A calculation is given of the viscous force, exerted by a flowing fluid on a dense swarm of particles. The model underlying these calculations is that of a spherical particle embedded in a porous mass. The flow through this porous mass is decribed by a modification of Darcy's equation. Such a modification was necessary in order to obtain consistent boundary conditions. A relation between permeability and particle size and density is obtained. Our results are compared with an experimental relation due to Carman.
%0 Journal Article
%1 Brinkman1949
%A Brinkman, H. C.
%D 1949
%J Flow, Turbulence and Combustion
%K 76s05-flows-in-porous-media 76t10-liquid-gas-two-phase-flows-bubbly-flows
%N 1
%P 27
%R 10.1007/BF02120313
%T A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
%U https://doi.org/10.1007/BF02120313
%V 1
%X A calculation is given of the viscous force, exerted by a flowing fluid on a dense swarm of particles. The model underlying these calculations is that of a spherical particle embedded in a porous mass. The flow through this porous mass is decribed by a modification of Darcy's equation. Such a modification was necessary in order to obtain consistent boundary conditions. A relation between permeability and particle size and density is obtained. Our results are compared with an experimental relation due to Carman.
@article{Brinkman1949,
abstract = {A calculation is given of the viscous force, exerted by a flowing fluid on a dense swarm of particles. The model underlying these calculations is that of a spherical particle embedded in a porous mass. The flow through this porous mass is decribed by a modification of Darcy's equation. Such a modification was necessary in order to obtain consistent boundary conditions. A relation between permeability and particle size and density is obtained. Our results are compared with an experimental relation due to Carman.},
added-at = {2020-02-17T03:02:45.000+0100},
author = {Brinkman, H. C.},
biburl = {https://www.bibsonomy.org/bibtex/2c0e99e0373fe90c3ec49cead1a0fbb37/gdmcbain},
day = 01,
doi = {10.1007/BF02120313},
interhash = {66d10c7b29f6a6b23b10cec81d500e5b},
intrahash = {c0e99e0373fe90c3ec49cead1a0fbb37},
issn = {1573-1987},
journal = {Flow, Turbulence and Combustion},
keywords = {76s05-flows-in-porous-media 76t10-liquid-gas-two-phase-flows-bubbly-flows},
month = dec,
number = 1,
pages = 27,
timestamp = {2020-02-17T03:02:45.000+0100},
title = {A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles},
url = {https://doi.org/10.1007/BF02120313},
volume = 1,
year = 1949
}