|
|
Parametric design of bimodal porosity structure based on Voronoi polygons and fractals |
ZHANG Yu, LIU Rutie, CHEN Jie, XIONG Xiang, LI Hao, WANG Zhubo |
State Key Laboratory of Powder Metallurgy, Central South University, Changsha 410083, China |
|
|
Abstract This research proposed a bimodal porosity structure type providing the ability to individually form evenly distributed pores of two separated sizes. A method of generating structures parametrically was provided, and a process-oriented program was developed outputting diagrams and coordinates. Iterations of tessellation module, causing geometrical self-resemblance, were further discussed from porosity, fractal dimension, lacunarity and specific surface area aspects. Technical routes were introduced for building 3D model files of large complexity in common industrial software’s object-oriented application programming interface and applications in permeability or electrochemistry simulations.
|
Received: 23 March 2022
Published: 19 July 2022
|
|
|
|
|
[1] FOROOZESH J, KUMAR S.Nanoparticles behaviors in porous media: application to enhanced oil recovery[J]. Journal of Molecular Liquids, 2020: 113876. [2] DIAO K K, ZHAO Y Y.Heat transfer performance of sintered Cu microchannelsproduced by a novel method[J]. International Journal of Heat and Mass Transfer, 2019, 139: 537-547. [3] EGOROV V, O'DWYER C. Architected porous metals in electrochemical energy storage[J]. Current Opinion in Electrochemistry, 2020, 21: 201-208. [4] WOOD S, HARRIS A T.Porous burners for lean-burn applications[J]. Progress in Energy & Combustion Science, 2008, 34(5): 667-684. [5] NIE Z W, LIN Y Y, TONG Q B, et al.Numerical investigation of pressure drop and heat transfer through open cell foams with 3D Laguerre-Voronoi model[J]. International Journal of Heat & Mass Transfer, 2017, 42(2): 969-974. [6] LOTFI N, FARAHANI T S, YAGHOUBINEZHAD Y, et al.Simulation and characterization of hydrogen evolution reaction on porous NiCu electrode using surface response methodology[J]. International Journal of Hydrogen Energy, 2019, 44(26): 13296-13309 [7] LIU R T, CHEN J, XIONG X.Influence of porogen type and copper powder morphology on property of sintering copper porous materials[J]. Journal of Central South University, 2018, 25(9): 2143-2149. [8] TANGGARNJANAVALUKUL C, DONPHAI W, WITOON T, et al.Deactivation of nickel catalysts in methane cracking reaction: effect of bimodal meso-macropore structure of silica support[J]. Chemical Engineering Journal, 2015, 262:364-371. [9] FU X W, LIU J J, DING C F, et al.Building bimodal Structures by a wettability difference-driven strategy for high- performance protein air-filters[J]. Journal of Hazardous Materials, 2021, 415(42): 125742. [10] LI H, LIU R T, CHEN J, et al.Preparation of nickel porous materials by sintering nickel oxalate and sodium chloride after blending and reduction[J]. Journal of Materials Research and Technology, 2020, 9(3): 3149-3157. [11] WANG Z B, CHEN J, LIU R T, et al.Preparation of an ultrafine nickel powder by solid-phase reduction with a NaCl separator agent[J]. Advanced Powder Technology, 2020, 31(8): 3433-3439. [12] AL-KHARUSI A S, BLUNT M J. Network extraction from sandstone and carbonate pore space images[J]. Journal of Petroleum Science and Engineering, 2007, 56(4):219-231. [13] SURI S.Handbooks in Operations Research and Management Science[M]. Amsterdam: IGI Global, 1995: 425-479. [14] MEBATSION H K, VERBOVEN P, VERLINDEN B E, et al.Microscale modeling of fruit tissue using Voronoi tessellations[J]. Computers and Electronics in Agriculture, 2006, 52(1/2):36-48. [15] HAN N, GUO R.Two new Voronoi cell finite element models for fracture simulation in porous material under inner pressure[J]. Engineering Fracture Mechanics, 2019,211:478-494. [16] GATSONIS N A, SPIRKIN A.A three-dimensional electrostatic particle-in-cell methodology on unstructured Delaunay-Voronoi grids[J]. Journal of Computational Physics, 2009, 228(10): 3742-3761. [17] MISTANI P, GUITTET A, POIGNARD C, et al.A parallel Voronoi-based approach for mesoscale simulations of cell aggregate electropermeabilization[J]. Journal of Computational Physics, 2019, 380: 48-64. [18] SHIRRIFF K.Generating fractals from Voronoi diagrams[J]. Computers & Graphics, 1993, 17(2):165-167. [19] XIAO F, YIN X L.Geometry models of porous media based on Voronoi tessellations and their porosity-permeability relations[J]. Computers & Mathematics with Applications, 2016, 72(2): 328-348. [20] CAO B W, WANG S L, WEI D, et al.Investigation of the filtration performance for fibrous media: coupling of a semi-analytical model with CFD on Voronoi-based microstructure-Science Direct[J]. Separation and Purification Technology, 2020, 251:117364. [21] WEJRZANOWSKI T, SKIBINSKI J, SZUMBARSKI J, et al.Structure of foams modeled by Laguerre-Voronoi tessellations[J]. Computational Materials Science, 2013, 67: 216-221. [22] NIE Z W, LIN Y Y, TONG Q B.Modeling structures of open cell foams[J]. Computational Materials Science, 2017, 131: 160-169. [23] KHALA M J, HARE C, WU C Y, et al.Density and size-induced mixing and segregation in the FT4 powder rheometer: an experimental and numerical investigation[J]. Powder Technology, 2021, 390: 126-142. [24] LIU W, TANG G H, SHI Y.Apparent permeability study of rarefied gas transport properties through ultra-tight Voronoi porous media by discrete velocity method[J]. Journal of Natural Gas Science and Engineering, 2020, 74: 103100. [25] LEI H Y, LI J R, XU Z J, et al.Parametric design of Voronoi-based lattice porous structures[J]. Materials & Design, 2020, 191:108607. [26] UHLMANN M.Vorono tessellation analysis of sets of randomly placed finite-size spheres[J]. Physica A: Statistical Mechanics and its Applications, 2020, 555: 124618. [27] HENDERSON N, BRÊTTASJC, SACCO W F. A three- parameter Kozeny-Carman generalized equation for fractal porous media[J]. Chemical Engineering Science, 2010, 65(15): 4432-4442. [28] WEI W, CAI J C, XIAO J F, et al.Kozeny-Carman constant of porous media: insights from fractal-capillary imbibition theory[J]. Fuel, 2018, 234: 1373-1379. [29] PINTO E P, PIRES M A, MATOS R S, et al.Lacunarity exponent and Moran index: acomplementary methodology to analyze AFM images and its application to chitosan films[J]. Physica A: Statistical Mechanics and its Applications, 2021, 581: 126192. [30] XIA Y X, WEI W, LIU Y, et al.A fractal-based approach to evaluate the effect of microstructure on the permeability of two-dimensional porous media[J]. Applied Geochemistry, 2021, 131: 105013. |
|
|
|