najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМОnajo-1191Research ArticlePHYSICSФИЗИКАFlows in nanostructures: hybrid classical-quantum modelsChivilikhinS. A.

S.A. Chivilikhin – associate professor

chivserg@mail.ruGusarovV. V.

V.V. Gusarov – Head of Department of Physical Chemistry, Corresponding member of RAS

victor.v.gusarov@gmail.comPopovI. Yu.

I.Yu. Popov – Professor, Doctor of Science, Head of Department of Higher Mathematics

popov1955@gmail.comNational Research University of Information Technologies, Mechanics and OpticsRussian FederationSaint-Petersburg State Institute of Technology; Ioffe Physical Technical InstituteRussian Federation20122008202531726Copyright © Chivilikhin S.A., Gusarov V.V., Popov I.Y., 20252025Chivilikhin S.A., Gusarov V.V., Popov I.Y.Chivilikhin S.A., Gusarov V.V., Popov I.Y.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/1191

Flow through nanotube has many interesting peculiarities. To describe these unusual properties we suggest a model of   the flow based on crystallite liquid theory. Slip boundary condition is used instead of conventional no-slip condition.   The condition is derived by consideration of interaction of flow particles with the nanotube wall potential in the   framework of quantum mechanics. For nanotube with elastic walls another mechanism of flow plays an important   role. Namely, a model of flow caused by elastic soliton wave in its wall is suggested. As for general consideration,   a modification of the Navier-Stokes equations for the nanotube flow is derived from many-particle Hamiltonian in   the framework of quantum statistical physics. Particularly, for a model confinement the effective viscosity of the   nanotube flow is got. The obtained dependence of the viscosity on the nanotube diameter is in good correlation with   the corresponding experimental results. 

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The authors declare that there are no conflicts of interest present.