The Monte Carlo method pertinent to the analysis of Knudsen flow through periodically constricted pores composed of many unit pores was proposed.
The determinations of the transmission probability for the pore systems to 15th connections are capable by the present method.
On the basis of calculated transmission probability, the conductances for fully developed free molecule flow in the pore system are obtained.
The path factors (constriction factors) for free molecule, laminar flow and diffusion in the pore systems are predicted, according to the reported analyses. It reveals that the path factor for laminar flow is larger than that for free molecule flow.
The equivalent capillary equation for the packed bed of spherical glass beads was derived on the basis of path factor for free molecule flow. The predicted permeability and observed one under free molecule regime are in good agreement.
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