Heat conduction across interface between two materials. Part I: perfectly conducting interface
This document introduces a mathematical framework to describe steady, two-dimensional heat conduction in rectangular coordinates. The formulation utilizes the Fourier heat conduction equation, incorporating considerations for thermal conductivity and boundary conditions. The numerical solution invol...
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| Format: | Final Year Project (FYP) |
| Language: | English |
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Nanyang Technological University
2024
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| Online Access: | https://hdl.handle.net/10356/176516 |
| _version_ | 1826118666020716544 |
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| author | Tan, Louis Jun Wei |
| author2 | Ang Whye-Teong |
| author_facet | Ang Whye-Teong Tan, Louis Jun Wei |
| author_sort | Tan, Louis Jun Wei |
| collection | NTU |
| description | This document introduces a mathematical framework to describe steady, two-dimensional heat conduction in rectangular coordinates. The formulation utilizes the Fourier heat conduction equation, incorporating considerations for thermal conductivity and boundary conditions. The numerical solution involves expanding the Fourier heat conduction equation through the separation of variables and trigonometric Fourier series. The results are visually represented using contour plots and heat maps to display the temperature distribution. Model validation is conducted by comparing numerical results with analytical solutions applicable to simple geometries. The report acknowledges limitations, such as the exclusion of convection and radiation and the assumption of steady state conditions. Despite these limitations, the model is positioned as a valuable tool for predicting temperature distributions in complex geometries, facilitating the design and optimization of heat transfer systems. |
| first_indexed | 2024-10-01T04:47:12Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/176516 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:47:12Z |
| publishDate | 2024 |
| publisher | Nanyang Technological University |
| record_format | dspace |
| spelling | ntu-10356/1765162024-05-18T16:53:52Z Heat conduction across interface between two materials. Part I: perfectly conducting interface Tan, Louis Jun Wei Ang Whye-Teong School of Mechanical and Aerospace Engineering MWTAng@ntu.edu.sg Engineering Heat transfer This document introduces a mathematical framework to describe steady, two-dimensional heat conduction in rectangular coordinates. The formulation utilizes the Fourier heat conduction equation, incorporating considerations for thermal conductivity and boundary conditions. The numerical solution involves expanding the Fourier heat conduction equation through the separation of variables and trigonometric Fourier series. The results are visually represented using contour plots and heat maps to display the temperature distribution. Model validation is conducted by comparing numerical results with analytical solutions applicable to simple geometries. The report acknowledges limitations, such as the exclusion of convection and radiation and the assumption of steady state conditions. Despite these limitations, the model is positioned as a valuable tool for predicting temperature distributions in complex geometries, facilitating the design and optimization of heat transfer systems. Bachelor's degree 2024-05-16T07:33:59Z 2024-05-16T07:33:59Z 2024 Final Year Project (FYP) Tan, L. J. W. (2024). Heat conduction across interface between two materials. Part I: perfectly conducting interface. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/176516 https://hdl.handle.net/10356/176516 en application/pdf Nanyang Technological University |
| spellingShingle | Engineering Heat transfer Tan, Louis Jun Wei 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 Heat transfer |
| url | https://hdl.handle.net/10356/176516 |
| work_keys_str_mv | AT tanlouisjunwei heatconductionacrossinterfacebetweentwomaterialspartiperfectlyconductinginterface |