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


Geometry
---------


.. image:: images/10000200000002CE0000030A07113369475393B3.png
    :width: 2.7827in
    :height: 3.0146in


.. _RefImage_10000200000002CE0000030A07113369475393B3.png:


.. image:: images/100002010000004C0000006024835E5C6E561CDB.png
    :width: 0.4244in
    :height: 0.5354in


.. _RefImage_100002010000004C0000006024835E5C6E561CDB.png:

The figure above shows the lyre in question. The pipe has a radius of 0.2 m and a thickness of 0.04 m. The radii of curvature are 0.2 m.


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

Steel **:**

.. csv-table::

    "Stiffness", ":math:`E=190{10}^{9}\mathit{Pa}` :math:`\mathrm{\nu }=0.3`"
    "Density", ":math:`\mathrm{\rho }=7800\mathit{kg}/{m}^{3}`"


Water **:**

.. csv-table::

    "Celerity", ":math:`c=970m/s`"
    "Density", ":math:`\mathrm{\rho }=732\mathit{kg}/{m}^{3}`"



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

The pipe is embedded at both ends. Zero pressure is applied to the fluid at its 2 ends.


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

Not applicable.