
32. Rappé, A. K., Casewit, C. J., Colwell, K. S., Goddard, W. A., Skiff, W. M., 1992. UFF, a full periodic table force field for molecular mechanics and molecular dynamics simulations. J. Am. Chem. Soc. 114, 10024.
33. Ru, C. Q., 2000. Column buckling of multiwalled carbon nanotubes with interlayer radial displacements. Phys. Rev. B 62(24), 962-967.
34. Sholl, D. S., Karl Johnson, J., 2006. Making high-flux membrances with carbon nanotubes. Science 312, 1003.
35. Supple, S., Quirke, N., 2003. Rapid imbibition of fluids in CNTs. Phys. Rev. Lett. 90, 214501-1.
36. Sudak, L. J., 2003. Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics. J. Appl. Phys. 94(11), 7281-7287.
37. Treacy, M. J., Ebbesen, T. W., Gibson, J. M., 1996. Exceptionally high young's modulus observed for individual carbon nanotubes. Nature 381, 678-680.
38. Thomas, J. A., McGaughey, A. J. H. 2009. Water flow in carbon nanotubes: transition to subcontinuum transport. Phys. Rev. Lett. 102, 184502.
39. Wang, X. Y., Wang, X., Sheng, G. G., 2007. The coupling vibration of fluid-filled carbon nanotubes. J. Phys. D: Appl. Phys. 40, 2563-2572. (Pubitemid 46778388)
40. Whitby, M., Quirke, N., 2007. Fluid flow in carbon nanotubes and nanopipes. Nat Nanotechnol 2, 87-94. (Pubitemid 46226367)
41. Wang, J., Zhu, Y., Zhou, J., Lu, X., 2004. Diameter and helicity effects on static properties of water molecules confined in carbon nanotubes. Phys. Chem. Chem. Phys. 6(4), 829-835.
42. Yoon, J., Ru, C. Q., Mioduchowski, A., 2005. Vibration and instability of carbon nanotubes conveying fluid. Compos. Sci. Technol. 65, 1326-1336.
43. Yoon, J., Ru, C. Q., Mioduchowski, A., 2006. Flow-induced flutter instability of cantilever carbon nanotubes. Int. J. solid Struct 43, 3337-3349.
44. Zheng, J., Lennon, E. M., Tsao, H. K., Sheng, Y. J., Jang, S., 2005. Transport of a liquid water and methanol mixture through carbon nanotubes under a chemical potential gradient. J. Chem. Phys. 122, 214702.
45. Zhang, N. H., 2008. Dynamic analysis of an axially moving viscoelastic string by the Galerkin method using translating string eigenfunctions. Chaos Soliton Fract 35, 291-302.
46. Zhang, C., Shen, H., 2006. Temperaturedependent elastic properties of singlewalled carbon nanotubes: Prediction from molecular dynamics simulation. Appl. Phys. Lett. 89, 081904.