# Transient Heat Diffusion in a Rod

Transient heat diffusion problem where a unit length rod is kept at
fixed temperature *T = 25* at the right end and losing heat from a
constant outward heat flux *q _{n} = 1* at the other end. The
computed results are compared with the analytic solution

$$ T_{ref} = (24+x) + \sum_{n=1}^\infty 8/(1-2n)^2/\pi^2cos((n-½)\pi x)e^{-((n-½)^2\pi^2)t}$$

This model is available as an automated tutorial by selecting **Model
Examples and Tutorials…** > **Heat Transfer** > **Transient Heat
Diffusion in a Rod** from the **File** menu. Or alternatively, follow
the linked step-by-step instructions.