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General conservation equations for multi-phase systems: 1. Averaging procedure

Authors
Journal
Advances in Water Resources
0309-1708
Publisher
Elsevier
Publication Date
Volume
2
Identifiers
DOI: 10.1016/0309-1708(79)90025-3

Abstract

Abstract A systematic procedure for averaging continuum equations over representative regions of multiphase systems is developed. Mass and areal averages as well as volume averages are defined to ensure that the averaged quantities are physically meaningful. The averaging procedure is then applied to a general balance equation, and the averaged general equation along with the appropriate macroscopic jump condition useful for the description of multiphase systems are derived.

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