View in EDS

Kinetic theory of diffusion in a channel of varying cross section.

Saved in:
Bibliographic Details
Title: Kinetic theory of diffusion in a channel of varying cross section.
Authors: Brey, J. Javier1,2 (AUTHOR) brey@us.es, García de Soria, M. I.1 (AUTHOR), Maynar, P.1 (AUTHOR)
Source: Molecular Physics. Nov2024, Vol. 122 Issue 21/22, p1-12. 12p.
Subjects: Transport equation, Evolution equations, Diffusion coefficients, Transversal lines, Equilibrium
Abstract: Self-diffusion along the longitudinal coordinate in a channel of varying cross section is considered. The starting point is the two-dimensional Enskog-Boltzmann-Lorentz kinetic equation with appropriated boundary conditions. It is integrated over the transversal coordinate to get an approximated one-dimensional kinetic equation, keeping the relevant properties of the original one. Then, a macroscopic equation for the time evolution of the longitudinal density is derived, by means of a modified Chapman-Enskog expansion method, that takes into account the inhomogeneity of the equilibrium longitudinal density. This transport equation has the form of the phenomenological Ficks-Jacobs equation, but with an effective diffusion coefficient that contains corrections associated to the variation of the slope of the equilibrium longitudinal density profile. [ABSTRACT FROM AUTHOR]
Copyright of Molecular Physics is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 181777008
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Kinetic theory of diffusion in a channel of varying cross section.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Brey%2C+J%2E+Javier%22">Brey, J. Javier</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> brey@us.es</i><br /><searchLink fieldCode="AR" term="%22García+de+Soria%2C+M%2E+I%2E%22">García de Soria, M. I.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Maynar%2C+P%2E%22">Maynar, P.</searchLink><relatesTo>1</relatesTo> (AUTHOR)
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Molecular+Physics%22">Molecular Physics</searchLink>. Nov2024, Vol. 122 Issue 21/22, p1-12. 12p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Transport+equation%22">Transport equation</searchLink><br /><searchLink fieldCode="DE" term="%22Evolution+equations%22">Evolution equations</searchLink><br /><searchLink fieldCode="DE" term="%22Diffusion+coefficients%22">Diffusion coefficients</searchLink><br /><searchLink fieldCode="DE" term="%22Transversal+lines%22">Transversal lines</searchLink><br /><searchLink fieldCode="DE" term="%22Equilibrium%22">Equilibrium</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Self-diffusion along the longitudinal coordinate in a channel of varying cross section is considered. The starting point is the two-dimensional Enskog-Boltzmann-Lorentz kinetic equation with appropriated boundary conditions. It is integrated over the transversal coordinate to get an approximated one-dimensional kinetic equation, keeping the relevant properties of the original one. Then, a macroscopic equation for the time evolution of the longitudinal density is derived, by means of a modified Chapman-Enskog expansion method, that takes into account the inhomogeneity of the equilibrium longitudinal density. This transport equation has the form of the phenomenological Ficks-Jacobs equation, but with an effective diffusion coefficient that contains corrections associated to the variation of the slope of the equilibrium longitudinal density profile. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Molecular Physics is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=181777008
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1080/00268976.2024.2378116
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 12
        StartPage: 1
    Subjects:
      – SubjectFull: Transport equation
        Type: general
      – SubjectFull: Evolution equations
        Type: general
      – SubjectFull: Diffusion coefficients
        Type: general
      – SubjectFull: Transversal lines
        Type: general
      – SubjectFull: Equilibrium
        Type: general
    Titles:
      – TitleFull: Kinetic theory of diffusion in a channel of varying cross section.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Brey, J. Javier
      – PersonEntity:
          Name:
            NameFull: García de Soria, M. I.
      – PersonEntity:
          Name:
            NameFull: Maynar, P.
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 11
              Text: Nov2024
              Type: published
              Y: 2024
          Identifiers:
            – Type: issn-print
              Value: 00268976
          Numbering:
            – Type: volume
              Value: 122
            – Type: issue
              Value: 21/22
          Titles:
            – TitleFull: Molecular Physics
              Type: main
ResultId 1