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# TransientConduction
Simple script to calculate and display 1 dimensional plane wall transient Thermal Conduction. Originally for an in-depth analysis of an insulation wall of a solder reflow oven for a thermodynamic project
## Results
Heat equation
Which can be simplified to the following for one dimension
### Python Implementation
#### Dependencies
- python2.7 or 3
- matplotlib
- numpy
### MathCAD Implementation
### SMath Studio Implementation
## Sources
- [Wikipedia: Transient Conduction](https://en.wikipedia.org/wiki/Thermal_conduction)
- [Wikipedia: Crank-Nicolson](https://en.wikipedia.org/wiki/Crank%E2%80%93Nicolson_method)
- [Hackaday Article by Matt Moses](https://hackaday.io/project/21642-repkiln/log/65537-numerically-solving-the-1d-transient-heat-equation)
- [In depth comparison from Tennessee Technological University](https://www.cae.tntech.edu/~shan/numerical%20heat%20transfer%20note(ME4730_5730)/transient%201-D%20conduction(2013).pdf)
- [Another Comparison by Hans Petter Langtangen](http://hplgit.github.io/num-methods-for-PDEs/doc/pub/diffu/sphinx/._main_diffu001.html)
- [Hindered Settling python implimentation](https://hinderedsettling.com/2015/02/06/exploring-the-diffusion-equation-with-python/)
- [Another Python implimentation Claudio Bellei](http://www.claudiobellei.com/2016/11/10/crank-nicolson/)
- [Video Explanation by Sam R](https://www.youtube.com/watch?v=LihC0DzIibo&t=399s)