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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimir: 2152-5102
ISSN On-line: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v26.i1.40
pages 49-71

Field Conservation Equations for Polydisperse Suspensions

Yu. A. Buyevich
CRSS, University of California, Santa Barbara, USA

RESUMO

A formulation of the field conservation equations for incompressible multiphase disperse systems is developed based on volume averaging. The results differ from generally used previous formulations in the representation of the stress fields. The mean stresses that affect mean flow of the dispersed phase components are shown to be completely independent of stresses that influence the continuous phase mean flow. However, the continuous phase stresses determine the interphase interaction forces that appear in all momentum conservation equations. A consistent account of polydispersivity and collisional effects is provided, thus opening the way for proper constitutive formulations, and extensions to more complex situations including compressibility.


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