Abstract
We present an analytical model capable of demonstrating the dependence of tortuosity of two-phase porous media upon two topological parameters: porosity and pore shape. Based on a generalized effective thermal conductivity model and a particular solution to the Laplace heat conduction equation for two-phase porous media having randomly distributed non-conducting circular pores, an analytical model of tortuosity is derived. For non-circular pores such as idealized polygonal pores, the circularity-based concept of pore shape factor is incorporated into the model, which is capable of analytically unifying existing models which are valid only for limited porosity ranges and circular pore shapes.
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