1. Reference problem#
1.1. Geometry#
1.2. Material properties#
\(\lambda =40W/m°C\)
\(\rho {C}_{p}=7.3{10}^{-4}J/{m}^{3}°C\) or \(\beta =\mid \begin{array}{}0\text{à}0°C\\ {220.10}^{-3}J/{m}^{3}\text{à}300°C\end{array}\)
To deal with the same problem in nonlinear thermics, we define an affine enthalpy \(\beta\) whose slope is equal to the specific heat \(\rho {C}_{p}\)
1.3. Boundary conditions and loads#
\(T(x=0)=100°C={T}_{0}\)
\(T(x=L)=300°C={T}_{L}\)
Heat exchange between the walls located in \(x=0.495\) and \(x=0.505\), with an exchange coefficient of \(80W/{m}^{2}°C\).
1.4. Initial conditions#
\(T(t=0)=\) |
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\({T}_{L}\) in the right plate |