The Flow of Air Through Porous Media

Sullivan, R. R.; Hertel, K.L.

doi:10.1063/1.1712733

Cited by 69 publications

(27 citation statements)

References 4 publications

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“…Since the model assumes fibers which are circular in cross section and the Permanent Aluminum "A" fibers are very far from this assumption, it is concluded that the fiber shape does have an important effect when it deviates widely from circular. This result is also in agreement with Sullivan and Hertel's (1940) conclusion that h should depend on fiber shape. Racorr was then substituted, along with experimental conditions, into eq 23 to obtain a total fiber efficiency due to impaction.…”

Section: Comparison With Experimentssupporting

confidence: 93%

A Model of Aerosol Filtration by Fibrous Filters

Bragg¹,

Pearson²

1979

Ind. Eng. Chem. Proc. Des. Dev.

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An analytic model describing a fibrous filter has been developed. Helical tubes are assumed to represent the flow passages in a filter. The model can be used to predict pressure drop and particle collection efficiency due to inertial impaction and diffusion. The predictions are compared with experiments and appear to be valid for porosities between 0.70 and 0.994 and for fiber diameters greater than 5 pm. The results of the present model are shown to compare quite favorably with those of other models for collection efficiency. Finally, the adaptability of the present model to future improvements is discussed.

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Section: Comparison With Experimentssupporting

confidence: 93%

A Model of Aerosol Filtration by Fibrous Filters

Bragg¹,

Pearson²

1979

Ind. Eng. Chem. Proc. Des. Dev.

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“…The Kozeny constant is dependent on the orientation of the fibers, and was found to be 3.07 for flow through a bed of glass fibers oriented approximately parallel, and 6.04 for fibers oriented perpendicular, to the direction of flow (Sullivan and Hertel, 1940).…”

Section: Theoretical Relationshipsmentioning

confidence: 99%

Fluid flow in compressible porous media: I: Steady‐state conditions

Jonsson

Jönsson

1992

AIChE Journal

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“…Fowler and Hertel (1940) and Sullivan and Hertel (1940) studied flow of gases through porous media and considered anisotropy by introducing terms that incorporated the average angle between the direction of macroscopic flow and the direction normal to an element of surface exposed to the flow, θ average . They concluded that the permeability proportionality constant, k p , is related to θ average by the expression…”

Section: Expressions For Permeability Anisotropymentioning

confidence: 99%

Permeability anisotropy due to consolidation of compressible porous media

et al. 2006

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The characterisation of flow through porous media is important for all solid-liquid separation and fluid transport realms. The permeability of porous media can be anisotropic and furthermore, the extent of anisotropy can be increased as a result of an applied compressive force. However, the understanding of how anisotropy develops is incomplete. An overview of research on permeability anisotropy is given and an expression for predicting anisotropy as a function of void ratio is offered. The two underlying assumptions of the proposed model are: flow in different directions occurs within the same network of pores and deformation is primarily due to the compression of the particles in the direction of the applied force rather than due to particle rearrangement. The assumption of network connectivity allows permeability anisotropy to be described as a function of flow path tortuosity only. Results are presented for hydraulic anisotropy measured in lignite that has been upgraded by a compression dewatering method known as mechanical thermal expression. The lignite permeability is shown to be up to eight times greater in the direction perpendicular to compression, suggesting that the rate of dewatering could be significantly increased by choosing the drainage to also be perpendicular to the direction of the applied compressive force. It is illustrated that the proposed anisotropy model can be used to accurately predict the experimentally determined permeability anisotropy ratios for lignite, as well as for other materials including sand, clay and kaolin. Nomenclature aLength of the major axis of a particle (m) a 0 Initial length of the major axis of a particle (m) A Anisotropy due to particle shape and orientation (-) 366 O.N. Scholes et al. bLength of the minor axis of a particle (m) b 0 Initial length of the minor axis of a particle (m) C K Kozeny shape factor (-) c Empirical constant (-) d Empirical constant (-) e Void ratio, which equals [volume of voids]/[volume of solids] (m 3 /m 3 ) e 0 Maximum void ratio where permeability isotropy exists (m 3 /m 3 ) e 1 First measured void ratio (m 3 /m 3 ) e max Maximum void ratio (m 3 /m 3 ) e opt Void ratio at optimum density of the modified proctor test (m 3 /m 3 ) F Formation resistivity factor (-)

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The Flow of Air Through Porous Media

Abstract: The values of the constant in the equation which relates permeability of a porous medium to the porosity and specific surface of the medium are determined for three cases. These experimental values are found to be consistent with the theoretical indications of Fowler and Hertel.

Cited by 69 publications

References 4 publications

A Model of Aerosol Filtration by Fibrous Filters

A Model of Aerosol Filtration by Fibrous Filters

Fluid flow in compressible porous media: I: Steady‐state conditions

Permeability anisotropy due to consolidation of compressible porous media

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