Boundary element method for non-linear heat conduction

• Main Author: Tan, Yuyan
• Other Authors: Ang Whye Teong
• Format: Final Year Project
• Language: English
• Published: 2016
• Subjects: DRNTU::Engineering
• Online Access: http://hdl.handle.net/10356/68729
• Institution: Nanyang Technological University

Heat is important in our daily lives. It warms our house, dry our clothes, heat the water and enable us to cook. There are 3 types of heat transfer- Conduction, convection and radiation. In a steady-state heat conduction problem when heat generation is zero and thermal conductivity assumed to be constant, the heat conduction equation can be describe as a Laplace equation. In metal quenching however, experimental results has shown that thermal conductivity is dependent on the temperature. The heat conduction equation become non-linear, making it harder to solve analytically, as such numerical method are usually used. Thermal conductivity is a material property and it measures the rate of heat flow. The study of temperature distribution due to thermal conductivity is important to ensure the effectiveness in heat transmission and reliability of the material. In this report, Boundary Element Method will be introduced to solve both steady-state two-dimensional isotopic linear and non-linear heat conduction problem. Results are compared with analytical solutions to check the accuracy of Boundary Element Method. Contour drawing for temperature distribution will be plotted and analysed for thermal conductivity, κ=constant,κ=T and κ=T^2.