Tortuous flow in porous media

Koponen, Antti; Kataja, M.; Timonen, J.

doi:10.1103/physreve.54.406

Cited by 353 publications

(261 citation statements)

References 9 publications

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“…The tortuosity was correlated as a function of the porosity as follows Koponen et al [16] studied the tortuosity of the flow in a random two dimensional porous medium using the LGA with periodic boundary conditions in both directions. Obstacles were defined as randomly placed squares with free overlapping.…”

Section: Resultsmentioning

confidence: 99%

Fluid Flow Simulation in Random Porous Media at Pore Level Using Lattice Boltzmann Method

Nabovati

Sousa

2007

New Trends in Fluid Mechanics Research

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Fluid flow in two dimensional random porous media is simulated at pore level using the Lattice Boltzmann Method. Random media are constructed by placing identical rectangles with a random distribution and free overlapping. Different domain resolutions are examined and it is shown that the effect of the domain resolution is negligible in the range examined. Simulations clearly indicate, for the same porosity, the permeability of the random porous media is lower than the permeability of the regularly ordered medium; the permeability, independently of the porous media organization, varies exponentially with the porosity. Average tortuosity of the flow is calculated and it is proposed its correlation with the porosity. The effect of the aspect ratio of the randomly placed obstacles on the predicted tortuosity and permeability is studied, and it is found that an increase of the obstacles' aspect ratio (height to width ratio) yields an increase of the tortuosity and consequent decrease of the permeability. The predicted values of the permeability and tortuosity are in close agreement with the data available in the literature.

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Section: Resultsmentioning

confidence: 99%

Fluid Flow Simulation in Random Porous Media at Pore Level Using Lattice Boltzmann Method

Nabovati

Sousa

2007

New Trends in Fluid Mechanics Research

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“…The tortuosity calculated by eq. (8) was proven to be correct for capillary systems [64]. For general porous structure this approach is an approximation.…”

Section: Permeability and Tortuositymentioning

confidence: 99%

“…between the planes where the fluid enters the porous structure and where it leaves. We calculated the tortuosity in a simplified way as presented by Koponen et al [64] …”

Section: Permeability and Tortuositymentioning

confidence: 99%

3D analysis, modeling and simulation of transport processes in compressed fibrous microstructures, using the Lattice Boltzmann method

Froning

Brinkmann

Reimer

et al. 2013

Electrochimica Acta

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In this paper we combine a stochastic 3D microstructure model of a fiber based gas diffusion layer of polymer electrolyte fuel cells with a Lattice Boltzmann model for fluid transport. We focus on a simple approach of compressing the planar oriented virtual geometry of paper-type gas diffusion layer from Toray. Material parameters -permeability and tortuosity -are calculated from simulation of one phase, one component gas flow in stochastic geometries. We analyze the statistical spread of simulation results on ensembles of the virtual geometry, both uncompressed and compressed. The influence of the compression is discussed with regard to the Kozeny-Carman equation. The effective transport properties calculated from transport simulations in compressed gas diffusion layers agree well with a trend based on the Kozeny-Carman equation.

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“…Haddock et al (1999) For the tortuosity, various empirical and theoretical estimates all give similar curves for tortuosity τ as a function of porosity φ (see, for example Koponen et al, 1996;Yu and Li, 2004). For φ = 0.8, these formulae typically predict tortuosity values in the range 1.1-1.2.…”

Section: A1 Permeability and Tortuosity Of The Scaffoldmentioning

confidence: 84%

Mathematical modelling of fibre-enhanced perfusion inside a tissue-engineering bioreactor

Whittaker

Booth

Dyson

et al. 2009

Journal of Theoretical Biology

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We develop a simple mathematical model for forced flow of culture medium through a porous scaffold in a tissue engineering bioreactor. Porous-walled hollow fibres penetrate the scaffold and act as additional sources of culture medium. The model, based on Darcy's law, is used to examine the nutrient and shear stress distributions throughout the scaffold. We consider several configurations of fibres and inlet and outlet pipes. Compared with a numerical solution of the full Navier-Stokes equations within the complex scaffold geometry, the modelling approach is cheap, and does not require knowledge of the detailed microstructure of the particular scaffold being used. The potential of this approach is demonstrated through quantification of the effect the additional flow from the fibres has on the nutrient and shear-stress distribution.

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Tortuous flow in porous media

Cited by 353 publications

References 9 publications

Fluid Flow Simulation in Random Porous Media at Pore Level Using Lattice Boltzmann Method

Fluid Flow Simulation in Random Porous Media at Pore Level Using Lattice Boltzmann Method

3D analysis, modeling and simulation of transport processes in compressed fibrous microstructures, using the Lattice Boltzmann method

Mathematical modelling of fibre-enhanced perfusion inside a tissue-engineering bioreactor

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