格子ボルツマン法による二次元多孔質内流動特性の解析 : 流体工学,流体機械

概要

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Lattice Boltzmann simulation in two-dimensional porous media has been conducted in order to investigate effect of pore structure on shape factor in capillaric permeability model. Capillaric permeability model that approximates porous media as conduits to bundle of tubes provides permeabilities of Darcy's law. Since deviation from tubes is empirically imposed on shape factor, fundamental study to clarify effects of pore structure on shape factor is of great importance. In this study, a new boundary condition of LBM for arbitrary shape has been applied to various fundamental two-dimensional porous media. Shape factors reflecting pore structure were obtained. Under the conditions that porosity and hydraulic diameter are constant, shape factors are calculated in porous media that elliptic cylinders were arranged in staggered, square and hexagonal grids. Shape factors increased to 3 to 10 in these arrangements. Comprehensive interpretations have been made to elucidate effects of narrow flow path and stagnation on shape factors, which depends on the arrangements of the objects.
2001-08-25