Abstract
The Poiseuille type of equation for capillaries of any shape takes the form,
for capillaries of any cross-section, where k0 = 2 and m = r/2 for a circular capillary of radius r, and k0 has generally values between 2 and 3 for other shapes1. Application of this to granular beds follows by putting u = ue. ɛ. L/Le, m = ɛ/Sσ(1 — ɛ), k = k0. (Le/L)2, whence k is known as Kozeny's constant, and is approximately equal to 5 1,2, δp is pressure drop in dynes/cm.2, and other symbols are as in the paper of Lea and Nurse2.
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References
Carman, P. C., Trans. Inst. Chem. Eng., 15, 150 (1937).
Lea, F. M., and Nurse, R. W., "Permeability Methods of Fineness Measurement", Symposium held on February 4, 1947, by Inst. Chem. Eng. and Soc. Chem. Ind. on "Particle Size Analysis".
Millikan, R., Phys. Rev., 21, 224 (1923).
Rigden, P. J., Nature, 157, 268 (1946).
Brown, G. P., DiNardo, A., Cheng, G. K., and Sherwood, T. K., J. Appl. Phys., 17, 802 (1946).
Holmes, W. R., Nature, 157, 694 (1946).
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CARMAN, P. Slip Flow in Granular Beds. Nature 160, 301–302 (1947). https://doi.org/10.1038/160301b0
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DOI: https://doi.org/10.1038/160301b0
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