Finite volume method for steady state 2D heat conduction in solids
In this project, a finite volume formulation is developed to solve the 2D steady state heat conduction problem in a rectangular domain with different boundary conditions. First, the finite volume method is applied for Dirichlet boundary conditions and the respective discretised equations are derived...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Final Year Project (FYP) |
| Language: | English |
| Published: |
Nanyang Technological University
2023
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/167945 |
| _version_ | 1811678401489010688 |
|---|---|
| author | John, Shana Elizabeth |
| author2 | Ang Whye-Teong |
| author_facet | Ang Whye-Teong John, Shana Elizabeth |
| author_sort | John, Shana Elizabeth |
| collection | NTU |
| description | In this project, a finite volume formulation is developed to solve the 2D steady state heat conduction problem in a rectangular domain with different boundary conditions. First, the finite volume method is applied for Dirichlet boundary conditions and the respective discretised equations are derived. Next, the equations are solved using the iterative algorithm developed in MATLAB and the finite volume solution is validated using the analytical solution. The finite volume solution is found to converge to the analytical solution when the meshing is made finer. Subsequently, the MATLAB code is modified to incorporate Neumann and Robin Boundary conditions. |
| first_indexed | 2024-10-01T02:52:41Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/167945 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:52:41Z |
| publishDate | 2023 |
| publisher | Nanyang Technological University |
| record_format | dspace |
| spelling | ntu-10356/1679452023-06-10T16:50:13Z Finite volume method for steady state 2D heat conduction in solids John, Shana Elizabeth Ang Whye-Teong School of Mechanical and Aerospace Engineering MWTAng@ntu.edu.sg Engineering::Mathematics and analysis In this project, a finite volume formulation is developed to solve the 2D steady state heat conduction problem in a rectangular domain with different boundary conditions. First, the finite volume method is applied for Dirichlet boundary conditions and the respective discretised equations are derived. Next, the equations are solved using the iterative algorithm developed in MATLAB and the finite volume solution is validated using the analytical solution. The finite volume solution is found to converge to the analytical solution when the meshing is made finer. Subsequently, the MATLAB code is modified to incorporate Neumann and Robin Boundary conditions. Bachelor of Engineering (Mechanical Engineering) 2023-06-05T08:45:47Z 2023-06-05T08:45:47Z 2023 Final Year Project (FYP) John, S. E. (2023). Finite volume method for steady state 2D heat conduction in solids. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/167945 https://hdl.handle.net/10356/167945 en B013 application/pdf Nanyang Technological University |
| spellingShingle | Engineering::Mathematics and analysis John, Shana Elizabeth Finite volume method for steady state 2D heat conduction in solids |
| title | Finite volume method for steady state 2D heat conduction in solids |
| title_full | Finite volume method for steady state 2D heat conduction in solids |
| title_fullStr | Finite volume method for steady state 2D heat conduction in solids |
| title_full_unstemmed | Finite volume method for steady state 2D heat conduction in solids |
| title_short | Finite volume method for steady state 2D heat conduction in solids |
| title_sort | finite volume method for steady state 2d heat conduction in solids |
| topic | Engineering::Mathematics and analysis |
| url | https://hdl.handle.net/10356/167945 |
| work_keys_str_mv | AT johnshanaelizabeth finitevolumemethodforsteadystate2dheatconductioninsolids |