Filling of irregular channels with round cross-section: Modeling aspects to study the properties of porous materials
Por:
Ungson Y., Burtseva L., Garcia-Curiel E.R., Salas B.V., Flores-Rios B.L., Werner F., Petranovskii V.
Publicada:
1 oct 2018
Categoría:
Materials science (miscellaneous)
Resumen:
The filling of channels in porous media with particles of a material can be interpreted in a first approximation as a packing of spheres in cylindrical recipients. Numerous studies on microand nanoscopic scales show that they are, as a rule, not ideal cylinders. In this paper, the channels, which have an irregular shape and a circular cross-section, as well as the packing algorithms are investigated. Five patterns of channel shapes are detected to represent any irregular porous structures. A novel heuristic packing algorithm for monosized spheres and different irregularities is proposed. It begins with an initial configuration based on an fcc unit cell and the subsequent densification of the obtained structure by shaking and gravity procedures. A verification of the algorithm was carried out for nine sinusoidal axisymmetric channels with different Dmin/Dmax ratio by MATLAB® simulations, reaching a packing fraction of at least 0.67 (for sphere diameters of 5%Dmin or less), superior to a random close packing density. The maximum packing fraction was 73.01% for a channel with a ratio of Dmin/Dmax = 0.1 and a sphere size of 5%Dmin. For sphere diameters of 50%Dmin or larger, it was possible to increase the packing factor after applying shaking and gravity movements. © 2018 by the authors.
Filiaciones:
Ungson Y.:
Instituto de Ingeniería, Universidad Autónoma de Baja California, Calle de la Normal S/N, Col. Insurgentes Este, Mexicali, 21270, Mexico
Burtseva L.:
Instituto de Ingeniería, Universidad Autónoma de Baja California, Calle de la Normal S/N, Col. Insurgentes Este, Mexicali, 21270, Mexico
Garcia-Curiel E.R.:
Instituto de Ingeniería, Universidad Autónoma de Baja California, Calle de la Normal S/N, Col. Insurgentes Este, Mexicali, 21270, Mexico
Salas B.V.:
Instituto de Ingeniería, Universidad Autónoma de Baja California, Calle de la Normal S/N, Col. Insurgentes Este, Mexicali, 21270, Mexico
Flores-Rios B.L.:
Instituto de Ingeniería, Universidad Autónoma de Baja California, Calle de la Normal S/N, Col. Insurgentes Este, Mexicali, 21270, Mexico
Werner F.:
Institut für Mathematische Optimierung, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, Magdeburg, 39106, Germany
Petranovskii V.:
Centro de Nanociencias y Nanotecnología, Universidad Nacional Autónoma de México, Carretera Tijuana-Ensenada km107, Playitas, Ensenada, 22860, Mexico
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