Averaging in mathematical modelling of heterogeneous and dispersed mixtures.

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Abstract

Spatial averaging of two-single phase media equaitons 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 mondisperesed 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 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. are discsussed. Some aspects of earlier studies are criticaly analysed. (A)

Original languageEnglish
Title of host publicationIN
Subtitle of host publicationTWO-PHASE MOMENTUM, HEAT AND MASS TRANSFER IN CHEMICAL, PROCESS, AND ENERGY ENGINEERING SYSTEMS, F. DURST; G.V. TSIKLAUR;
PublisherHemisphere Publishing Corp
Volume1 , Washingotn, U.S.A., Hemisphere Publishing Corp., 1979, p.79,-103. (Series in Thermal & Fluids Syst
ISBN (Print)089116104X, 9780891161042
Publication statusPublished - 1979
Externally publishedYes

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