Fractal Characteristics of Porosity of Electrospun Nanofiber Membranes
In this paper, the method of measuring the porosity of electrostatic nanofiber membrane by VC++ and Matlab is introduced. It is found that the ratio of the calculated porosity to the porosity measured by the mercury intrusion method accords with the famous Feigenbaum constant (α=2.5029078750957⋯). T...
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| Veröffentlicht in: | Mathematical problems in engineering 2020, Vol.2020 (2020), p.1-8 |
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| creator | Pan, Tiandi Shi, Luo Yi Liu, Yong Dong, Wenxia Chen, Ying Wang, Ting Chen, Rudong |
| description | In this paper, the method of measuring the porosity of electrostatic nanofiber membrane by VC++ and Matlab is introduced. It is found that the ratio of the calculated porosity to the porosity measured by the mercury intrusion method accords with the famous Feigenbaum constant (α=2.5029078750957⋯). The porosity distribution of nanofiber membranes was studied by VC++ and Matlab based on the image obtained by using a scanning electron microscope. The porosity distribution calculated by using a computer is magnified by eα times which was named as relative porosity distribution. According to the relative porosity distribution, we use the algorithm proposed by Grassberger and Procaccia (briefly referred to as the G-P algorithm) to calculate the correlation fractal dimension. The correlation fractal dimension calculated from the relative porosity distribution series was between 1 and 2, consistent with geometric characteristics of coincidence samples. The fractal meaning of the Feigenbaum constant was verified again. In the end, we obtained the relationship between the associated fractal dimension and the filtration resistance by fitting in accordance with the secondary function relationship and reached the maximum correlation fractal dimension when the filtration resistance was 15–20 pa. |
| doi_str_mv | 10.1155/2020/2503154 |
| format | Article |
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It is found that the ratio of the calculated porosity to the porosity measured by the mercury intrusion method accords with the famous Feigenbaum constant (α=2.5029078750957⋯). The porosity distribution of nanofiber membranes was studied by VC++ and Matlab based on the image obtained by using a scanning electron microscope. The porosity distribution calculated by using a computer is magnified by eα times which was named as relative porosity distribution. According to the relative porosity distribution, we use the algorithm proposed by Grassberger and Procaccia (briefly referred to as the G-P algorithm) to calculate the correlation fractal dimension. The correlation fractal dimension calculated from the relative porosity distribution series was between 1 and 2, consistent with geometric characteristics of coincidence samples. The fractal meaning of the Feigenbaum constant was verified again. In the end, we obtained the relationship between the associated fractal dimension and the filtration resistance by fitting in accordance with the secondary function relationship and reached the maximum correlation fractal dimension when the filtration resistance was 15–20 pa.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2020/2503154</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Algorithms ; Correlation ; Experiments ; Filtration ; Fractal geometry ; Fractals ; Intrusion ; Mathematical analysis ; Matlab ; Membranes ; Methods ; Nanofibers ; Polyvinyl alcohol ; Pore size ; Porosity ; Scanning electron microscopy</subject><ispartof>Mathematical problems in engineering, 2020, Vol.2020 (2020), p.1-8</ispartof><rights>Copyright © 2020 Ting Wang et al.</rights><rights>Copyright © 2020 Ting Wang et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. http://creativecommons.org/licenses/by/4.0</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c360t-adb5570808e697ba6031bf37405adb361ba227931c594d14174d7a8c6d9174e83</citedby><cites>FETCH-LOGICAL-c360t-adb5570808e697ba6031bf37405adb361ba227931c594d14174d7a8c6d9174e83</cites><orcidid>0000-0003-3291-0968 ; 0000-0001-6922-7850</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,4024,27923,27924,27925</link.rule.ids></links><search><contributor>De Bartolo, Samuele</contributor><contributor>Samuele De Bartolo</contributor><creatorcontrib>Pan, Tiandi</creatorcontrib><creatorcontrib>Shi, Luo Yi</creatorcontrib><creatorcontrib>Liu, Yong</creatorcontrib><creatorcontrib>Dong, Wenxia</creatorcontrib><creatorcontrib>Chen, Ying</creatorcontrib><creatorcontrib>Wang, Ting</creatorcontrib><creatorcontrib>Chen, Rudong</creatorcontrib><title>Fractal Characteristics of Porosity of Electrospun Nanofiber Membranes</title><title>Mathematical problems in engineering</title><description>In this paper, the method of measuring the porosity of electrostatic nanofiber membrane by VC++ and Matlab is introduced. 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It is found that the ratio of the calculated porosity to the porosity measured by the mercury intrusion method accords with the famous Feigenbaum constant (α=2.5029078750957⋯). The porosity distribution of nanofiber membranes was studied by VC++ and Matlab based on the image obtained by using a scanning electron microscope. The porosity distribution calculated by using a computer is magnified by eα times which was named as relative porosity distribution. According to the relative porosity distribution, we use the algorithm proposed by Grassberger and Procaccia (briefly referred to as the G-P algorithm) to calculate the correlation fractal dimension. The correlation fractal dimension calculated from the relative porosity distribution series was between 1 and 2, consistent with geometric characteristics of coincidence samples. The fractal meaning of the Feigenbaum constant was verified again. In the end, we obtained the relationship between the associated fractal dimension and the filtration resistance by fitting in accordance with the secondary function relationship and reached the maximum correlation fractal dimension when the filtration resistance was 15–20 pa.</abstract><cop>Cairo, Egypt</cop><pub>Hindawi Publishing Corporation</pub><doi>10.1155/2020/2503154</doi><tpages>8</tpages><orcidid>https://orcid.org/0000-0003-3291-0968</orcidid><orcidid>https://orcid.org/0000-0001-6922-7850</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | Algorithms Correlation Experiments Filtration Fractal geometry Fractals Intrusion Mathematical analysis Matlab Membranes Methods Nanofibers Polyvinyl alcohol Pore size Porosity Scanning electron microscopy |
| title | Fractal Characteristics of Porosity of Electrospun Nanofiber Membranes |
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