# Transient Heat Diffusion in a Rod

## Model Data

Type: heat transfer

Physics Modes: heat transfer

Keywords: validation

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 qn = 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.