https://github.com/phcreery/transientconduction

Simple Python/MathCAD/SMath implementation of calculating Transient Thermal Conduction
https://github.com/phcreery/transientconduction

mathcad matlab python smath

Last synced: about 1 month ago
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Simple Python/MathCAD/SMath implementation of calculating Transient Thermal Conduction

• Host: GitHub
• URL: https://github.com/phcreery/transientconduction
• Owner: phcreery
• Created: 2020-01-14T00:19:31.000Z (over 6 years ago)
• Default Branch: master
• Last Pushed: 2022-09-23T12:35:15.000Z (over 3 years ago)
• Last Synced: 2025-06-03T19:48:19.443Z (about 1 year ago)
• Topics: mathcad, matlab, python, smath
• Language: Python
• Homepage:
• Size: 6.07 MB
• Stars: 2
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

          
# 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 

 ![3 dimensional Heat eq](mathcad/imgs/3d-heattransfereq.png)

 

 Which can be simplified to the following for one dimension

 

 ![1 dimensional Heat eq](mathcad/imgs/1d-heattransereq.png)

 

 

 

### Python Implementation

#### Dependencies

 - python2.7 or 3

 - matplotlib

 - numpy

![Comparison](imgs/Comparison.png)

### MathCAD Implementation

![Forward Euler](mathcad/imgs/ForwardEuler.png)

![Crank Nicholson](mathcad/imgs/CrankNicholson.png)

### SMath Studio Implementation

![Transient Conduction](smath/Screenshot%202022-09-22%20191601.png)

## 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)