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
Which can be simplifed to the following for one dimension
Results
Python Implimenataion
Mathcad Implimentation
Resources
- phcreery/TransientConduction
- Wikipedia: Transient Conduction
- Wikipedia: Crank-Nicolson
- Hackaday Article by Matt Moses
- In depth comparison from Tennessee Technological University
- Another Comparison by Hans Petter Langtangen
- Hindered Settling python implimentation
- Another Python implimentation Claudio Bellei
- Video Explanation by Sam R