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Matematicheskoe modelirovanie, 2012, Volume 24, Number 4, Pages 3–21 (Mi mm3255)  

This article is cited in 1 scientific paper (total in 1 paper)

Modeling of processes at Couette simple fluid flow in flat nano-scopic canal

A. K. Abramyan, L. V. Mirantsev, A. Yu. Kuchmin

Institute of Problems in Mechanical Engineering of Russian Academy of Science, Saint-Petersburg
Full-text PDF (492 kB) Citations (1)
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Abstract: Methods of molecular dynamics and signal analysis have been used for detailed investigation of processes occurring in nano-scopic canals through which the Couette flow of a simple fluid passes. The flows in the flat canal with both crystalline and amorphous walls have been studied. Interactions between the fluid atoms as well as between the fluid atoms and the wall atoms have been simulated using the Lennard–Jones potential. Velocity profiles of the fluid flow through the canal with crystalline walls and the canal with amorphous walls have been found; besides, the frictional force time dependences at various velocities of the moving walls have been obtained. Fourier and wavelet analysis of those dependences have been performed to reveal the friction force components corresponding to various physical processes taking place in the fluid. It has been shown that the time dependence revealed in the Couette flow passing through the canal with crystalline walls accounts for the existence of a periodical structure induced by the walls and for the wave processes occurring across the canal. Also, periodical processes of originating a zone of the initial periodical structure destruction and of its revivification have been revealed.
Keywords: nano-channel, Couette flow, molecular dynamics simulation.
Received: 04.05.2011
Document Type: Article
UDC: 539.2
Language: Russian
Citation: A. K. Abramyan, L. V. Mirantsev, A. Yu. Kuchmin, “Modeling of processes at Couette simple fluid flow in flat nano-scopic canal”, Matem. Mod., 24:4 (2012), 3–21
Citation in format AMSBIB
\Bibitem{AbrMirKuc12}
\by A.~K.~Abramyan, L.~V.~Mirantsev, A.~Yu.~Kuchmin
\paper Modeling of processes at Couette simple fluid flow in flat nano-scopic canal
\jour Matem. Mod.
\yr 2012
\vol 24
\issue 4
\pages 3--21
\mathnet{http://mi.mathnet.ru/mm3255}
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  • https://www.mathnet.ru/eng/mm/v24/i4/p3
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:483
    Full-text PDF :140
    References:47
    First page:21
     
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