2. Reference solution

2.1. Calculation method used for the reference solution

The stationary analytical solution is obtained by solving a zero Laplacian on each of the two plates of the form \(T(x)=\mathrm{ax}+b\), the 4 coefficients (2 per plate) are obtained by explaining the boundary conditions:

\(0.\le x\le 0.495:T={T}_{0}+\frac{h({T}_{L}-{T}_{0})}{\lambda +h({l}_{1}+{l}_{2})}x\)

\(0.505\le x\le 1.:T={T}_{L}-\frac{h({T}_{L}-{T}_{0})}{\lambda +h({l}_{1}+{l}_{2})}(L-x)\)

2.2. Benchmark results

Temperatures on line \(y=0\)

2.3. Uncertainty about the solution

Analytical solution.