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

Geometry
---------

The structure is obtained by rotating around the Z axis, from the section shown in [Figure].


.. image:: images/10000B32000069D50000386ECBDB5853CA8E10C5.svg
    :width: 547
    :height: 291


.. _RefImage_10000B32000069D50000386ECBDB5853CA8E10C5.svg:

Figure 1.1-a: Structure section


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

The study is carried out using linear thermal methods; only thermal characteristics are necessary to define the material.

Isotropic thermal conductivity: :math:`\lambda =15.0W/\mathrm{m.k}`


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

The study is carried out using linear thermal methods, the conditions on the temperatures imposed are represented in [Figure], the flow conditions and the heat exchanges are indicated in [Figure].


.. image:: images/100024CE000069D50000432EDC3F76BA9A21D91B.svg
    :width: 547
    :height: 291


.. _RefImage_100024CE000069D50000432EDC3F76BA9A21D91B.svg:

Figure 1.3-a: View from above, with the imposed temperature conditions.


.. image:: images/10000000000002A90000018EF88DF9A823A015E6.png
    :width: 535
    :height: 339


.. _RefImage_10000000000002A90000018EF88DF9A823A015E6.png:

Figure 1.3-b: Sectional view, with flow conditions and heat exchanges.

Flow conditions:

:math:`{\phi }_{1}=10.0W/{m}^{2}`

:math:`{\phi }_{2}=0.0W/{m}^{2}`

:math:`{\phi }_{3}=30.0W/{m}^{2}`

Convective exchange conditions:

:math:`{h}_{1}=350.0W/{m}^{2}k` :math:`{\mathrm{tf}}_{1}=300.0°C`

:math:`{h}_{2}=400.0W/{m}^{2}k` :math:`{\mathrm{tf}}_{2}=275.0°C`

:math:`{h}_{3}=600.0W/{m}^{2}k` :math:`{\mathrm{tf}}_{3}=310.0°C`

Imposed temperature conditions:

:math:`{\mathrm{Temp}}_{1}=250.0°C`

:math:`{\mathrm{Temp}}_{2}=160.0°C`


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

Not applicable.