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
• 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