Mathematical model of fluid flow in nanochannels

被引:0
|
作者
Indeitsev D.A. [1 ]
Abramyan A.K. [1 ]
Bessonov N.M. [1 ]
Mirantsev L.V. [1 ]
机构
[1] Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg
关键词
Couette and Poiseuille flows; Nanochannel; Two-phase medium;
D O I
10.1615/NanomechanicsSciTechnolIntJ.v1.i2.30
中图分类号
学科分类号
摘要
New equations that describe the behavior of fluids in nanochannels and take into account the molecular structure of the fluid and results of real and numerical experiments are presented. The Couette and Poiseuille flows are considered. The results obtained show the possibility of describing structural transformations in thin layers by the continuum mechanics methods. New degrees of freedom of the material are introduced via the second continuum that makes up for the role of the forming new phase of state. In the models considered the properties of the new phase are determined by the effect of rigid boundaries with a different structure. © 2010 by Begell House, Inc.
引用
收藏
页码:151 / 168
页数:17
相关论文
共 50 条
  • [21] Mathematical Model of Fluid Flow Between Rotating Nonplane Disks
    Medvedev A.E.
    Prikhod’ko Y.M.
    Fomin V.M.
    Fomichev V.P.
    Chekhov V.P.
    Chernyavskii A.M.
    Fomichev A.V.
    Ruzmatov T.M.
    Karas’kov A.M.
    Medvedev, A.E. (Medvedev@itam.nsc.ru), 2017, Springer Science and Business Media, LLC (90) : 1479 - 1487
  • [22] A mathematical model for tumor cords incorporating the flow of interstitial fluid
    Bertuzzi, A
    Fasano, A
    Gandolfi, A
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2005, 15 (11): : 1735 - 1777
  • [23] A MATHEMATICAL-MODEL OF FLUID-FLOW PHENOMENA IN TUNDISHES
    ELKADDAH, N
    SZEKELY, J
    JOURNAL OF METALS, 1984, 36 (12): : 15 - 15
  • [24] Mathematical model for flow and mass transfer in electromembrane cells with macrovortical fluid flow
    Shapovalov, SV
    Tyurin, VI
    RUSSIAN JOURNAL OF ELECTROCHEMISTRY, 1996, 32 (02) : 214 - 219
  • [25] MOLECULAR DYNAMICS STUDY ON FLUID FLOW IN NANOCHANNELS WITH PERMEABLE WALLS
    Xie, Jian-Fei
    Cao, Bing-Yang
    PROCEEDINGS OF THE ASME 5TH INTERNATIONAL CONFERENCE ON MICRO/NANOSCALE HEAT AND MASS TRANSFER, 2016, VOL 1, 2016,
  • [26] New Mathematical Model of Fluid Flow Around Nanofiber in a Periodic Cell
    R. F. Mardanov
    S. K. Zaripov
    V. F. Sharafutdinov
    Lobachevskii Journal of Mathematics, 2022, 43 : 2206 - 2221
  • [27] New Mathematical Model of Fluid Flow Around Nanofiber in a Periodic Cell
    Mardanov, R. F.
    Zaripov, S. K.
    Sharafutdinov, V. F.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (08) : 2206 - 2221
  • [28] Mathematical model of flow of fluid in 3D porous media
    Li, H
    Setoodehnia, A
    MSV'04 & AMCS'04, PROCEEDINGS, 2004, : 74 - 80
  • [29] FLOW OF FLUID THROUGH WALL OF CAPILLARY SYSTEMS STUDIED BY A MATHEMATICAL MODEL
    HANTOS, Z
    LAZAR, Z
    ACTA PHYSIOLOGICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1970, 38 (04): : 265 - &
  • [30] A MATHEMATICAL MODEL OF THE NEWTONIAN FLUID FLOW IN THE PRESENCE OF APPLIED MAGNETIC FIELD
    Jain, Sushil Kumar
    Kumar, S.
    Sharma, D. S.
    JOURNAL OF RAJASTHAN ACADEMY OF PHYSICAL SCIENCES, 2014, 13 (02): : 109 - 124