1. Reference problem#

1.1. Geometry#

_images/Shape1.gif

The square is in space \(\mathrm{[}0.\mathrm{,4}\mathrm{.}\mathrm{]}\mathrm{\times }\mathrm{[}0.\mathrm{,4}\mathrm{.}\mathrm{]}\).

Coordinates of points \((m)\):

\(A:(0.,0.)\)

\(B:(0.,4.)\)

\(C:(4.,4.)\)

\(D:(4.,0.)\)

\(E:(2.,3.)\)

\(F:(3.,3.)\)

Email group:

\(\mathrm{LAB}\): segment \(\mathrm{AB}\)

\(\mathrm{LBC}\): segment \(\mathrm{BC}\)

\(\mathrm{LCD}\): segment \(\mathrm{CD}\)

\(\mathrm{LDA}\): segment \(\mathrm{AD}\)

1.2. Material properties#

      • Conduction

_images/100002000000022A000000E9828CF2CD10DFC37E.png

      • Enthalpy

Temperature \((°C)\)

Enthalpy \((J)\)

-50.

0

-0.25

49.75

-0.15

120.010

169.860

1.3. Boundary conditions and loads#

\(T=-45°C\) from \(t=0\mathrm{sec}\) to \(t=10\mathrm{sec}\)

1.4. Initial conditions#

\(T=0°C\) to \(t=0.\mathrm{sec}\)