Mathematical Modeling of Heat Conduction

Abdul Aziz Momin, Nikhil Shende, Abhijna Anamtatmakula, Emily Ganguly, Ashwin Gurbani, Chaitanya A Joshi, Yogesh Y Mahajan

This report describes a mathematical model of heat conduction. The differential equation for heat conduction in one dimensional rod has been derived. The explicit finite difference numerical method is used to solve this differential equation. Then for simulation, a code was written in using python libraries via Jupyter notebook. The simulation carried out for Aluminum, Copper and Mild Steel rods and results were discussed.

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