1. Reference problem#

1.1. Geometry#

.. image:: images/Object_1.svg
    :width: 358
    :height: 226


.. _RefImage_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

1.3. Boundary conditions and loads#

  • flux density:

\({\varphi }_{y}=60W/{m}^{2}\)

face

\(y=-0.1\) (incoming flow)

\({\varphi }_{y}=-60W/{m}^{2}\)

face

\(y=0.1\) (outgoing flow)

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

  • linear variation in outside temperatures:

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

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

1.4. Initial conditions#

Not applicable.