1. Reference problem

1.1. Geometry

1.2. Material properties

\(\lambda =1.0+0.5TW/\mathrm{m.}°C\)	Thermal conductivity
\(\rho c=1.0+0.5TJ/{m}^{3.}°C\)	Volume heat

1.3. Boundary conditions and loads

• side \([\mathrm{AD}]\): imposed flow \(q=1W/{m}^{2}\) for \(t>0\),

• rated \([\mathrm{AB}]\), \([\mathrm{BC}]\), \([\mathrm{CD}]\) \(\varphi =0.\)

1.4. Initial conditions

\(T(x\mathrm{,0})=0°C\) for everything \(x\)