Fractal analysis as a complimentary technique for characterizing nanoparticle size distributions

Kanniah, Vinod; Wu, Peng; Mandzy, Natalia; Grulke, Eric A.

doi:10.1016/j.powtec.2012.04.041

Cited by 38 publications

(18 citation statements)

References 22 publications

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“…The concept of fractal dimension has been frequently used to characterize the morphological features of agglomerates formed by fine cohesive particles (Froeschke et al, 2003;Kanniah et al, 2012). For fractal agglomerates, there is a power law between the number of primary particles within an agglomerate and its size, represented by the radius of gyration (Meakin, 1987):…”

Section: Determination Of Fractal Dimension Of Individual Agglomeratementioning

confidence: 99%

“…An important point to note is that the agglomerate models used in previous research are characterized by generally round, regular shape and compact structure, perhaps stemming from particular interest in the granulation process (Kafui and Thornton, 2000;Liu et al, 2010;Reynolds et al, 2005). However, some other applications such as mixing and fluidization of nanoparticles (Chen et al, 2008;Deng et al, 2013;Scicolone et al, 2011) and dry coating (Pfeffer et al, 2001;Yang et al, 2005) require handling and processing the agglomerates formed by dry fine particles, characterized by irregular shapes and more open structures (Froeschke et al, 2003;Kanniah et al, 2012). Therefore, the crucial missing information is the detailed understanding of how the morphological features of agglomerates impact their breakage behavior.…”

Section: Introductionmentioning

confidence: 99%

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Breakage of fractal agglomerates

Deng

Davé

2017

Chemical Engineering Science

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Section: Determination Of Fractal Dimension Of Individual Agglomeratementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Breakage of fractal agglomerates

Deng

Davé

2017

Chemical Engineering Science

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“…Fractal dimension of particle size distribution was used to characterize the surface roughness of solid particles of all the constituents. The results indicated [27] that self-similarity (fractal structure) was shown in the particle size distribution. The fractal dimension is the quantitative parameter used to describe fractal characteristics because it is related to the property parameters of materials [28].…”

Section: Fractal Dimension Of Particle Size Distributionmentioning

confidence: 84%

Comparative Study on the Macroscopic and Microscopic Properties of UHPC Mixed with Limestone Powder and Slag Powder

Meng-hui

Chen

et al. 2021

Geofluids

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This paper explores the development laws of the fluidity, compressive strength, and autogenous shrinkage of ultrahigh performance cement (UHPC) mixed with limestone powder (LP) and highly active ground slag powder (SP). A microscopic analysis was conducted on the hydration products and pore structures. Through quantitative research on the packing density and fractal dimension of particles in different systems, the relationship between particle characteristics and UHPC properties was established. As a result, the packing densities of the UHPC mixed solely with LP (binary system) and UHPC mixed with LP and silica fume (ternary system) are higher than those of UHPC mixed with the same amount of SP and the benchmark UHPC system; fractal dimension of particle size distribution is closely related to packing density. The LP-cement-silica fume ternary system was lowly hydrated, but it has a good grain composition and high density of slurry, which improved the compressive strength of UHPC. The compressive strength of UHPC mixed with 50% LP witnessed a more obvious decline than that of the ternary system and the one with the same amount of SP. The reason lies in the decrease in slurry due to a lack of sufficient active constituents, and the hydration products were far from enough to fill the pores in the system. LP can also inhibit autogenous shrinkage to the greatest degree for the LP-mixed binary system performed best in such inhibition.

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“…The validities of these two approaches were also reported in previous studies. [ 19,25,28 ] The 2D fractal dimension

D_{f}^{2 D}

obtained by image analysis cannot be directly used as a parameter for the 3D structures but should be converted to the value in the 3D model

D_{f}^{3 D}

. Here, this is performed using an empirical correlation of Equation ) derived by Lee and Kramer [ 26 ] :

D_{f}^{3 D} = - 1.628 D_{f}^{2 D} + 4.6

…”

Section: Resultsmentioning

confidence: 99%

Experimental investigation on the microstructure of fluidized nanoparticle agglomerates by TEM image analysis

Liu

Yang

2020

Can J Chem Eng

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In this paper, the hierarchical solid structures and multiscale pore structures inside fluidized nanoparticle agglomerates (FNPAs) are qualitatively revealed in the transmission electron microscope (TEM) images of ultrathin slices of solidified FNPAs from the bottom of the bed. The micromorphology of aggregates and simple agglomerates, the porosities of pores intra and inter simple agglomerates, and pore size distributions inside FNPAs are quantitatively analyzed by image analysis. The average fractal dimensions of aggregates of about 300 nm‐1000 nm and simple agglomerates of several micrometres are around 1.9 and 2.6 respectively. The pore structure of FNPAs is complex and heterogeneous and displays a multiscale feature. Nearly 50% of the pores intra simple agglomerates have sizes of tens of nanometers and more than half the pores between simple agglomerates are of micrometre scale. The porosities of the pores intra and inter simple agglomerates are about 0.82 and 0.85 respectively.

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Fractal analysis as a complimentary technique for characterizing nanoparticle size distributions

Cited by 38 publications

References 22 publications

Breakage of fractal agglomerates

Breakage of fractal agglomerates

Comparative Study on the Macroscopic and Microscopic Properties of UHPC Mixed with Limestone Powder and Slag Powder

Experimental investigation on the microstructure of fluidized nanoparticle agglomerates by TEM image analysis

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