# Transient Heat Conduction

We need to add back in the time derivative to do a Transient calculation...

\rho cp \frac{\partial T}{\partial t} - \nabla \cdot k \nabla T = 0

This term already exists in the HeatConduction module it's called HeatConductionTimeDerivative...

modules/heat_conduction/src/HeatConductionTimeDerivative.C

All we need to do is use it in an input file...

step05_heat_conduction/problems/step5b_transient.i

Now to switch up the outlet BC...