Thermoelectric Efficiency of Silicon–Germanium Alloys in Finite-Time Thermodynamics
We analyze the efficiency in terms of a thermoelectric system of a one-dimensional Silicon–Germanium alloy. The dependency of thermal conductivity on the stoichiometry is pointed out, and the best fit of the experimental data is determined by a nonlinear regression method (NLRM). The thermoelectric...
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MDPI AG
2020-10-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/10/1116 |
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| author | Patrizia Rogolino Vito Antonio Cimmelli |
| author_facet | Patrizia Rogolino Vito Antonio Cimmelli |
| author_sort | Patrizia Rogolino |
| collection | DOAJ |
| description | We analyze the efficiency in terms of a thermoelectric system of a one-dimensional Silicon–Germanium alloy. The dependency of thermal conductivity on the stoichiometry is pointed out, and the best fit of the experimental data is determined by a nonlinear regression method (NLRM). The thermoelectric efficiency of that system as function of the composition and of the effective temperature gradient is calculated as well. For three different temperatures (<inline-formula><math display="inline"><semantics><mrow><mi>T</mi><mo>=</mo><mn>300</mn><mtext> </mtext><mi mathvariant="normal">K</mi></mrow></semantics></math></inline-formula>, <inline-formula><math display="inline"><semantics><mrow><mi>T</mi><mo>=</mo><mn>400</mn><mtext> </mtext><mi mathvariant="normal">K</mi></mrow></semantics></math></inline-formula>, <inline-formula><math display="inline"><semantics><mrow><mi>T</mi><mo>=</mo><mn>500</mn><mtext> </mtext><mi mathvariant="normal">K</mi></mrow></semantics></math></inline-formula>), we determine the values of composition and thermal conductivity corresponding to the optimal thermoelectric energy conversion. The relationship of our approach with Finite-Time Thermodynamics is pointed out. |
| first_indexed | 2024-03-10T15:52:22Z |
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| id | doaj.art-05f01d2991ee416cb78bbdc6f5cd3231 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T15:52:22Z |
| publishDate | 2020-10-01 |
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| series | Entropy |
| spelling | doaj.art-05f01d2991ee416cb78bbdc6f5cd32312023-11-20T15:55:33ZengMDPI AGEntropy1099-43002020-10-012210111610.3390/e22101116Thermoelectric Efficiency of Silicon–Germanium Alloys in Finite-Time ThermodynamicsPatrizia Rogolino0Vito Antonio Cimmelli1Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno d’Alcontres, 31, 98166 Messina, ItalyDepartment of Mathematics, Computer Science and Economics, University of Basilicata, Viale dell’Ateneo Lucano, 10, 85100 Potenza, ItalyWe analyze the efficiency in terms of a thermoelectric system of a one-dimensional Silicon–Germanium alloy. The dependency of thermal conductivity on the stoichiometry is pointed out, and the best fit of the experimental data is determined by a nonlinear regression method (NLRM). The thermoelectric efficiency of that system as function of the composition and of the effective temperature gradient is calculated as well. For three different temperatures (<inline-formula><math display="inline"><semantics><mrow><mi>T</mi><mo>=</mo><mn>300</mn><mtext> </mtext><mi mathvariant="normal">K</mi></mrow></semantics></math></inline-formula>, <inline-formula><math display="inline"><semantics><mrow><mi>T</mi><mo>=</mo><mn>400</mn><mtext> </mtext><mi mathvariant="normal">K</mi></mrow></semantics></math></inline-formula>, <inline-formula><math display="inline"><semantics><mrow><mi>T</mi><mo>=</mo><mn>500</mn><mtext> </mtext><mi mathvariant="normal">K</mi></mrow></semantics></math></inline-formula>), we determine the values of composition and thermal conductivity corresponding to the optimal thermoelectric energy conversion. The relationship of our approach with Finite-Time Thermodynamics is pointed out.https://www.mdpi.com/1099-4300/22/10/1116finite-time thermodynamicsSilicon–Germanium alloysminimum of thermal conductivityefficiency of thermoelectric systemsminimal energy dissipation |
| spellingShingle | Patrizia Rogolino Vito Antonio Cimmelli Thermoelectric Efficiency of Silicon–Germanium Alloys in Finite-Time Thermodynamics Entropy finite-time thermodynamics Silicon–Germanium alloys minimum of thermal conductivity efficiency of thermoelectric systems minimal energy dissipation |
| title | Thermoelectric Efficiency of Silicon–Germanium Alloys in Finite-Time Thermodynamics |
| title_full | Thermoelectric Efficiency of Silicon–Germanium Alloys in Finite-Time Thermodynamics |
| title_fullStr | Thermoelectric Efficiency of Silicon–Germanium Alloys in Finite-Time Thermodynamics |
| title_full_unstemmed | Thermoelectric Efficiency of Silicon–Germanium Alloys in Finite-Time Thermodynamics |
| title_short | Thermoelectric Efficiency of Silicon–Germanium Alloys in Finite-Time Thermodynamics |
| title_sort | thermoelectric efficiency of silicon germanium alloys in finite time thermodynamics |
| topic | finite-time thermodynamics Silicon–Germanium alloys minimum of thermal conductivity efficiency of thermoelectric systems minimal energy dissipation |
| url | https://www.mdpi.com/1099-4300/22/10/1116 |
| work_keys_str_mv | AT patriziarogolino thermoelectricefficiencyofsilicongermaniumalloysinfinitetimethermodynamics AT vitoantoniocimmelli thermoelectricefficiencyofsilicongermaniumalloysinfinitetimethermodynamics |