1. Reference problem#
1.1. Geometry#
1.2. Material properties#
These are the characteristics of aluminum indicated by s for the solid phase and by l for the liquid phase. They are assumed to be constant within each phase.
Density |
\({\rho }_{S}=2550\mathrm{kg}/{m}^{3}\) |
|
Volume heat |
\({c}_{S}=3.{10}^{6}J/{m}^{3}°C\) |
|
Thermal conductivity |
\({k}_{S}=210W/m°C\) |
|
Latent heat of fusion |
\(L=437.44{10}^{-3}\mathrm{J.kg}\) |
|
Melting temperature |
\({T}_{m}=660.°C\) |
|
Volume enthalpy change |
\(\Delta H=1.08048{10}^{9}J/{m}^{3}\) |
1.3. Boundary conditions and loads#
Temperature imposed at the extremities.
\({T}_{0}=580°C\) in \(x=0\)
\({T}_{i}=740°C\) in \(x=l\)
1.4. Initial conditions#
Uniform initial temperature
\({T}_{\mathrm{init}}={T}_{i}=740°C\)