Reference problem ===================== Geometry --------- .. image:: images/Object_1.svg :width: 378 :height: 111 .. _RefImage_Object_1.svg: Dimensions in meters Material properties ---------------------- .. csv-table:: ":math:`\lambda =35W/m°C` ", "thermal conductivity" ":math:`{C}_{p}=440.5J/\mathrm{kg}°C` ", "specific heat" ":math:`\rho =7200\mathrm{kg}/{m}^{3}` ", "density" Boundary conditions and loads ------------------------------------- * temperature imposed at point :math:`A`: :math:`{T}_{A}=0°C`, * temperature imposed at point :math:`B`: :math:`{T}_{B}=100\mathrm{sin}(\pi t/40)°C`. Initial conditions -------------------- :math:`t=0`: :math:`T(x)=0°C`