1. Reference problem#

1.1. Geometry#

_images/Object_1.svg

1.2. Material properties#

\({\lambda }_{x}=1.0W/\mathrm{m.}°C\)

Thermal conductivity along the \(x\) axis

\({\lambda }_{y}=0.75W/\mathrm{m.}°C\)

Thermal conductivity along the \(y\) axis

\({\lambda }_{z}=0.50W/\mathrm{m.}°C\)

Thermal conductivity along the \(z\) axis

1.3. Boundary conditions and loads#

  • Normal flow density:

  • \({\varphi }_{n}=60W/{m}^{2}\) side \(y=-0.1\) (incoming flow),

  • \({\varphi }_{n}=-60W/{m}^{2}\) face \(y=0.1\) (outgoing flow),

  • \({\varphi }_{n}=30W/{m}^{2}\) side \(z=-0.1\) (incoming flow),

  • \({\varphi }_{n}=-30W/{m}^{2}\) face \(z=0.1\) (outgoing flow),

  • Convection on faces \(x=–0.1\) and \(x=0.1\): \(h=15W/{m}^{2}°C\),

  • Linear variation in outside temperatures,

  • \({T}_{\mathrm{ext}}=30-\mathrm{80y}-\mathrm{60z}\) side \(x=-0.1\),

  • \({T}_{\mathrm{ext}}=15-\mathrm{80y}-\mathrm{60z}\) side \(x=\mathrm{0.1}\).

1.4. Initial conditions#

Not applicable.