Numerical Simulation to Determine the Effect of Topological Entropy on the Effective Transport Coefficient of Unidirectional Composites
The influence of topological entropy (<i>TS</i>) on the effective transport coefficient (ETC) of a two-phase material is analyzed. The proposed methodology studies a system of aligned bars that evolves into a stochastic heterogeneous system. This proposal uses synthetic images generated...
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MDPI AG
2020-05-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/10/6/423 |
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| author | Carlos Pacheco Romeli Barbosa Abimael Rodriguez Gerko Oskam Miguel Ruiz-Gómez Beatriz Escobar |
| author_facet | Carlos Pacheco Romeli Barbosa Abimael Rodriguez Gerko Oskam Miguel Ruiz-Gómez Beatriz Escobar |
| author_sort | Carlos Pacheco |
| collection | DOAJ |
| description | The influence of topological entropy (<i>TS</i>) on the effective transport coefficient (ETC) of a two-phase material is analyzed. The proposed methodology studies a system of aligned bars that evolves into a stochastic heterogeneous system. This proposal uses synthetic images generated by computational algorithms and experimental images from the scanning electron microscope (SEM). Microstructural variation is imposed for statistical reconstruction moments by simulated annealing (SA) and it is characterized through <i>TS</i> applied in Voronoi diagrams of the studied systems. On the other hand, ETC is determined numerically by the Finite Volume Method (FVM) and generalized by a transport efficiency of charge (<i>ek</i>). The results suggest that our approach can work as a design tool to improve the ETC in stochastic heterogeneous materials. The case studies show that <i>ek</i> decreases when <i>TS</i> increases to the point of stability of both variables. For example, for the 80% surface fraction, in the particulate system of diameter D = 1, <i>ek</i> = 50.81 ± 0.26% @ <i>TS</i> = 0.27 ± 0.002; when the system has an agglomerate distribution similar to a SEM image, <i>ek</i> = 45.69 ± 0.60% @ <i>TS</i> = 0.32 ± 0.002. |
| first_indexed | 2024-03-10T19:35:31Z |
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| id | doaj.art-43a05db1abbf49cbb29d0e4fa54f2e21 |
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| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-10T19:35:31Z |
| publishDate | 2020-05-01 |
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| record_format | Article |
| series | Crystals |
| spelling | doaj.art-43a05db1abbf49cbb29d0e4fa54f2e212023-11-20T01:46:18ZengMDPI AGCrystals2073-43522020-05-0110642310.3390/cryst10060423Numerical Simulation to Determine the Effect of Topological Entropy on the Effective Transport Coefficient of Unidirectional CompositesCarlos Pacheco0Romeli Barbosa1Abimael Rodriguez2Gerko Oskam3Miguel Ruiz-Gómez4Beatriz Escobar5Unidad de Energía Renovable, CONACYT-Centro de Investigación Científica de Yucatán, C 43 No 130, Chuburná de Hidalgo, Mérida 97200, Yucatán, MexicoDivisión de Ciencias e Ingeniería, Universidad de Quintana Roo, Boulevard Bahía s/n, Chetumal 77019, Quintana Roo, MexicoDivisión de Ciencias e Ingeniería, Universidad de Quintana Roo, Boulevard Bahía s/n, Chetumal 77019, Quintana Roo, MexicoDepartamento de Física Aplicada, CINVESTAV-IPN, Antigua Carretera a Progreso km 6, Mérida 97310, Yucatán, MexicoDepartamento de Física Aplicada, CINVESTAV-IPN, Antigua Carretera a Progreso km 6, Mérida 97310, Yucatán, MexicoUnidad de Energía Renovable, CONACYT-Centro de Investigación Científica de Yucatán, C 43 No 130, Chuburná de Hidalgo, Mérida 97200, Yucatán, MexicoThe influence of topological entropy (<i>TS</i>) on the effective transport coefficient (ETC) of a two-phase material is analyzed. The proposed methodology studies a system of aligned bars that evolves into a stochastic heterogeneous system. This proposal uses synthetic images generated by computational algorithms and experimental images from the scanning electron microscope (SEM). Microstructural variation is imposed for statistical reconstruction moments by simulated annealing (SA) and it is characterized through <i>TS</i> applied in Voronoi diagrams of the studied systems. On the other hand, ETC is determined numerically by the Finite Volume Method (FVM) and generalized by a transport efficiency of charge (<i>ek</i>). The results suggest that our approach can work as a design tool to improve the ETC in stochastic heterogeneous materials. The case studies show that <i>ek</i> decreases when <i>TS</i> increases to the point of stability of both variables. For example, for the 80% surface fraction, in the particulate system of diameter D = 1, <i>ek</i> = 50.81 ± 0.26% @ <i>TS</i> = 0.27 ± 0.002; when the system has an agglomerate distribution similar to a SEM image, <i>ek</i> = 45.69 ± 0.60% @ <i>TS</i> = 0.32 ± 0.002.https://www.mdpi.com/2073-4352/10/6/423effective transport coefficienttopological entropyaligned composites |
| spellingShingle | Carlos Pacheco Romeli Barbosa Abimael Rodriguez Gerko Oskam Miguel Ruiz-Gómez Beatriz Escobar Numerical Simulation to Determine the Effect of Topological Entropy on the Effective Transport Coefficient of Unidirectional Composites Crystals effective transport coefficient topological entropy aligned composites |
| title | Numerical Simulation to Determine the Effect of Topological Entropy on the Effective Transport Coefficient of Unidirectional Composites |
| title_full | Numerical Simulation to Determine the Effect of Topological Entropy on the Effective Transport Coefficient of Unidirectional Composites |
| title_fullStr | Numerical Simulation to Determine the Effect of Topological Entropy on the Effective Transport Coefficient of Unidirectional Composites |
| title_full_unstemmed | Numerical Simulation to Determine the Effect of Topological Entropy on the Effective Transport Coefficient of Unidirectional Composites |
| title_short | Numerical Simulation to Determine the Effect of Topological Entropy on the Effective Transport Coefficient of Unidirectional Composites |
| title_sort | numerical simulation to determine the effect of topological entropy on the effective transport coefficient of unidirectional composites |
| topic | effective transport coefficient topological entropy aligned composites |
| url | https://www.mdpi.com/2073-4352/10/6/423 |
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