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Published February 1960 | Published
Journal Article Open

Dispersion due to molecular diffusion and macroscopic mixing in flow through a network of capillaries

Saffman, P. G.

Abstract

This paper is concerned with the dispersion of a material quantity in the steady flow of a viscous fluid through a random network of capillaries (which is a useful model of a porous medium), for the case in which molecular diffusion and macroscopic mixing, due to the randomness of the streamlines, are both important. A Lagrangian correlation function is introduced and the longitudinal and lateral effective diffusivities are thereby calculated for all values of Ul/κ less than some large value. Here, l denotes the length of a capillary, U the mean velocity of the fluid, and κ the molecular diffusivity of the material quantity. The theory is compared with experimental observations of dispersion in flow through granular beds.

Additional Information

© 1960 Cambridge University Press. (Received 27 May 1959)

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Created:
August 19, 2023
Modified:
October 19, 2023