Crystallite model for flow in nanotube caused by wall soliton
Abstract
Fluid flow in a nanotube, caused by a moving soliton-like perturbation of its wall, is considered. We use a crystallite model for nanotube flow. A picture of the flow is described. The formula for crystallite velocity is derived, allowing one to find fluid flux through a nanotube.
Supporting agencies: This work was partially financially supported by the Government of the Russian Federation (grant 074-U01), by the Ministry of Science and Education of the Russian Federation (GOSZADANIE 2014/190, Project 14.Z50.31.0031), by grants of the President of Russia (state contracts 14.124.13.2045-MK and 14.124.13.1493-MK).
About the Authors
O. A. Rodygina
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, St. Petersburg, 197101
S. A. Chivilikhin
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, St. Petersburg, 197101
I. Yu. Popov
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, St. Petersburg, 197101
V. V. Gusarov
Ioffe Physical-Technical Institute RAS
Russian Federation
Russian Federation
Polytehnicheskaya, 26, St. Petersburg
References
1. Encyclopedia of microfluidics and nanofluidics / edited by Dongqing Li. New York : Springer (2008).
2. Li T.-D., Gao J., Szoszkeiwicz R., Landnan U., RiedoE. Structured and viscous water in subnanometer gaps. Phys. Rev. B., 75, P. 115415-1 – 115415-6 (2007).
3. Mashl R. J., Joseph S., Aluru N. R., Jakobsson E. Anomalously Immobilized Water: A New Water Phase Induced by Confinement in Nanotubes. Nano Letters, 3(5), P. 589–592 (2003).
4. Kolesnikova A.I., C.-K. Loonga C.K., de Souzaa N.R., Burnhamb C.J. Moravskyc A.P. Anomalously soft dynamics of water in carbon nanotubes. Physica B, 385–386, P. 272–274 (2006).
5. A.I. Kolesnikov, J.-M. Zanotti, Ch.-K. Loong, and P. Thiyagarajan Anomalously Soft Dynamics ofWater in a Nanotube: A Revelation of Nanoscale Confinement. Phys. Rev. Lett., 93(3), P. 035503 (2004).
6. J.K. Holt, H. Gyu Park, Y.Wang, M.Stadermann,A.B. Artyukhin, C.P.Grigoropoulos, A.Noy, O.Bakajin. Fast Mass Transport Through Sub–2-Nanometer Carbon Nanotubes Science 312, 1034, P. 1034–1037 (2006).
7. V.P. Maslov. Superfluidity of classical liquid in a nanotube for even and odd numbers of neutrons in a molecule. Theoretical and Mathematical Physics, 153(3), P. 1677–1796 (2007).
8. Hanasaki I., Nakatani A. Fluidized piston model for molecular dynamics simulations of hydrodynamic flow. Modelling Simul. Mater. Sci. Eng., 14, P. 9–20 (2006).
9. Belonenko M.B., Chivilikhin S.A., Gusarov V.V., Popov I.Yu. and Rodygina O.A. Soliton-induced flow in carbon nanotubes. Europhysics Letters, 101(6), P. 66001-p1-66001-p3 (2013).
10. M. Chen, J. Zang, D. Xiao, et al. Nanopumping Molecules via a Carbon Nanotube. Nano Research, 2(12), P. 938–944 (2009).
11. Z.Insepov, D.Wolf, A.Hassanein. Nanopumping using carbon nanotubes. Nano Lett., 6(9), P. 1893–1895 (2006).
12. M.Chen, J.Zang, D.Xiao, et al. Mechanical wave propagation in carbon nanotubes driven by an oscillating tip actuator. J. Appl. Phys., 105(2), P. 026102 (2009).
13. Chivilikhin S.A., Gusarov V.V., Popov I.Yu. Flows in nanostructures: hybrid classical-quantum models. Nanosystems: Physics, Chemistry, Mathematics, 3(1), P. 7–26 (2012).
14. Chivilikhin S.A., Gusarov V.V., Popov I.Yu., Svitenkov A. I. Model of fluid flow in a nano-channel. Russian J. Math. Phys., 15(3), P. 410–412 (2008).
15. Popov I.Yu. Statistical derivation of modified hydrodynamic equations for nanotube flows. Physica Scripta, 83, P. 045601/1-3 (2011).
16. V.V. Gusarov, I.Yu. Popov. Flows in two-dimentional non-autonomous phases in polycrystalline systems. Nuovo Cim., 18D(7), P. 799–805 (1996).
Review
For citations:
Rodygina O.A., Chivilikhin S.A., Popov I.Yu., Gusarov V.V. Crystallite model for flow in nanotube caused by wall soliton. Nanosystems: Physics, Chemistry, Mathematics. 2014;5(3):400-404.
Views:
6
Email this article 