年間 12 号発行
ISSN 印刷: 1091-028X
ISSN オンライン: 1934-0508
Indexed in
Darcy's Law for Immiscible Two-Phase Flow: A Theoretical Development
要約
The aim of this paper is to show how the method of volume averaging can be used to obtain a closed set of averaged equations for bubbling flow. The Navier-Stokes equations are considered as the starting point for the volume-averaging method. The closure was formulated as an associated problem with the deviations around averaged values of the local variables. When the traditional length-scale restrictions are imposed, the volume-averaged momentum equation can be given by 〈Vk〉k − 〈Vm〉m = Kk · (−∇ 〈pk〉k + ρkgk), which is equivalent to Darcy's law. The tensor Kk is determined by closure problems that must be solved using a spatially periodic model of a two-phase flow medium.
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