1. Reference problem#

1.1. Geometry#

_images/Object_1.svg

Dimensions in meters

1.2. Material properties#

\(\lambda =35W/m°C\)

thermal conductivity

\({C}_{p}=440.5J/\mathrm{kg}°C\)

specific heat

\(\rho =7200\mathrm{kg}/{m}^{3}\)

density

1.3. Boundary conditions and loads#

  • temperature imposed at point \(A\): \({T}_{A}=0°C\),

  • temperature imposed at point \(B\): \({T}_{B}=100\mathrm{sin}(\pi t/40)°C\).

1.4. Initial conditions#

\(t=0\): \(T(x)=0°C\)