Kinetic derivation of Cahn-Hilliard fluid models - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2021

Kinetic derivation of Cahn-Hilliard fluid models

Résumé

A compressible Cahn-Hilliard fluid model is derived from the kinetic theory of dense gas mixtures. The fluid model involves a van der Waals/Cahn-Hilliard gradient energy, a generalized Korteweg's tensor, a generalized Dunn and Serrin heat flux, and Cahn-Hilliard diffusive fluxes. Starting form the BBGKY hierarchy for gas mixtures, a Chapman-Enskog method is used-with a proper scaling of the generalized Boltzmann equations-as well as higher order Taylor expansions of pair distribution functions. An Euler/van der Waals model is obtained at zeroth order while the Cahn-Hilliard fluid model is obtained at first order involving viscous, heat and diffusive fluxes. The Cahn-Hilliard extra terms are associated with intermolecular forces and pair interaction potentials.
Fichier principal
Vignette du fichier
CHBoltzmannRevisedHal.pdf (511.44 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04444776 , version 1 (22-08-2021)
hal-04444776 , version 2 (21-10-2021)
hal-04444776 , version 3 (08-11-2021)
hal-04444776 , version 4 (09-02-2024)

Identifiants

  • HAL Id : hal-04444776 , version 2

Citer

Vincent Giovangigli. Kinetic derivation of Cahn-Hilliard fluid models. 2021. ⟨hal-04444776v2⟩
215 Consultations
599 Téléchargements

Partager

More