AVERAGING IN MATHEMATICAL MODELLING OF HETEROGENEOUS AND DISPERSED MIXTURES.

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Abstract

Spatial averaging of two-single phase media equations is separately considered in regard of the volumes occupied by either phase with consideration of the boundary conditions on phase interfaces. The equations obtained are concretized to describe the monodispersed mixtures within a ″cellular″ scheme. A closed system of equations is obtained for two extreme cases: an ideal incompressible carrier fluid and extremely viscous incompressible carrier fluid, which are correlative with the inertial and viscous motions in the cell. The effects are discussed of radial bubble motion, of the orientated rotation of dispersed particles (the symmetry and asymmetry of a stress tensor), of viscosity, of phase transitions, of the finite volume content of dispersed particles, etc.

Original languageEnglish
Pages (from-to)79-103
Number of pages25
JournalAIChE Symposium Series
Volume1
Publication statusPublished - 1979
Externally publishedYes
EventTwo-phase Momentum, Heat and Mass Transfer in Chem, Process, and Energy Eng Syst, Pap Presented at the Semin of the Int Cent for Heat and Mass Transfer - Dubrovnik, Yugosl
Duration: 4 Sep 19789 Sep 1978

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