Neutron flux for uniform parallelepiped
=======================================

Neutron flux for a uniform rectangular parallelepiped reactor of side lengths
:math:`a, b, c` depends on the cartesian coordinates :math:`x, y, z`.

.. py:currentmodule:: symplyphysics.laws.nuclear.buckling.neutron_flux_for_uniform_parallelepiped

.. py:data:: dimension_factor

    Dimension factor that appears as a coefficient in the solution to the :ref:`differential
    equation <Diffusion equation from neutron flux>`. See :attr:`~symplyphysics.symbols.nuclear.neutron_flux`.

Symbol:
    :code:`Phi_0`

Latex:
    :math:`\Phi_{0}`

Dimension:
    :code:`1/(area*time)`


.. py:data:: x

    :attr:`~symplyphysics.symbols.classical_mechanics.position` along the :math:`x`-axis.

Symbol:
    :code:`x_1`

Latex:
    :math:`x_{1}`

Dimension:
    :code:`length`


.. py:data:: y

    :attr:`~symplyphysics.symbols.classical_mechanics.position` along the :math:`y`-axis.

Symbol:
    :code:`x_2`

Latex:
    :math:`x_{2}`

Dimension:
    :code:`length`


.. py:data:: z

    :attr:`~symplyphysics.symbols.classical_mechanics.position` along the :math:`z`-axis.

Symbol:
    :code:`x_3`

Latex:
    :math:`x_{3}`

Dimension:
    :code:`length`


.. py:data:: length

    :attr:`~symplyphysics.symbols.classical_mechanics.length` along the :math:`x`-axis.

Symbol:
    :code:`l_1`

Latex:
    :math:`l_{1}`

Dimension:
    :code:`length`


.. py:data:: width

    :attr:`~symplyphysics.symbols.classical_mechanics.length` along the :math:`y`-axis.

Symbol:
    :code:`l_2`

Latex:
    :math:`l_{2}`

Dimension:
    :code:`length`


.. py:data:: height

    :attr:`~symplyphysics.symbols.classical_mechanics.length` along the :math:`z`-axis.

Symbol:
    :code:`l_3`

Latex:
    :math:`l_{3}`

Dimension:
    :code:`length`


.. py:data:: neutron_flux

    :attr:`~symplyphysics.symbols.nuclear.neutron_flux` at a point with coordinates :attr:`~x`, :attr:`~y`, :attr:`~z`.

Symbol:
    :code:`Phi`

Latex:
    :math:`\Phi`

Dimension:
    :code:`1/(area*time)`


.. py:data:: law

    :code:`Phi = Phi_0 * cos(pi / l_2 * x_1) * cos(pi / l_1 * x_2) * cos(pi / l_3 * x_3)`


    Latex:
        .. math::
            \Phi = \Phi_{0} \cos{\left(\frac{\pi}{l_{2}} x_{1} \right)} \cos{\left(\frac{\pi}{l_{1}} x_{2} \right)} \cos{\left(\frac{\pi}{l_{3}} x_{3} \right)}