年間 12 号発行
ISSN 印刷: 1091-028X
ISSN オンライン: 1934-0508
Indexed in
MODELING THE CONNECTION BETWEEN POROSITY AND PERMEABILITY: AMIXTURE THEORY APPROACH
要約
This work investigates the connection between porosity and permeability and its influence in the flow of a power law fluid through a porous matrix using a continuum theory of mixtures. Within this framework, both fluid and porous matrix are considered superimposed continuous constituents of a binary mixture. A complete set of constitutive equations is presented. The proposed expression relating permeability and porosity depends on two positive material parameters only. Special attention is given to the constitutive expression adopted for the interaction force (a momentum source) because it is the key to performing a physically realistic connection between porosity and permeability. To better understand the coupled influence of porosity and permeability on the flow, a dimensionless parameter relating these quantities is proposed. Comparison with experimental data for distinct porous material obtained by several authors attests to the good performance of the proposed equation.