Abstract
The complexity of processes in industry, which involved the formation of granular beds, has limited information about permeability (k), which is directly related with packing porosity ε and tortuosity T. For an understanding of the relationship between k, ε and T in mixed beds of particles that are different in size, simplified porous media model of binary mixture of spheres have been. A continuous function relating the porosity of a mixture (ε) with the volume fraction (xD) of binary mixture has been established. The incorporation of the proposed porosity model into the conventional Kozeny-Carmen equation gives a good agreement between the measured and predicted permeability vs.xD. Based on this relation and on the dependence of ε vs.xD, a model predicted tortuosity and permeability was obtained, having demonstrated that the tortuosity may significantly alter the permeability of a mixed bed. This search is useful for transport phenomena analysis in granular beds as well as in engineering applications, such as deep bed filtration used for drinking water purification.
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