Dispersion due to molecular diffusion and macroscopic mixing in flow through a network of capillaries
- Creators
- 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)Attached Files
Published - dispersion_due_to_molecular_diffusion_and_macroscopic_mixing_in_flow_through_a_network_of_capillaries.pdf
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Additional details
- Eprint ID
- 91048
- Resolver ID
- CaltechAUTHORS:20181119-161052816
- Created
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2018-11-20Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field