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2020-01-04

1D Transient Thermal Conduction

Source Code

I wrote a simple script to calculate and display 1 dimensional plane wall transient thermal conduction. Originally for an in-depth analysis of an insualtion wall of a solder reflow oven for a thermodynamic project. Instead of going into how it works, I am going to just dump some of the results on this page and link a few good resources that already exist for explaining the methods (and probably do better that I can).

Heat equation

3 dimensional heat eq

Which can be simplifed to the following for one dimension

1 dimensional heat eq

Results

Python Implimenataion

Transient ConductionCrank NicholsonComparison

Mathcad Implimentation

Transient ConductionCrank Nicholson

Resources

This page is delivered to you from my garage.