Peridynamic Formulation for Coupled Thermoelectric Phenomena
Modeling of heat and electrical current flow simultaneously in thermoelectric convertor using classical theories do not consider the influence of defects in the material. This is because traditional methods are developed based on partial differential equations (PDEs) and lead to infinite fluxes at t...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/9836741 |
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| _version_ | 1832563619139682304 |
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| author | Migbar Assefa Xin Lai Lisheng Liu Yang Liao |
| author_facet | Migbar Assefa Xin Lai Lisheng Liu Yang Liao |
| author_sort | Migbar Assefa |
| collection | DOAJ |
| description | Modeling of heat and electrical current flow simultaneously in thermoelectric convertor using classical theories do not consider the influence of defects in the material. This is because traditional methods are developed based on partial differential equations (PDEs) and lead to infinite fluxes at the discontinuities. The usual way of solving such PDEs is by using numerical technique, like Finite Element Method (FEM). Although FEM is robust and versatile, it is not suitable to model evolving discontinuities. To avoid such shortcomings, we propose the concept of peridynamic theory to derive the balance of energy and charge equations in the coupled thermoelectric phenomena. Therefore, this paper presents the transport of heat and charge in thermoelectric material in the framework of peridynamic (PD) theory. To illustrate the reliability of the PD formulation, numerical examples are presented and results are compared with those from literature, analytical solutions, or finite element solutions. |
| format | Article |
| id | doaj-art-15f95d9eb7774682845b74fbd87ca55f |
| institution | Kabale University |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-15f95d9eb7774682845b74fbd87ca55f2025-02-03T01:13:04ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422017-01-01201710.1155/2017/98367419836741Peridynamic Formulation for Coupled Thermoelectric PhenomenaMigbar Assefa0Xin Lai1Lisheng Liu2Yang Liao3Department of Engineering Structure and Mechanics, Wuhan University of Technology, Wuhan 430070, ChinaDepartment of Engineering Structure and Mechanics, Wuhan University of Technology, Wuhan 430070, ChinaDepartment of Engineering Structure and Mechanics, Wuhan University of Technology, Wuhan 430070, ChinaDepartment of Engineering Structure and Mechanics, Wuhan University of Technology, Wuhan 430070, ChinaModeling of heat and electrical current flow simultaneously in thermoelectric convertor using classical theories do not consider the influence of defects in the material. This is because traditional methods are developed based on partial differential equations (PDEs) and lead to infinite fluxes at the discontinuities. The usual way of solving such PDEs is by using numerical technique, like Finite Element Method (FEM). Although FEM is robust and versatile, it is not suitable to model evolving discontinuities. To avoid such shortcomings, we propose the concept of peridynamic theory to derive the balance of energy and charge equations in the coupled thermoelectric phenomena. Therefore, this paper presents the transport of heat and charge in thermoelectric material in the framework of peridynamic (PD) theory. To illustrate the reliability of the PD formulation, numerical examples are presented and results are compared with those from literature, analytical solutions, or finite element solutions.http://dx.doi.org/10.1155/2017/9836741 |
| spellingShingle | Migbar Assefa Xin Lai Lisheng Liu Yang Liao Peridynamic Formulation for Coupled Thermoelectric Phenomena Advances in Materials Science and Engineering |
| title | Peridynamic Formulation for Coupled Thermoelectric Phenomena |
| title_full | Peridynamic Formulation for Coupled Thermoelectric Phenomena |
| title_fullStr | Peridynamic Formulation for Coupled Thermoelectric Phenomena |
| title_full_unstemmed | Peridynamic Formulation for Coupled Thermoelectric Phenomena |
| title_short | Peridynamic Formulation for Coupled Thermoelectric Phenomena |
| title_sort | peridynamic formulation for coupled thermoelectric phenomena |
| url | http://dx.doi.org/10.1155/2017/9836741 |
| work_keys_str_mv | AT migbarassefa peridynamicformulationforcoupledthermoelectricphenomena AT xinlai peridynamicformulationforcoupledthermoelectricphenomena AT lishengliu peridynamicformulationforcoupledthermoelectricphenomena AT yangliao peridynamicformulationforcoupledthermoelectricphenomena |