微視的な内部流動を考慮した多孔質体の透過率の理論的評価〔流体工学, 流体機械〕

概要

論文の詳細を見る
The behavior of flow in porous media has been investigated using a model of a homogeneous medium obeying Darcy's law. As the permeability reflects the microstructure of porous media, theoretical analysis is performed for evaluation of the permeability of the medium, including the microscopic internal flow. The fluid flow in the medium is assumed to be Stokes flow. Homogenization theory with multiscale asymptotic expansion is used to derive Darcy's law from governing equations for Stokes flow theoretically. The microstructure of the medium is modeled as a body-centered cubic array of sphere particles connected to each other periodically. A cubic unit cell is placed in the microscopic field of the medium to represent a boundary value problem of the internal flow. The internal flow is formulated using intergral equations. Permeability and microscopic fluid flow of the medium are shown by three-dimensional boundary element analysis on the cubic unit cell.
一般社団法人日本機械学会の論文
1997-12-25