Impact of Three-Dimensional Sphericity and Roundness on Coordination Number

Fei, Wenbin; Narsilio, Guillermo A.

doi:10.1061/(asce)gt.1943-5606.0002389

Cited by 29 publications

(15 citation statements)

References 25 publications

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“…Sphericity refers to the grade of similarity between a particle and a sphere considering their length, height, and width; those particles with a shape closer to a sphere generate ordered arrangements with better distribution, reducing packing defects (wall and loosening effects) and, as a consequence, increasing packing density. This is shown in works like the ones by Pu et al [20] and Fei et al [21].…”

Section: Methodssupporting

confidence: 57%

“…In contrast, highly angular particles tend to favor packing defects but have better connectivity since they have more contact points between them. Particle smoothness describes its surface texture, and this structural characteristic behaves in a similar way to roundness, since smooth surface particles have better mobility because there is low friction between them, achieving better packing densities in comparison with rough surface particles [19,21].…”

Section: Methodsmentioning

confidence: 99%

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Use of the fractal dimension for porosity modification in aluminum foams manufactured using space holder particles

Reyes

Béjar

Perez

et al. 2021

Theor appl mech (Belgr)

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The effect of space holder particles (SHP) fractal distribution on the porosity of aluminum foams manufactured by infiltration is studied in the present work. Physical models were used to estimate aluminum foam porosity, simulating SHP distribution for bimodal mixtures with different particle sizes and relative quantities. Results of these models were compared with mathematical models and the results obtained for experimental aluminum foams manufactured using a 332 Al-alloy base material and NaCl grains as SHP. Experimental foam structural characterization was carried out using image analysis to obtain porosity, density, wall thickness and fractal dimension, while mechanical characterization focused on the compressive Young modulus. Results show that it was possible to manufacture foams with different fractal porosities and a wide variety of unit cells, reaching a maximum of ? 68%. It was also found that pore wall thicknesses significantly decreased with the increase in the fine particles fraction. Besides, all the models presented a peak with a maximum porosity, whose values increased and shifted to low fine particles fraction with the increase in the sizes ratio. This behavior was also observed for the experimental foams with low particle size ratio. Nevertheless, for higher size ratios porosity showed an irregular behavior attributed to the mixing process.

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Section: Methodssupporting

confidence: 57%

Section: Methodsmentioning

confidence: 99%

Use of the fractal dimension for porosity modification in aluminum foams manufactured using space holder particles

Reyes

Béjar

Perez

et al. 2021

Theor appl mech (Belgr)

View full text Add to dashboard Cite

show abstract

“…Since liquid in non‐saturated granular material can exist in the form of both liquid bridges between grains and thin films on grain surface (Fournier et al., 2005; Scheel et al., 2008a; Tuller & Or, 2005; Wang et al., 2016), it is likely that populations in the vicinities of T 2 ≈ 100 ms and T 2 ≈ 2 ms correspond to the liquid bridges and thin films, respectively. To test this hypothesis, for given initial volumetric water content, assuming liquid bridges contribute to the majority of liquid volume, we can estimate the average volume of liquid bridge in monodisperse spheres assuming a coordination number N ≈ 6 (Liu et al., 1999; Fei & Narsilio, 2020). Then, using the relation (Weigert & Ripperger, 1999):

V = 0.12 d_{p}^{3} \sin^{4} (β) C_{a} C_{θ},

…”

Section: Resultsmentioning

confidence: 99%

Towards the End of Drying of Granular Materials: Enhanced Evaporation and Drying‐Induced Collapse

Wang

Maillet

Pereira

et al. 2021

Water Resources Research

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Drying of porous media is essential in relation with many applications, such as drugs and cosmetics synthesis in the pharmaceutical industry, thermally enhanced oil recovery, and drying of textiles, grains, and food. Particularly, soil drying is of great environmental importance, as it controls the water, energy and solutes transfer between the atmosphere and subsurface. The basic mechanisms of drying of saturated porous media have been identified as two distinguishable stages (

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“…The general steps in using a watershed algorithm are shown in Figure 1 (for a more detailed description of how a watershed algorithm operates we refer the reader to Kong & Fonseca (2018) and Sun et al (2019)). We chose to follow the workflow of watershed segmentation of grains described by Fei & Narsilio (2020) which is shown to be successful in separating grains in a variety of different sand samples which bare some resemblance to the materials investigated here.…”

Section: Grain Segmentationmentioning

confidence: 99%

The Influence of Grain Shape and Size on the Relationship Between Porosity and Permeability in Sandstone

Payton,

Chiarella,

Kingdon

2021

Preprint

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An accurate and reliable description of the relationship between porosity and permeability in geological materials is valuable in understanding subsurface fluid movement. This is of great importance for studies of reservoir characterisation, useful for energy exploitation, carbon capture, use and storage (CCUS) and groundwater contamination and remediation. Whilst the relationship between pore characteristics and porosity and permeability are well examined, there is scope for further investigation into the influence of grain characteristics on porosity and permeability due to the inherent relationship between grains and related pores. In this work we use digital image analysis (DIA) of reconstructed 3D X-ray micro computed tomographic (μCT) images to measure porosity, permeability and segment individual grains enabling the measurement of grain shape (sphericity) and size (Feret diameter). We compare two marker-based watershed workflows to grain boundary segmentation before applying the most reliable one to our images. We found there to be a positive relationship between grain sphericity and porosity according to ϕ=1.22ϕs-0.42 whereas no such relationship exists with grain size. We applied our grain shape and size measurements to calculate a Kozeny-Carman (K-C) porosity-permeability fit which was found to be unsatisfactory, possibly due to significant deviation from the K-C assumption that grains are spherical. Therefore, we show that a simpler fit of the form K= 10^5.54 ϕ^3.7, excluding any influence of grain characteristics, is most suitable for the studied materials and that grain shape and size is not influential on the porosity-permeability relationship in a K-C paradigm.

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Impact of Three-Dimensional Sphericity and Roundness on Coordination Number

Cited by 29 publications

References 25 publications

Use of the fractal dimension for porosity modification in aluminum foams manufactured using space holder particles

Use of the fractal dimension for porosity modification in aluminum foams manufactured using space holder particles

Towards the End of Drying of Granular Materials: Enhanced Evaporation and Drying‐Induced Collapse

The Influence of Grain Shape and Size on the Relationship Between Porosity and Permeability in Sandstone

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