1. Reference problem#

1.1. Geometry#

_images/Object_1.svg _images/Object_2.svg

\({r}_{i}=6.35\mathrm{.}{10}^{-3}m\)

\({r}_{e}=25.4\mathrm{.}{10}^{-3}m\)

1.2. Material properties#

\(\lambda\)

\(=\)

\({C}_{0}+{C}_{1}TW/m°C\)

Thermal conductivity

with

\({C}_{0}=21.461W/m°C\)

\({C}_{1}=0.234W/m°{C}^{2}\)

1.3. Boundary conditions and loads#

  • inner surface:

\({T}_{i}=-17.78°C\)

  • outer surface:

\({T}_{e}=-17.78°C\)

  • heat source:

\(Q=1.035\mathrm{.}{10}^{7}W/\mathrm{m3}\)

1.4. Initial conditions#

Not applicable.