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


Geometry
---------


.. image:: images/Object_1.svg
    :width: 569
    :height: 188


.. _RefImage_Object_1.svg:

Rectangular tube:


.. csv-table::

    "length:", ":math:`L={l}_{x}=1.0m`"
    "height:", ":math:`h={l}_{y}=0.1m`"
    "width:", ":math:`l={l}_{z}=0.2m`"


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


.. csv-table::

    "", ":math:`A` "," :math:`B` "," :math:`C` "," :math:`D`"
    ":math:`x` ", "0. ", "0. ", "1.00", "1.00"
    ":math:`y` ", "0. ", "0.05", "0. ", "0.05"
    ":math:`z` ", "0.20", "0.10", "0.10", "0.20", "0.10"



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

Air:

:math:`{\rho }_{c}=1.3\mathrm{kg.}{m}^{-3}`

:math:`{c}_{0}=343.{\mathrm{m.s}}^{-1}`


Boundary conditions and loading
------------------------------------


.. csv-table::

    "Normal input speed", ":math:`V\mathrm{=}{V}_{n}\mathrm{\times }\mathrm{exp}(i\omega t)` with :math:`{V}_{n}=0.014{\mathrm{m.s}}^{-1}`"
    "", ":math:`f=500\mathrm{Hz}`"
    "Impedance at the end :math:`\mathrm{CD}` "," :math:`Z={\rho }_{0}\mathrm{.}{c}_{0}=445.9{\mathrm{kg.m}}^{-2}{s}^{-1}`"