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

Saffman, P. G. (1960) Dispersion due to molecular diffusion and macroscopic mixing in flow through a network of capillaries. Journal of Fluid Mechanics, 7 (2). pp. 194-208. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:20181119-161052816

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1017/s0022112060001432DOIArticle
Additional Information:© 1960 Cambridge University Press. (Received 27 May 1959)
Record Number:CaltechAUTHORS:20181119-161052816
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20181119-161052816
Official Citation:Saffman, P. (1960). Dispersion due to molecular diffusion and macroscopic mixing in flow through a network of capillaries. Journal of Fluid Mechanics, 7(2), 194-208. doi:10.1017/S0022112060001432
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:91048
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:20 Nov 2018 19:39
Last Modified:20 Nov 2018 19:39

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