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


Geometry
---------

D

C


.. image:: images/Shape2.gif


.. _RefSchema_Shape2.gif:

B

A

Coordinates of the points (:math:`m`):


.. csv-table::

    ":math:`A` ", "0", "0"," 0", ":math:`C` "," ", "100"
    ":math:`B` ", "100", "-0"," -0", ":math:`D` ", "0", "100"



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

We only give here the properties on which the solution depends, knowing that the command file contains other material data (elasticity modules, thermal conductivity...) which ultimately play no role in the solution of the problem being treated.


+------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Liquid water            |Density (                                                                                                                                                                                                       |103                                                                                                                                                                                                                                                                                                                                     |
+                        + :math:`{\mathit{kg.m}}^{\mathrm{-}3}`                                                                                                                                                                          +                                                                                                                                                                                                                                                                                                                                        +
|                        |)                                                                                                                                                                                                               | 4180 0.                                                                                                                                                                                                                                                                                                                                |
+                        +                                                                                                                                                                                                                +                                                                                                                                                                                                                                                                                                                                        +
|                        | Heat at constant pressure (:math:`{\mathit{J.K}}^{\mathrm{-}1}`) coefficient of thermal expansion of liquid (:math:`{K}^{\mathrm{-}1}`)                                                                        |                                                                                                                                                                                                                                                                                                                                        |
+                        +                                                                                                                                                                                                                +                                                                                                                                                                                                                                                                                                                                        +
|                        |                                                                                                                                                                                                                |                                                                                                                                                                                                                                                                                                                                        |
+------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Vapeur                  |Heat capacity (                                                                                                                                                                                                 |1900                                                                                                                                                                                                                                                                                                                                    |
+                        + :math:`{\mathit{J.K}}^{\mathrm{-}1}`                                                                                                                                                                           +                                                                                                                                                                                                                                                                                                                                        +
|                        |)                                                                                                                                                                                                               | 2.5E6. 0.018                                                                                                                                                                                                                                                                                                                           |
+                        +                                                                                                                                                                                                                +                                                                                                                                                                                                                                                                                                                                        +
|                        | Initial enthalpy (latent heat of vaporization) Molar mass (:math:`{\mathit{kg.mol}}^{\mathrm{-}1}`)                                                                                                            |                                                                                                                                                                                                                                                                                                                                        |
+                        +                                                                                                                                                                                                                +                                                                                                                                                                                                                                                                                                                                        +
|                        |                                                                                                                                                                                                                |                                                                                                                                                                                                                                                                                                                                        |
+------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Skeleton                |Heat capacity at constant stress (:math:`{\mathit{J.K}}^{\mathrm{-}1}`)                                                                                                                                         |1050                                                                                                                                                                                                                                                                                                                                    |
+------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Initial state           |Porosity                                                                                                                                                                                                        |0.3                                                                                                                                                                                                                                                                                                                                     |
+                        +                                                                                                                                                                                                                +                                                                                                                                                                                                                                                                                                                                        +
|                        | Temperature (:math:`K`) Liquid Pressure (:math:`\mathit{Pa}`) Vapor Pressure (:math:`\mathit{Pa}`) Initial Liquid Saturation                                                                                   | 300 1E5 3700 0.5                                                                                                                                                                                                                                                                                                                       |
+                        +                                                                                                                                                                                                                +                                                                                                                                                                                                                                                                                                                                        +
|                        |                                                                                                                                                                                                                |                                                                                                                                                                                                                                                                                                                                        |
+------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Constants               |Ideal gas constant                                                                                                                                                                                              |8,315                                                                                                                                                                                                                                                                                                                                   |
+------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Homogenized coefficients|Homogenized density (                                                                                                                                                                                           |2200                                                                                                                                                                                                                                                                                                                                    |
+                        + :math:`{\mathit{kg.m}}^{\mathrm{-}3}`                                                                                                                                                                          +                                                                                                                                                                                                                                                                                                                                        +
|                        |)                                                                                                                                                                                                               |                                                                                                                                                                                                                                                                                                                                        |
+                        +                                                                                                                                                                                                                + .. image:: images/Object_1.svg                                                                                                                                                                                                                                                                                                         +
|                        | Sorption isotherm                                                                                                                                                                                              |    :width: 192                                                                                                                                                                                                                                                                                                                         |
+                        +                                                                                                                                                                                                                +    :height: 25                                                                                                                                                                                                                                                                                                                         +
|                        |                                                                                                                                                                                                                |                                                                                                                                                                                                                                                                                                                                        |
+                        +                                                                                                                                                                                                                +                                                                                                                                                                                                                                                                                                                                        +
|                        |                                                                                                                                                                                                                |                                                                                                                                                                                                                                                                                                                                        |
+                        +                                                                                                                                                                                                                +                                                                                                                                                                                                                                                                                                                                        +
|                        |                                                                                                                                                                                                                |                                                                                                                                                                                                                                                                                                                                        |
+                        +                                                                                                                                                                                                                + With                                                                                                                                                                                                                                                                                                                                   +
|                        |                                                                                                                                                                                                                |                                                                                                                                                                                                                                                                                                                                        |
+                        +                                                                                                                                                                                                                +                                                                                                                                                                                                                                                                                                                                        +
|                        |                                                                                                                                                                                                                | .. image:: images/Object_2.svg                                                                                                                                                                                                                                                                                                         |
+                        +                                                                                                                                                                                                                +    :width: 192                                                                                                                                                                                                                                                                                                                         +
|                        |                                                                                                                                                                                                                |    :height: 25                                                                                                                                                                                                                                                                                                                         |
+                        +                                                                                                                                                                                                                +                                                                                                                                                                                                                                                                                                                                        +
|                        |                                                                                                                                                                                                                |                                                                                                                                                                                                                                                                                                                                        |
+                        +                                                                                                                                                                                                                +                                                                                                                                                                                                                                                                                                                                        +
|                        |                                                                                                                                                                                                                |                                                                                                                                                                                                                                                                                                                                        |
+                        +                                                                                                                                                                                                                +                                                                                                                                                                                                                                                                                                                                        +
|                        |                                                                                                                                                                                                                |                                                                                                                                                                                                                                                                                                                                        |
+                        +                                                                                                                                                                                                                + .. image:: images/Object_3.svg                                                                                                                                                                                                                                                                                                         +
|                        |                                                                                                                                                                                                                |    :width: 192                                                                                                                                                                                                                                                                                                                         |
+                        +                                                                                                                                                                                                                +    :height: 25                                                                                                                                                                                                                                                                                                                         +
|                        |                                                                                                                                                                                                                |                                                                                                                                                                                                                                                                                                                                        |
+                        +                                                                                                                                                                                                                +                                                                                                                                                                                                                                                                                                                                        +
|                        |                                                                                                                                                                                                                |                                                                                                                                                                                                                                                                                                                                        |
+                        +                                                                                                                                                                                                                +                                                                                                                                                                                                                                                                                                                                        +
|                        |                                                                                                                                                                                                                |                                                                                                                                                                                                                                                                                                                                        |
+------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+



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

On all sides:

Heat flow

.. image:: images/Object_4.svg
    :width: 192
    :height: 25


.. _RefImage_Object_4.svg:

Zero hydraulic flow