najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМОnajo-1282Research ArticlePHYSICSФИЗИКАModel of non-axisymmetric flow in nanotubeBlinovaI. V.

49 Kronverkskiy, Saint Petersburg

irin-a@yandex.ruSaint Petersburg National Research University of Information Technologies, Mechanics and OpticsRussian Federation20132108202543320323Copyright © Blinova I.V., 20252025Blinova I.V.Blinova I.V.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/1282

The asymmetric Stokes flow in a circular cylinder due to a rotlet is considered. This is a model for nanotube flow induced by a small rotating particle. The 3D Stokes and continuity equations are reduced to boundary problems for two scalar functions. Analytical solutions in terms of the Fourier transform is obtained.

Stokes flowrotletThe work was supported by FTP ”Scientific and Educational Human Resources for Innovation-Driven Russia” (contract 16.740.11.0030), grant 11-08-00267 of RFBR, FTP ”Researches and Development in the Priority Directions Developments of a Scientific and Technological Complex of Russia 2007-2013” (state contract 07.514.11.4146) and grants of the President of Russia (state contract 14.124.13.2045-MK and grant MK-1493.2013.1).ReferencesLi D. Encyclopedia of Microfluidics and Nanofluidics. Springer, New York (2008).Li D. Encyclopedia of Microfluidics and Nanofluidics. Springer, New York (2008).Rivera J. L., Starr F. W. Rapid transport of water via carbon nanotube. J.Phys. Chem. C, 114, P. 3737– 3742 (2010).Rivera J. L., Starr F. W. Rapid transport of water via carbon nanotube. J.Phys. Chem. C, 114, P. 3737– 3742 (2010).Kang W., Landman U. Universality crossover of the pinch-off shape profiles of collapsing liquid nanobridges. Phys. Rev. Lett., 98, P. 064504/1-4 (2007).Kang W., Landman U. Universality crossover of the pinch-off shape profiles of collapsing liquid nanobridges. Phys. Rev. Lett., 98, P. 064504/1-4 (2007).Chivilikhin S. A., Popov I. Yu., Gusarov V. V., Svitenkov A. I. Model of fluid flow in a nano-channel. Russian J. Math. Phys., 15, P. 410–412 (2007).Chivilikhin S. A., Popov I. Yu., Gusarov V. V., Svitenkov A. I. Model of fluid flow in a nano-channel. Russian J. Math. Phys., 15, P. 410–412 (2007).Maslov V. P. Superfluidity of classical liquid in a nanotube for even and odd numbers of neutrons in a molecule. Theor. Math. Phys., 153, P. 1677–1696 (2007).Maslov V. P. Superfluidity of classical liquid in a nanotube for even and odd numbers of neutrons in a molecule. Theor. Math. Phys., 153, P. 1677–1696 (2007).Belonenko M. B., Chivilikhin S. A., Gusarov V. V., Popov I. Yu., Rodygina O. A. Soliton-induced flow in carbon nanotube. Europhys. Lett. 101, P. 66001/1-3 (2013).Belonenko M. B., Chivilikhin S. A., Gusarov V. V., Popov I. Yu., Rodygina O. A. Soliton-induced flow in carbon nanotube. Europhys. Lett. 101, P. 66001/1-3 (2013).Popov I. Yu. Statistical derivation of modified hydrodynamic equations for nanotube flows. Physica Scripta, 83, P. 045601/1-3 (2011).Popov I. Yu. Statistical derivation of modified hydrodynamic equations for nanotube flows. Physica Scripta, 83, P. 045601/1-3 (2011).Chivilikhin S. A., Gusarov V. V., Popov I. Yu. Flows in nanostructures: hybrid classical-quantum models. Nanosystems: Phys. Chem. Math., 3(1), P. 7–26 (2012).Chivilikhin S. A., Gusarov V. V., Popov I. Yu. Flows in nanostructures: hybrid classical-quantum models. Nanosystems: Phys. Chem. Math., 3(1), P. 7–26 (2012).Pozrikidis C. Computation of periodic Green’s functions of Stokes flow. J.Eng. Math. 38, P. 79–96 (1996).Pozrikidis C. Computation of periodic Green’s functions of Stokes flow. J.Eng. Math. 38, P. 79–96 (1996).Blake J. R., Chwang A. T. Fundamental singularities of viscous flow. Part I: The image systems in the vicinity of a stationary no-slip boundary. J.Eng. Math. 8(1), P. 23–29 (1974).Blake J. R., Chwang A. T. Fundamental singularities of viscous flow. Part I: The image systems in the vicinity of a stationary no-slip boundary. J.Eng. Math. 8(1), P. 23–29 (1974).Popov I. Yu. Operator extension theory and eddies in creeping flow. Phys. Scripta. 47, P. 682–686 (1993).Popov I. Yu. Operator extension theory and eddies in creeping flow. Phys. Scripta. 47, P. 682–686 (1993).Popov I. Yu. Stokeslet and the operator extension theory. Rev. Matem. Univ. Compl. Madrid. 9, P. 235– 258 (1996).Popov I. Yu. Stokeslet and the operator extension theory. Rev. Matem. Univ. Compl. Madrid. 9, P. 235– 258 (1996).Gugel Yu. V., Popov I. Yu., Popova S. L. Hydrotron: creep and slip. Fluid Dyn. Res. 18, P. 199–210 (1996).Gugel Yu. V., Popov I. Yu., Popova S. L. Hydrotron: creep and slip. Fluid Dyn. Res. 18, P. 199–210 (1996).Hackborn W. W. Asymmetric Stokes flow between parallel planes due to a rotlat. J. Fluid Mech. 218, P. 531–546 (1990).Hackborn W. W. Asymmetric Stokes flow between parallel planes due to a rotlat. J. Fluid Mech. 218, P. 531–546 (1990).Ranger K. B. Intl. J. Multiphase Flow., 4, P. 263 (1978).Ranger K. B. Intl. J. Multiphase Flow., 4, P. 263 (1978).

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