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Special Topics & Reviews in Porous Media - An International Journal
RECONCILIATION OF PACKED COLUMN PERMEABILITY DATAPART 1. THE TEACHING OF GIDDINGS REVISITED FLUCTUATIONS
Hubert M. Quinn
The Wrangler Group LLC
In his classic text, Giddings (1965) put in writing a "Rosetta Stone" for packed column permeability research, which has gained little recognition since then. This lack of recognition is due partly to the complex nature of the subject matter and partly to the context, which was purely chromatographic. In it, he established experimentally that the value of his parameter φ0 pertaining to packed chromatographic columns was 300 for well-packed columns containing narrow distributions of spherical nonporous glass beads. Unfortunately, however, even though engineers and chromatographers spend much of their energy dealing with the same subject matterthe flow of liquids through conduits and packed bedsneither of these scientific disciplines recognized the relative importance of this contribution to the understanding of the pressure-flow relationship in general, and packed beds in particular. In this paper, we explore Giddings' unique concept of mean fluid velocity through a cross section. As a result, when taken in conjunction with his measured values for φ0, the inescapable conclusion is that the true value of the permeability coefficient in the Kozeny-Blake equation is not Carman's celebrated value of 180, but rather the much greater value of 267. Moreover, we also demonstrate that although Giddings applied his conclusion concerning its value (which he expressed in 1991) to all particle types, his bona fides was rooted in his measurements on the nonporous smooth spherical glass beads reported in his 1965 textbook. Finally, in an elaboration of Giddings' Table 5.3-1, we show that all his experimental results, both for columns packed with porous particles and for columns packed with nonporous particles, support this value.
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