Solutions of 1D Fourier Heat Equation

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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




[1] R. C. Daileda, "The Two-Dimensional Heat Equation." Partial Differential Equations, Lecture 12, Trinity University, 2012.

[2] Panda the Red, "The Heat Equation, Explained," Cantor's Paradise (blog). (Jun 30, 2019)

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