🎬The demonstration of the nature of transient heat diffusion and the importance of the Fourier number

The transient heat conduction analysis, as demonstrated by the Python animation, is the clear visualization of the diffusive nature of heat transfer and the governing role of the Fourier number ( $F_o$ ). The simulation illustrates that when the sphere's surface instantly reaches the new temperature ( $T_0$ ), the interior doesn't respond simultaneously; instead, the change is initially localized at the boundary. The animation shows that the sphere's core remains thermally isolated for a significant time until the Fourier number, which dictates the rate of heat penetration relative to the sphere's size, increases sufficiently. This progression visually confirms that heat conduction is a time-dependent process, where the temperature profiles gradually flatten and decrease, illustrating the system's smooth, time-consuming approach toward a uniform, steady-state thermal equilibrium.

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The demonstration of the nature of transient heat diffusion and the importance of the Fourier number | Animated Resultsviadean on Notion