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

Geometry
---------


.. image:: images/Object_1.svg
    :width: 470
    :height: 128


.. _RefImage_Object_1.svg:


.. image:: images/Object_2.svg
    :width: 470
    :height: 128


.. _RefImage_Object_2.svg:


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

.. csv-table::

    ":math:`\lambda =1.0+0.5TW/\mathrm{m.}°C` ", "Thermal conductivity"
    ":math:`\rho c=1.0+0.5TJ/{m}^{3.}°C` ", "Volume heat"



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


* side :math:`[\mathrm{AD}]`: imposed flow :math:`q=1W/{m}^{2}` for :math:`t>0`,


* rated :math:`[\mathrm{AB}]`, :math:`[\mathrm{BC}]`, :math:`[\mathrm{CD}]` :math:`\varphi =0.`


Initial conditions
--------------------

:math:`T(x\mathrm{,0})=0°C` for everything :math:`x`