Titre du document / Document title

Ensemble-average equations of a particulate mixture

Auteur(s) / Author(s)

LILJEGREN L. M. ⁽¹⁾ ;

Affiliation(s) du ou des auteurs / Author(s) Affiliation(s)

⁽¹⁾ Analytic Sciences Department, Pacific Northwest Laboratory, Richland, WA 99352, ETATS-UNIS

Résumé / Abstract

A method of evaluating the transfer terms appearing in the ensemble-average fluid transport equation is developed and applied to obtain the transport equations describing flow of a dilute particulate mixture containing solid spherical particles. The equations apply in the limit where interactions between phases are both quasi-steady and viscous, which is defined as flows that meet the three criterion Re_f(a/L')² << 1, v_fτ/a² >> 1, and Re_p >> 1. In this limit, the terms describing transfer of momentum between the two phases of the mixture are evaluated to O(1) in the particle radius and O(γ_p) in the particle phase density. The continuity equations and consistency principle are exact. When the first two conditions are not met, the transport equations require the terms that describe virtual mass forces; when the third is not met, the transport equations require terms that describe Oseen corrections to the drag term.

Revue / Journal Title

Journal of fluids engineering   ISSN 0098-2202   CODEN JFEGA4 

Source / Source

1997, vol. 119, n^o2, pp. 428-434 (12 ref.)

Langue / Language

Anglais

Editeur / Publisher

American Society of Mechanical Engineers, New York, NY, ETATS-UNIS  (1973) (Revue)

Mots-clés anglais / English Keywords

Two-phase flow ; Particle suspension ; Transport equation ; Spherical particle ; Closures ; Modeling ; Conservation laws ; Truncation error ; Averaging method ;

Mots-clés français / French Keywords

Ecoulement diphasique ; Suspension particule ; Equation transport ; Particule sphérique ; Fermeture ; Modélisation ; Loi conservation ; Erreur troncature ; Méthode moyenne ;

Mots-clés espagnols / Spanish Keywords

Suspensión partícula ; Ecuación transporte ; Partícula esférica ; Modelización ; Error truncamiento ; Método medio ;

Localisation / Location

INIST-CNRS, Cote INIST : 6120 I, 35400006190236.0250