A Fractal Description of Finely Ground Particles of Natural Quartz Using Particle Size and Image Analyses
The morphological characteristics of mineral particles in ultrafine range have a significant influence on engineering processes but have not been extensively explored until now. In this study, the morphology of fine quartz particles produced in a planetary ball mill is considered using fractal geome...
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| Published in | JOM (1989) Vol. 75; no. 4; pp. 1333 - 1344 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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New York
Springer US
01.04.2023
Springer Nature B.V |
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| Abstract | The morphological characteristics of mineral particles in ultrafine range have a significant influence on engineering processes but have not been extensively explored until now. In this study, the morphology of fine quartz particles produced in a planetary ball mill is considered using fractal geometry and stereometric tools in connection with particle size analysis. Structure functions and bidimensional shape factors were derived from numerical analysis of scanning electron micrographs using surface height functions and watershed algorithms. Secondary electron images were obtained from aliquots of clear and milky quartz samples ground up to 32 h. The fragmentation fractal dimension derived from the uniformity index of particle size distributions showed a distinct non-monotonical increase with the elapsed grinding time for each sample. Overall variations in fractal parameters (fractal dimension and corner frequency) and Feret’s diameter showed that the slowdown in particle size reduction and the onset of interparticle agglomeration occurred earlier for clear (monocrystalline) than for milky (polycrystalline) quartz. The onset of round-like agglomerates was also noticed with circular and round patterns. The loss of energy efficiency due to prolonged grinding processes was characterized by the decrease observed in the morphological fractal dimension. |
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| AbstractList | The morphological characteristics of mineral particles in ultrafine range have a significant influence on engineering processes but have not been extensively explored until now. In this study, the morphology of fine quartz particles produced in a planetary ball mill is considered using fractal geometry and stereometric tools in connection with particle size analysis. Structure functions and bidimensional shape factors were derived from numerical analysis of scanning electron micrographs using surface height functions and watershed algorithms. Secondary electron images were obtained from aliquots of clear and milky quartz samples ground up to 32 h. The fragmentation fractal dimension derived from the uniformity index of particle size distributions showed a distinct non-monotonical increase with the elapsed grinding time for each sample. Overall variations in fractal parameters (fractal dimension and corner frequency) and Feret’s diameter showed that the slowdown in particle size reduction and the onset of interparticle agglomeration occurred earlier for clear (monocrystalline) than for milky (polycrystalline) quartz. The onset of round-like agglomerates was also noticed with circular and round patterns. The loss of energy efficiency due to prolonged grinding processes was characterized by the decrease observed in the morphological fractal dimension. The morphological characteristics of mineral particles in ultrafine range have a significant influence on engineering processes but have not been extensively explored until now. In this study, the morphology of fine quartz particles produced in a planetary ball mill is considered using fractal geometry and stereometric tools in connection with particle size analysis. Structure functions and bidimensional shape factors were derived from numerical analysis of scanning electron micrographs using surface height functions and watershed algorithms. Secondary electron images were obtained from aliquots of clear and milky quartz samples ground up to 32 h. The fragmentation fractal dimension derived from the uniformity index of particle size distributions showed a distinct non-monotonical increase with the elapsed grinding time for each sample. Overall variations in fractal parameters (fractal dimension and corner frequency) and Feret's diameter showed that the slowdown in particle size reduction and the onset of interparticle agglomeration occurred earlier for clear (monocrystalline) than for milky (polycrystalline) quartz. The onset of round-like agglomerates was also noticed with circular and round patterns. The loss of energy efficiency due to prolonged grinding processes was characterized by the decrease observed in the morphological fractal dimension. |
| Author | Guzzo, Pedro L. Kulesza, Slawomir Ţălu, Ştefan Bramowicz, Miroslaw |
| Author_xml | – sequence: 1 givenname: Pedro L. surname: Guzzo fullname: Guzzo, Pedro L. organization: Department of Mining Engineering, Federal University of Pernambuco – sequence: 2 givenname: Ştefan orcidid: 0000-0003-1311-7657 surname: Ţălu fullname: Ţălu, Ştefan email: stefan_ta@yahoo.com organization: The Directorate of Research, Development and Innovation Management (DMCDI), Technical University of Cluj-Napoca – sequence: 3 givenname: Slawomir surname: Kulesza fullname: Kulesza, Slawomir organization: Faculty of Technical Sciences, University of Warmia and Mazury in Olsztyn – sequence: 4 givenname: Miroslaw surname: Bramowicz fullname: Bramowicz, Miroslaw organization: Faculty of Technical Sciences, University of Warmia and Mazury in Olsztyn |
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| CitedBy_id | crossref_primary_10_3390_atmos15010095 crossref_primary_10_1007_s12666_023_03037_6 crossref_primary_10_3390_fractalfract7090669 |
| Cites_doi | 10.1016/S0032-5910(97)03257-9 10.1029/JB091iB02p01921 10.1016/j.powtec.2020.04.052 10.1016/j.powtec.2009.05.007 10.1016/0301-7516(95)00028-3 10.1016/j.powtec.2018.09.064 10.2475/ajs.276.9.1120 10.1016/j.geomorph.2013.12.016 10.1016/S0301-7516(02)00039-X 10.1016/j.ces.2004.07.020 10.1007/978-3-642-22161-3 10.1016/j.powtec.2016.03.030 10.1021/acs.iecr.5b02449 10.1007/s006030050026 10.1016/j.powtec.2017.10.011 10.1016/j.powtec.2011.03.021 10.1680/geng.2009.162.4.193 10.1016/0032-5910(77)85037-7 10.1016/j.minpro.2010.02.007 10.1016/j.mineng.2015.03.021 10.1016/S0301-7516(99)00029-0 10.1016/j.mineng.2004.06.009 10.1016/j.cep.2004.02.018 10.1016/j.apt.2017.11.029 10.1016/j.mineng.2011.05.006 10.1016/S0892-6875(96)00148-3 10.1002/ppsc.19920090102 10.1016/S0032-5910(99)00140-0 10.1016/0148-9062(93)91728-2 10.1016/0892-6875(96)00063-5 10.1016/j.conbuildmat.2007.11.014 |
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| Copyright | The Minerals, Metals & Materials Society 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Copyright Springer Nature B.V. Apr 2023 |
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| References | PodczeckFPowder Technol.1997934710.1016/S0032-5910(97)03257-9 TurcotteDLJ. Geophys. Res.198691192110.1029/JB091iB02p01921 YildirimKChoHAustinLGPowder Technol.199910521010.1016/S0032-5910(99)00140-0 AbbireddyCORClaytonCRIProc. Inst. Civil Eng. Geotech. Eng.200916219310.1680/geng.2009.162.4.193 GuzzoPLde BarrosFBMTinoAAAPowder Technol.201934214110.1016/j.powtec.2018.09.064 LiuSLiQXieGLiLXiaoHPowder Technol.201629513310.1016/j.powtec.2016.03.030 GötzeJGötzeJMöckelRQuartz: Deposits, Mineralogy and Analytics2012Berlin HeidelbergSpringer12810.1007/978-3-642-22161-3 LittleLBeckerMWieseJMainzaANMiner. Eng.2015829210.1016/j.mineng.2015.03.021 GuzzoPLLuzABLinsFFRochas & Minerais Industriais: Usos e Aplicações20082Rio de JaneiroCETEM681721in Portuguese PeukertWSchwarzerHCStengerFChem. Eng. Process.20054424510.1016/j.cep.2004.02.018 MioHKanoJSaitoFChem. Eng. Sci.200459590910.1016/j.ces.2004.07.020 ShrivastavaASakthivelSPitchumaniBRathoreASPowder Technol.20112114610.1016/j.powtec.2011.03.021 ŢăluŞMicro and Nanoscale Characterization of Three Dimensional Surfaces. Basics and Applications2015Cluj-NapocaNapoca Star Publishing House AhmedMMInt. J. Miner. Process.20109418010.1016/j.minpro.2010.02.007 MeloyTPWilliamsMCChallenges in Mineral Processing1994New YorkSMI207221 TavaresLMSalmanADGhadiniMHounslowMJHandbook of Powder Technology2007AmsterdamElsevier368 ThomasAThomasTRJ. Wave Mater. Interact.19883341 SadraiSMeechJATromansDSassaniFMiner. Eng.201124105310.1016/j.mineng.2011.05.006 NagahamaHInt. J. Rock Mech.19933046910.1016/0148-9062(93)91728-2 ThomasAFilippovLOInt. J. Miner. Process.19995728510.1016/S0301-7516(99)00029-0 YueJKleinBMiner. Eng.20051832510.1016/j.mineng.2004.06.009 GuzzoPLMarinho de BarrosFBSoaresBRSantosJBPowder Technol.202036814910.1016/j.powtec.2020.04.052 BoldyrevVVPavlovSYGoldbergELInt. J. Miner. Process.199644–4518110.1016/0301-7516(95)00028-3 BrownGJMiner. Eng.19971022910.1016/S0892-6875(96)00148-3 BrownGJMilesNJJonesTFMiner. Eng.1996971510.1016/0892-6875(96)00063-5 ŢăluŞBramowiczMKuleszaSShafiekhaniAGhaderiAMashayekhiFSolaymaniSInd. Eng. Chem. Res.201554821210.1021/acs.iecr.5b02449 PrziwaraPBreitung-FaesSKwadeAAdv. Powder Technol.20182941610.1016/j.apt.2017.11.029 EberhardtEStimpsonBSteadDRock Mech. Rock Eng.1999328110.1007/s006030050026 ZhangQKanoJSaitoFSalmanADGhadiniMHounslowMJHandbook of Powder Technology2007AmsterdamElsevier509528 XuYPowder Technol.201832333710.1016/j.powtec.2017.10.011 YilmazNGKaracaZGoktanRMAkalCConstr. Build. Mater.20092337010.1016/j.conbuildmat.2007.11.014 OpoczkyLPowder Technol.197717110.1016/0032-5910(77)85037-7 KniekeCSommerMPeukertWPowder Technol.20091952510.1016/j.powtec.2009.05.007 FuerstenauDWAbouzeidA-ZMInt. J. Miner. Process.20026716110.1016/S0301-7516(02)00039-X KayeBHClarkGGLiuYPart. Part. Syst. Charact.19929110.1002/ppsc.19920090102 MurataKJNormannMBIIAm. J. Sci.1976276112010.2475/ajs.276.9.1120 LangroudiAAJeffersonIO’hara-DhandKSmalleyIGeomorphology2014211110.1016/j.geomorph.2013.12.016 Y Xu (5687_CR15) 2018; 323 L Little (5687_CR18) 2015; 82 H Mio (5687_CR34) 2004; 59 H Nagahama (5687_CR17) 1993; 30 E Eberhardt (5687_CR30) 1999; 32 GJ Brown (5687_CR33) 1997; 10 PL Guzzo (5687_CR7) 2019; 342 Ş Ţălu (5687_CR37) 2015; 54 J Götze (5687_CR20) 2012 GJ Brown (5687_CR16) 1996; 9 PL Guzzo (5687_CR19) 2008 COR Abbireddy (5687_CR36) 2009; 162 P Prziwara (5687_CR4) 2018; 29 L Opoczky (5687_CR2) 1977; 17 W Peukert (5687_CR1) 2005; 44 A Thomas (5687_CR13) 1999; 57 A Thomas (5687_CR29) 1988; 3 S Sadrai (5687_CR32) 2011; 24 DL Turcotte (5687_CR11) 1986; 91 BH Kaye (5687_CR12) 1992; 9 DW Fuerstenau (5687_CR22) 2002; 67 NG Yilmaz (5687_CR31) 2009; 23 K Yildirim (5687_CR21) 1999; 105 C Knieke (5687_CR3) 2009; 195 KJ Murata (5687_CR24) 1976; 276 S Liu (5687_CR35) 2016; 295 Q Zhang (5687_CR6) 2007 VV Boldyrev (5687_CR5) 1996; 44–45 TP Meloy (5687_CR8) 1994 J Yue (5687_CR26) 2005; 18 LM Tavares (5687_CR23) 2007 PL Guzzo (5687_CR25) 2020; 368 Ş Ţălu (5687_CR28) 2015 AA Langroudi (5687_CR14) 2014; 211 F Podczeck (5687_CR9) 1997; 93 A Shrivastava (5687_CR27) 2011; 211 MM Ahmed (5687_CR10) 2010; 94 |
| References_xml | – reference: ThomasAFilippovLOInt. J. Miner. Process.19995728510.1016/S0301-7516(99)00029-0 – reference: BrownGJMilesNJJonesTFMiner. Eng.1996971510.1016/0892-6875(96)00063-5 – reference: TavaresLMSalmanADGhadiniMHounslowMJHandbook of Powder Technology2007AmsterdamElsevier368 – reference: GuzzoPLLuzABLinsFFRochas & Minerais Industriais: Usos e Aplicações20082Rio de JaneiroCETEM681721in Portuguese – reference: LittleLBeckerMWieseJMainzaANMiner. Eng.2015829210.1016/j.mineng.2015.03.021 – reference: BoldyrevVVPavlovSYGoldbergELInt. J. Miner. Process.199644–4518110.1016/0301-7516(95)00028-3 – reference: LiuSLiQXieGLiLXiaoHPowder Technol.201629513310.1016/j.powtec.2016.03.030 – reference: GötzeJGötzeJMöckelRQuartz: Deposits, Mineralogy and Analytics2012Berlin HeidelbergSpringer12810.1007/978-3-642-22161-3 – reference: ŢăluŞBramowiczMKuleszaSShafiekhaniAGhaderiAMashayekhiFSolaymaniSInd. Eng. Chem. Res.201554821210.1021/acs.iecr.5b02449 – reference: PodczeckFPowder Technol.1997934710.1016/S0032-5910(97)03257-9 – reference: KayeBHClarkGGLiuYPart. Part. Syst. Charact.19929110.1002/ppsc.19920090102 – reference: BrownGJMiner. Eng.19971022910.1016/S0892-6875(96)00148-3 – reference: MioHKanoJSaitoFChem. Eng. Sci.200459590910.1016/j.ces.2004.07.020 – reference: NagahamaHInt. J. Rock Mech.19933046910.1016/0148-9062(93)91728-2 – reference: GuzzoPLMarinho de BarrosFBSoaresBRSantosJBPowder Technol.202036814910.1016/j.powtec.2020.04.052 – reference: SadraiSMeechJATromansDSassaniFMiner. Eng.201124105310.1016/j.mineng.2011.05.006 – reference: MeloyTPWilliamsMCChallenges in Mineral Processing1994New YorkSMI207221 – reference: ŢăluŞMicro and Nanoscale Characterization of Three Dimensional Surfaces. Basics and Applications2015Cluj-NapocaNapoca Star Publishing House – reference: ThomasAThomasTRJ. Wave Mater. 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| Title | A Fractal Description of Finely Ground Particles of Natural Quartz Using Particle Size and Image Analyses |
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