Reference problem
=====================


Geometry
---------


.. image:: images/1000096A00001CF000000EE23159C12A02E3E90E.svg
    :width: 373
    :height: 192


.. _RefImage_1000096A00001CF000000EE23159C12A02E3E90E.svg:

Length: :math:`L=\mathrm{20mm}`

Width: :math:`b=\mathrm{2mm}`

Thickness: :math:`h=\mathrm{4mm}`


Material properties
-----------------------

Conductivity :math:`\lambda =1000W/\mathrm{mm}/°C`


Boundary conditions and loads
-------------------------------------


* Zero temperature at point :math:`O`, throughout the thickness.


* On the upper (ABEF) + and lower (ABEF) faces —:

exchange coefficient: :math:`h=10W/{\mathrm{mm}}^{2}/°C`

Outside temperature: :math:`\mathrm{Text}=50°C`


* On the upper side :math:`{(\mathrm{BCDE})}^{\text{+}}` and the lower side :math:`{(\mathrm{BCDE})}^{\text{–}}`:

exchange coefficient: :math:`h=10W/{\mathrm{mm}}^{2}/°C`

Outside temperature: :math:`{T}_{\mathrm{ext}}=–50°C`