Temperature and Pressure Dependence of the Effective Thermal Conductivity of Geomaterials: Numerical Investigation by the Immersed Interface Method
The present work aims to study the nonlinear effective thermal conductivity of heterogeneous composite-like geomaterials by using a numerical approach based on the immersed interface method (IIM). This method is particularly efficient at solving the diffusion problem in domains containing inner boun...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/456931 |
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| _version_ | 1832564294789627904 |
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| author | Duc Phi Do Dashnor Hoxha |
| author_facet | Duc Phi Do Dashnor Hoxha |
| author_sort | Duc Phi Do |
| collection | DOAJ |
| description | The present work aims to study the nonlinear effective thermal conductivity of heterogeneous composite-like geomaterials by using a numerical approach based on the immersed interface method (IIM). This method is particularly efficient at solving the diffusion problem in domains containing inner boundaries in the form of perfect or imperfect interfaces between constituents. In this paper, this numerical procedure is extended in the framework of non linear behavior of constituents and interfaces. The performance of the developed tool is then demonstrated through the studies of temperature- and pressure-dependent effective thermal conductivity of geomaterials with imperfect interfaces. |
| format | Article |
| id | doaj-art-d014cd6bb98e453aac3f8e0e3c45c3bc |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d014cd6bb98e453aac3f8e0e3c45c3bc2025-02-03T01:11:25ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/456931456931Temperature and Pressure Dependence of the Effective Thermal Conductivity of Geomaterials: Numerical Investigation by the Immersed Interface MethodDuc Phi Do0Dashnor Hoxha1Laboratoire PRISME, EA4229, Polytech Orléans, 8 rue Léonard de Vinci, 45072 Orléans Cedex 2, FranceLaboratoire PRISME, EA4229, Polytech Orléans, 8 rue Léonard de Vinci, 45072 Orléans Cedex 2, FranceThe present work aims to study the nonlinear effective thermal conductivity of heterogeneous composite-like geomaterials by using a numerical approach based on the immersed interface method (IIM). This method is particularly efficient at solving the diffusion problem in domains containing inner boundaries in the form of perfect or imperfect interfaces between constituents. In this paper, this numerical procedure is extended in the framework of non linear behavior of constituents and interfaces. The performance of the developed tool is then demonstrated through the studies of temperature- and pressure-dependent effective thermal conductivity of geomaterials with imperfect interfaces.http://dx.doi.org/10.1155/2013/456931 |
| spellingShingle | Duc Phi Do Dashnor Hoxha Temperature and Pressure Dependence of the Effective Thermal Conductivity of Geomaterials: Numerical Investigation by the Immersed Interface Method Journal of Applied Mathematics |
| title | Temperature and Pressure Dependence of the Effective Thermal Conductivity of Geomaterials: Numerical Investigation by the Immersed Interface Method |
| title_full | Temperature and Pressure Dependence of the Effective Thermal Conductivity of Geomaterials: Numerical Investigation by the Immersed Interface Method |
| title_fullStr | Temperature and Pressure Dependence of the Effective Thermal Conductivity of Geomaterials: Numerical Investigation by the Immersed Interface Method |
| title_full_unstemmed | Temperature and Pressure Dependence of the Effective Thermal Conductivity of Geomaterials: Numerical Investigation by the Immersed Interface Method |
| title_short | Temperature and Pressure Dependence of the Effective Thermal Conductivity of Geomaterials: Numerical Investigation by the Immersed Interface Method |
| title_sort | temperature and pressure dependence of the effective thermal conductivity of geomaterials numerical investigation by the immersed interface method |
| url | http://dx.doi.org/10.1155/2013/456931 |
| work_keys_str_mv | AT ducphido temperatureandpressuredependenceoftheeffectivethermalconductivityofgeomaterialsnumericalinvestigationbytheimmersedinterfacemethod AT dashnorhoxha temperatureandpressuredependenceoftheeffectivethermalconductivityofgeomaterialsnumericalinvestigationbytheimmersedinterfacemethod |