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 |
