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


Geometry
---------


.. image:: images/10000000000002140000015BBD3D20DCBFCC8637.png
    :width: 4.1236in
    :height: 2.7319in


.. _RefImage_10000000000002140000015BBD3D20DCBFCC8637.png:

Height :math:`L=3.m`

Width :math:`l=1.m`


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

Volume heat :math:`\rho {C}_{P}=0.`

Thermal conductivity :math:`k=\mathrm{1.W}/m°C`


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


.. csv-table::

    "Outgoing flow through plane :math:`{B}_{1}{F}_{1}{G}_{1}{C}_{1}` same as inflow through plane :math:`{A}_{2}{E}_{2}{H}_{2}{D}_{2}` ", ""
    "Temperature imposed in :math:`{A}_{1}`
    Temperature imposed in :math:`{B}_{2}` "," :math:`T=0.°C`
    :math:`T=4.5°C`"
    "Normal flow imposed on plan :math:`{B}_{2}{F}_{2}{G}_{2}{C}_{2}`
    Normal flow imposed on plans :math:`{C}_{1}{G}_{1}{H}_{1}{D}_{1}` and :math:`{C}_{2}{G}_{2}{H}_{2}{D}_{2}` "," :math:`\varphi =\mathrm{3.W}/{m}^{2}`
    :math:`\varphi =\mathrm{6.W}/{m}^{2}`"
    "Normal flow imposed on plans :math:`{E}_{1}{F}_{1}{G}_{1}{H}_{1}` and :math:`{E}_{2}{F}_{2}{G}_{2}{H}_{2}` "," :math:`\varphi =\mathrm{2.W}/{m}^{2}`"
    "Source imposed in domain 1
    Source imposed in field 2", ":math:`{s}_{1}`
    :math:`{s}_{2}`"