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

Jonsson, K.; Jönsson, Bengt

doi:10.1002/aic.690380904

Cited by 48 publications

(37 citation statements)

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“…In Jönsson's work [10], the total pressure (P tot ) associated with fluid flow through a porous medium system is the sum of the hydraulic pressure (P h ) that drives the fluid flow through the porous medium, and the mechanical stress (σ m ) that deforms the porous medium. The mechanical stress arises from the drag of fluid on the surface of the medium as the fluid flows.…”

Section: Modeling Of Permeationmentioning

confidence: 99%

“…Schematic of deformation of an electrospun mat under pressure driven flow. The density of the dots represents qualitatively the degree of compaction [10].…”

Section: δPmentioning

confidence: 99%

“…Zhu et al [8] and Kataja et al [9] modeled water permeation during wet pressing of paper. Jönsson and Jönsson [10,11] modeled filtration through compressible porous media as the gradual transformation of hydraulic pressure into mechanical stress on the porous solid. The main difference between the systems mentioned above is the structure of the porous network, which affects the expressions of permeability constant and compressibility.…”

Section: Introductionmentioning

confidence: 99%

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Permeability of electrospun fiber mats under hydraulic flow

Choong

Khan

2014

Journal of Membrane Science

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Hydraulic permeability of electrospun fiber mats under flow-induced compression has been modeled and verified experimentally. The permeation model accurately estimates the changes in solidity, and hence the permeability of the electrospun mats, over a range of pressure differentials. The model is based on Darcy's law applied to a compressible, porous medium, using Happel's equation for the permeability and Toll's equation for the compressibility of fiber mats. Hydraulic permeability of electrospun mats of bis-phenol A polysulfone (PSU) comprising fibers of different mean diameter, annealed at temperatures at and above the glass transition of the polymer, was measured for feed water pressures ranging from 5 kPa to 140 kPa. The electrospun mats are found to experience a decrease of more than 60% in permeability constant between 5 and 140 kPa due to the loss of porosity resulting from the flow-induced compression.

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Section: Modeling Of Permeationmentioning

confidence: 99%

“…Schematic of deformation of an electrospun mat under pressure driven flow. The density of the dots represents qualitatively the degree of compaction [10].…”

Section: δPmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Permeability of electrospun fiber mats under hydraulic flow

Choong

Khan

2014

Journal of Membrane Science

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“…The correlation between fluid flow and pressure drop across a medium may be derived from Darcy's law and expressed in the general form (Jonsson and Jonsson, 1992):…”

Section: Aiche Journalmentioning

confidence: 99%

“…When fluid flow in compressible media is described the difficulty lies in that mechanical loads, as well as drag forces, deform the solid matrix. This mechanical and hydraulic pressure-induced compression of the matrix results in an increased resistance to liquid flow due to a decrease in the interstitial space.A theoretical flow model relating pressure and steady-state fluid flow in a compressible porous media was derived in a previous article (Jonsson and Jonsson, 1992). In this article a flow equation is presented which allows the derivation of the time dependency of porosity and flow at varying locations in the medium.…”

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confidence: 99%

Fluid flow in compressible porous media: II: Dynamic behavior

Jonsson

Jönsson

1992

AIChE Journal

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This article deals with the dynamic behavior during filtration and wet pressing The program has also been used to calculate the flow and concentration variations during mechanical impulse loading ( that is, a press pulse). IntroductionThe fundamental aspects of flow in porous media have been discussed in a vast number of articles. However, most describe the fluid flow in rigid materials. When fluid flow in compressible media is described the difficulty lies in that mechanical loads, as well as drag forces, deform the solid matrix. This mechanical and hydraulic pressure-induced compression of the matrix results in an increased resistance to liquid flow due to a decrease in the interstitial space.A theoretical flow model relating pressure and steady-state fluid flow in a compressible porous media was derived in a previous article (Jonsson and Jonsson, 1992). In this article a flow equation is presented which allows the derivation of the time dependency of porosity and flow at varying locations in the medium. The presented equation allows the dynamics of media subjected to a compressive stress induced by hydraulic pressure and/or a mechanical load to be studied.Knowledge about the dynamic flow conditions of porous media is of the utmost importance in many industrial applications; papermaking being probably the one of greatest economic importance. Increasing the efficiency of the press section of paper machines is an attractive route to achieving energy savings. Hence, great efforts have been made to develop tools for papermakers to predict and control the water removal during wet pressing of paper webs (Nilsson and Larsson, 1968 Westra, 1975;Jewett et al., 1982;Caulfield et al., 1982;Ceckler et al., 1982;Vincent et al., 1988;Burns et al., 1990;Roux and Vincent, 1991). A comprehensive review of articles treating the dynamics of water flow during wet pressing has recently been published by El-Hosseiny (1991).The use of the numerical program, developed in conjunction with this work, is illustrated by following flow and porosity variations during filtration and during wet pressing of compressible porous media. The influence of pressure and compressibility on porosity and the dynamic behavior of a medium during a press pulse are also discussed. Dynamic Fluid Flow EquationIn a previous article (Jonsson and Jonsson, 1992) an expression describing fluid flow through compressible porous media under stationary conditions was derived. The description of the dynamic behavior derived in this paper is based on the same basic assumptions:The total volume of the porous medium can be divided into the volume of solid material, V,, the volume of adsorbed water, Vo, and the void volume, V,. The volume that the solid material and adsorbed water occupy, Vsa, is regarded as an incompressible part of the medium and thus, deformation of the medium affects only the void volume, V,.There is no mixing of solid material between different layers in the solid matrix. A layer may be compressed, or AIChE JournalSeptember 1992 Vol. 38, No. 9 1349exp...

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