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


.. image:: images/Shape1.gif


.. _RefSchema_Shape1.gif:


Geometry
---------


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


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    :height: 2.6165in


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    :height: 2.4646in


.. _RefImage_10000000000002400000017F41B4F2ECB4E3738B.png:

Thermal properties (conductivity and entalpy) vary with temperature and are shown in the figures below.

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


Step 1: time interval :math:`0.\mathrm{\le }t\mathrm{\le }\mathrm{3.2s}`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


* Temperature imposed on the surface :math:`\mathit{S1}`


.. csv-table::

    "Time (s)", "Temperature (°C)"
    "0.0", "20."
    "1.0", "1700."
    "3,2", "1700"



* Nonlinear flow imposed on sides :math:`\mathit{AB},\mathit{CD},\mathit{DF}`


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    :width: 4.5673in
    :height: 2.9744in


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* Flow imposed on sides :math:`\mathit{FG},\mathit{GH},\mathit{HI}`.


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    :width: 4.5626in
    :height: 3.0417in


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Step 2 time interval: :math:`\mathrm{3.2s}<t\mathrm{\le }\mathrm{600.s}`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


* Nonlinear flow imposed on sides :math:`\mathit{AB},\mathit{CD},\mathit{DF},\mathit{FG},\mathit{GH},\mathit{HI}`


.. image:: images/1000000000000243000001981BEF0C0E9831BA75.png
    :width: 4.5673in
    :height: 2.9744in


.. _RefImage_1000000000000243000001981BEF0C0E9831BA75.png0:


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

Initial temperature = 20°C