Analytical derivation of tortuosity and permeability of monosized spheres: A volume averaging approach

Ahmadi, Mohammad Mehdi; Mohammadi, Soheil; Hayati, Ali Nemati

doi:10.1103/physreve.83.026312

Cited by 128 publications

(81 citation statements)

References 36 publications

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“…The discussion until now has confirmed that material particle size, material sorting and material geometry all significantly influence the hydraulic conductivity [50,[52][53][54]. In Fe 0 beds, in-situ generated iron hydroxides tend to cement initial particles and decrease both porosity and permeability.…”

Section: Permeability Lossmentioning

confidence: 88%

See 1 more Smart Citation

Testing the suitability of metallic iron for environmental remediation: Discoloration of methylene blue in column studies

Miyajima²,

Noubactep³

et al. 2013

Chemical Engineering Journal

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A new method to correlate intrinsic reactivity and treatability efficiency of metallic iron ( Metallic iron (Fe 0 ) is a reactive material currently used for environmental remediation and safe drinking water provision [1][2][3][4][5][6][7]. Available Fe 0 materials are obtained from various sources [8][9][10][11][12] and are supposed to satisfy design expectations [7,[13][14][15][16][17]. However, there is no standard method to access the suitability of Fe 0 materials for individual applications. As a rule, used materials are characterized: (i) by selected physical and chemical parameters (e.g.elemental composition, particle size, surface area) and (ii) for their ability to remove the specific species of interest (efficiency in treatability studies) [11,18,19]. However, each reactive material should be primarily characterized by its intrinsic reactivity.The 'intrinsic reactivity' is a material-dependent but system-independent qualitative trend.The 'removal efficiency' or 'treatability efficiency' is a system-dependent quantifiable

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Section: Permeability Lossmentioning

confidence: 88%

“…4) was essentially lower for ZVI1 than for ZVI10 and ZVI9. This behaviour is primarily attributed to the material sorting [50][51][52][53][54]. In fact, a packed bed of a better sorted granular material exhibits a greater permeability.…”

Section: Mb Discolorationmentioning

confidence: 99%

Testing the suitability of metallic iron for environmental remediation: Discoloration of methylene blue in column studies

Miyajima²,

Noubactep³

et al. 2013

Chemical Engineering Journal

View full text Add to dashboard Cite

show abstract

“…Its relations to porosity have been reported in various forms of relation [5,6]. In this work instead of tortuosity another related term, average tortuosity, is introduced, which is averaged though all possible values within certain value of porosity.…”

Section: Introductionmentioning

confidence: 99%

Construction of Maximum Tortuosity of Single Fluid Path in Grid-based 2-d System (5×20) and 3-d system (5×20×3) for Certain Value of Porosity

Viridi

Latief

Khotimah

2017

J. Phys.: Conf. Ser.

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Abstract. Tortuosity is an important physical property in porous materials since it describes path length of fluid through the materials, which means how much the loss of kinetic energy.The simplest definition of tortuosity T is λ/L with λ is length of the path and L is the distance between two ends of the path. System is discretized using grid to limit number of possible paths, which could be infinity for continuous system. Porosity of the system is also constrained. Variable T is chosen as macrostates in statistical physics point of view, while all possible paths within this T are the microstates. It is found that some macrostates (more appropriately is its maximum value) have larger thermodynamics probability than the others. It should be a relation between this probability and reported tortuosity.

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“…1a). The geometric tortuosity may be obtained with the use of experimental (CT/IA techniques [3,7,24], acoustic [4][5][6], electrical [22] and others [25]), analytical [11,16,17] or computational methods Fig. 1 The visualization of the tortuosity definition: a geometric, b hydraulic (a) (b) [26,27].…”

Section: Introductionmentioning

confidence: 99%

“…In many investigations a direct correlation between tortuosity and porosity is assumed (e.g. [16][17][18][19]). It was stated that the tortuosity decreases if the porosity increases [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

The use of Path Tracking Method for determining the tortuosity field in a porous bed

Sobieski

2016

Granular Matter

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The article is related to a computational method of obtaining the geometric tortuosity in granular beds, i.e. polydisperse beds consisting of spherical or quasi-spherical particles, freely distributed in the 3D space. The main aim is to show a new way of calculating two-dimensional tortuosity distribution in the plane perpendicular to the chosen direction in the space (interpreted as the main flow direction) by the use of own computational algorithm, the so-called Path Tracking Method (PTM). This way links the ability of the PTM to analyze relatively large granular beds due to low demand for computing power and the possibility of obtaining the tortuosity distribution in the space. Although this distribution is only 2D (there is only one value for every discrete point in the plane perpendicular to the main flow direction), it may be useful for estimation of the local pressure drops in fluid flows through granular bed. To reach the aim, the PTM has been improved and its application here is shown in a new context.

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Analytical derivation of tortuosity and permeability of monosized spheres: A volume averaging approach

Cited by 128 publications

References 36 publications

Testing the suitability of metallic iron for environmental remediation: Discoloration of methylene blue in column studies

Testing the suitability of metallic iron for environmental remediation: Discoloration of methylene blue in column studies

Construction of Maximum Tortuosity of Single Fluid Path in Grid-based 2-d System (5×20) and 3-d system (5×20×3) for Certain Value of Porosity

The use of Path Tracking Method for determining the tortuosity field in a porous bed

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