A Reconciliation of Packed Column Permeability Data: Column Permeability as a Function of Particle Porosity

Table 4

Glossary of terms.

Symbol	Unit dimensions (cgs)	Definition
𝐴	cm^2	Column cross-sectional area
𝐷	cm	Column diameter
𝑑𝑝	cm	Particle spherical diameter equivalent
Δ𝑃	gcm^−1sec^−2	Pressure drop along column
𝑑𝑝𝑚	cm	Average particle diameter (measured)
𝑘0	None	Guiochon's residual reciprocal permeability coefficient
𝑃𝑡	None	Guiochon's modified permeability coefficient in Kozeny-Blake equation
𝐿	cm	Column length
𝑃0	None	Permeability coefficient in Kozeny-Blake equation
𝑄	cm^3min^−1 (exception)	Volumetric fluid flow rate
𝑡0	sec	Time for elution of totally permeating unretained solute
𝑘	cm^2	General permeability coefficient in Darcy equation
𝐾𝐹	cm^2	Halász's permeability coefficient in Darcy equation (1974 paper)
𝐾	cm^2	Halász's permeability coefficient in Darcy equation (1972 paper)
𝐾𝑐	None	Guiochon's permeability coefficient in the Kozeny-Blake equation (as modified by Carmen)
Greek
𝜀0	None	External column porosity
𝜀𝑖	None	Internal column porosity
𝜀𝑡	None	Total column porosity
𝜀𝑝	None	Particle porosity
Φ	None	Giddings' ratio of external and total column porosity
𝜙	None	Flow resistance parameter based on mobile phase velocity
𝜙0	None	Flow resistance parameter based on superficial velocity
Ω𝑝	None	Particle sphericity factor
𝜂	gcm^−1sec^−1	Fluid absolute viscosity
𝜇𝑖	cmsec^−1	Average fluid interstitial linear velocity
𝜇𝑠	cmsec^−1	Average fluid superficial linear velocity
𝜇𝑡	cmsec^−1	Average mobile phase velocity
Ψ	None	Porosity dependence term in the Kozeny-Blake equation based on mobile phase velocity
Ψ0	None	Porosity dependence term in the Kozeny-Blake equation based on superficial velocity