Self similar size distributions in particle coarsening

1993 ◽  
Vol 28 (12) ◽  
pp. 1471-1476 ◽  
Author(s):  
S.D. Coughlan ◽  
M.A. Fortes
Keyword(s):  
Size Distributions ◽  
Particle Coarsening ◽  
Self Similar

scholarly journals COMPUTER SIMULATION OF RANDOM PACKINGS FOR SELF-SIMILAR PARTICLE SIZE DISTRIBUTIONS IN SOIL AND GRANULAR MATERIALS: POROSITY AND PORE SIZE DISTRIBUTION

Fractals ◽  
2014 ◽  
Vol 22 (03) ◽  
pp. 1440009 ◽  
Author(s):  
MIGUEL ANGEL MARTÍN ◽  
FRANCISCO J. MUÑOZ ◽  
MIGUEL REYES ◽  
F. JAVIER TAGUAS
Keyword(s):  
Computer Simulation ◽  
Particle Size ◽  
Pore Size Distribution ◽  
Pore Size ◽  
Size Distribution ◽  
Total Porosity ◽  
Size Distributions ◽  
Particle Size Distributions ◽  
Self Similar ◽  
Random Packings

A 2D computer simulation method of random packings is applied to sets of particles generated by a self-similar uniparametric model for particle size distributions (PSDs) in granular media. The parameter p which controls the model is the proportion of mass of particles corresponding to the left half of the normalized size interval [0,1]. First the influence on the total porosity of the parameter p is analyzed and interpreted. It is shown that such parameter, and the fractal exponent of the associated power scaling, are efficient packing parameters, but this last one is not in the way predicted in a former published work addressing an analogous research in artificial granular materials. The total porosity reaches the minimum value for p = 0.6. Limited information on the pore size distribution is obtained from the packing simulations and by means of morphological analysis methods. Results show that the range of pore sizes increases for decreasing values of p showing also different shape in the volume pore size distribution. Further research including simulations with a greater number of particles and image resolution are required to obtain finer results on the hierarchical structure of pore space.

Self-similar drop-size distributions produced by breakup in chaotic flows

1991 ◽  
Vol 67 (1) ◽  
pp. 54-57 ◽  
Author(s):  
F. J. Muzzio ◽  
M. Tjahjadi ◽  
J. M. Ottino
Keyword(s):  
Drop Size ◽  
Size Distributions ◽  
Chaotic Flows ◽  
Self Similar ◽  
Drop Size Distributions

Grain Size Distributions and Evolution Equations in Nanocrystalline Grain Growth

2012 ◽  
Vol 715-716 ◽  
pp. 806-811 ◽  
Author(s):  
Peter Streitenberger ◽  
Dana Zöllner
Keyword(s):  
Grain Size ◽  
Grain Growth ◽  
Size Effects ◽  
Evolution Equations ◽  
Dissipative Process ◽  
Size Distributions ◽  
Model Simulations ◽  
Free Interface ◽  
Grain Size Distributions ◽  
Self Similar

Size effects observed in nanocrystalline grain growth are modeled by attributing each type of grain boundary junction an own specific energy and finite mobility. By considering grain growth as a dissipative process that is driven by the reduction of the Gibbs free interface and junction energy a general grain evolution equation is derived that separates into nine types of possible growth kinetics. The corresponding self-similar grain size distributions are derived and compared with results from modified Monte Carlo Potts model simulations taking into account size effects in triple and quadruple junction limited grain growth.

AN INTRODUCTION TO FLOW AND TRANSPORT IN FRACTAL MODELS OF POROUS MEDIA: PART I

Fractals ◽  
2014 ◽  
Vol 22 (03) ◽  
pp. 1402001 ◽  
Author(s):  
JIANCHAO CAI ◽  
FERNANDO SAN JOSÉ MARTÍNEZ ◽  
MIGUEL ANGEL MARTÍN ◽  
EDMUND PERFECT
Keyword(s):  
Porous Media ◽  
Surface Erosion ◽  
Size Distributions ◽  
Particle Size Distributions ◽  
Fractal Structures ◽  
Flow And Transport ◽  
Fractal Models ◽  
Statics And Dynamics ◽  
Self Similar ◽  
Erosion Properties

This special issue gathers together a number of recent papers on fractal geometry and its applications to the modeling of flow and transport in porous media. The aim is to provide a systematic approach for analyzing the statics and dynamics of fluids in fractal porous media by means of theory, modeling and experimentation. The topics covered include lacunarity analyses of multifractal and natural grayscale patterns, random packing's of self-similar pore/particle size distributions, Darcian and non-Darcian hydraulic flows, diffusion within fractals, models for the permeability and thermal conductivity of fractal porous media and hydrophobicity and surface erosion properties of fractal structures.

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