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Proofs of the volume averaging theorems for multiphase flow

✍ Scribed by John H. Cushman

Publisher: Elsevier Science
Year: 1982
Tongue: English
Weight: 452 KB
Volume: 5
Category: Article
ISSN: 0309-1708
DOI: 10.1016/0309-1708(82)90009-4

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The theorem for the local volume average of a gmdient formulated by SIattery[l] is analyzed from the mathematical point of view. It is shown that the expression for the average of a gradient as sum of the gradient of an average and of an interior wall term ("tortuosity") for a porous material is mat