Solutions of 1D Fourier Heat Equation
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This Demonstration shows heat flow through a 1m bar of selected composition, based on solutions of the 1D Fourier heat equation. Select the material and initial temperature to see the heat flow over time by moving the "time (s)" slider. As the time progresses, thermal energy initially concentrated at the center spreads out along the length of the bar.
Contributed by: Nathaniel White and Erika Anderson (August 2022)
Open content licensed under CC BY-NC-SA
Snapshots
Details
References
[1] R. C. Daileda, "The Two-Dimensional Heat Equation." Partial Differential Equations, Lecture 12, Trinity University, 2012. ramanujan.math.trinity.edu/rdaileda/teach/s17/m3357/lectures/lecture12.pdf.
[2] Panda the Red, "The Heat Equation, Explained," Cantor's Paradise (blog). (Jun 30, 2019) www.cantorsparadise.com/the-heat-equation-a76d7773a0b5.
Permanent Citation
Steady-State 1D Conduction through a Composite Wall
Sara McCaslin and Fredericka Brown
Heat Transfer in a Heat Exchanger
Mark D. Normand, Maria G. Corradini, and Micha Peleg
Heat Transfer in Fins
Rachael L. Baumann
Heat Diffusion in a Semi-Infinite Region
Brian Vick
Steady-State Heat Transfer through an Insulated Wall
Mark D. Normand and Micha Peleg
Pins, Fins and Staggered Fins on Heat-Transfer Panels
Remy Fortin and Salmaan Craig
Latent Heats of Fusion and Vaporization
Enrique Zeleny
Transient Heat Conduction with a Nuclear Heat Source
Clay Gruesbeck
Nonsteady-State Heat Conduction in a Cylinder
Housam Binous
Heat Conduction in Some Standard Solids
Mikhail Dimitrov Mikhailov
