Heat conduction across interface between two materials. Part I: perfectly conducting interface
This report presents a mathematical model for steady, two-dimensional heat conduction in rectangular coordinates. The model is developed using the Fourier heat conduction equation and accounts for the effects of thermal conductivity and boundary conditions. The numerical solution is obtained by expa...
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| Format: | Final Year Project (FYP) |
| Language: | English |
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Nanyang Technological University
2023
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| Online Access: | https://hdl.handle.net/10356/167977 |
| _version_ | 1811681705915842560 |
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| author | Ling, Yu Heng |
| author2 | Ang Whye-Teong |
| author_facet | Ang Whye-Teong Ling, Yu Heng |
| author_sort | Ling, Yu Heng |
| collection | NTU |
| description | This report presents a mathematical model for steady, two-dimensional heat conduction in rectangular coordinates. The model is developed using the Fourier heat conduction equation and accounts for the effects of thermal conductivity and boundary conditions. The numerical solution is obtained by expanding the Fourier heat conduction equation with the separation of variables and the trigonometric Fourier series, and the results are presented in the form of contour plots and heat maps depicting the temperature distribution. The model is validated by comparing the numerical results with analytical solutions for simple geometries. The limitations of the model, including the lack of inclusion of convection and radiation and the assumption of steady-state conditions, are discussed. This model is an attempt to produce a useful tool for predicting temperature distributions in complex geometries and can be used for designing and optimizing heat transfer systems. |
| first_indexed | 2024-10-01T03:45:12Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/167977 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:45:12Z |
| publishDate | 2023 |
| publisher | Nanyang Technological University |
| record_format | dspace |
| spelling | ntu-10356/1679772023-06-10T16:50:32Z Heat conduction across interface between two materials. Part I: perfectly conducting interface Ling, Yu Heng Ang Whye-Teong School of Mechanical and Aerospace Engineering MWTAng@ntu.edu.sg Engineering::Mathematics and analysis Engineering::Mechanical engineering This report presents a mathematical model for steady, two-dimensional heat conduction in rectangular coordinates. The model is developed using the Fourier heat conduction equation and accounts for the effects of thermal conductivity and boundary conditions. The numerical solution is obtained by expanding the Fourier heat conduction equation with the separation of variables and the trigonometric Fourier series, and the results are presented in the form of contour plots and heat maps depicting the temperature distribution. The model is validated by comparing the numerical results with analytical solutions for simple geometries. The limitations of the model, including the lack of inclusion of convection and radiation and the assumption of steady-state conditions, are discussed. This model is an attempt to produce a useful tool for predicting temperature distributions in complex geometries and can be used for designing and optimizing heat transfer systems. Bachelor of Engineering (Mechanical Engineering) 2023-06-06T01:39:01Z 2023-06-06T01:39:01Z 2023 Final Year Project (FYP) Ling, Y. H. (2023). Heat conduction across interface between two materials. Part I: perfectly conducting interface. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/167977 https://hdl.handle.net/10356/167977 en C004 application/pdf Nanyang Technological University |
| spellingShingle | Engineering::Mathematics and analysis Engineering::Mechanical engineering Ling, Yu Heng Heat conduction across interface between two materials. Part I: perfectly conducting interface |
| title | Heat conduction across interface between two materials. Part I: perfectly conducting interface |
| title_full | Heat conduction across interface between two materials. Part I: perfectly conducting interface |
| title_fullStr | Heat conduction across interface between two materials. Part I: perfectly conducting interface |
| title_full_unstemmed | Heat conduction across interface between two materials. Part I: perfectly conducting interface |
| title_short | Heat conduction across interface between two materials. Part I: perfectly conducting interface |
| title_sort | heat conduction across interface between two materials part i perfectly conducting interface |
| topic | Engineering::Mathematics and analysis Engineering::Mechanical engineering |
| url | https://hdl.handle.net/10356/167977 |
| work_keys_str_mv | AT lingyuheng heatconductionacrossinterfacebetweentwomaterialspartiperfectlyconductinginterface |