Efflux speed via pressure and density
=====================================

The speed of a fluid flowing out from a small orifice can be expressed as a function
of the fluid's :doc:`hydrostatic pressure <laws.hydro.hydrostatic_pressure_via_density_and_height>`
and density.

**Conditions:**

#. The orifice is very small relative to the horizontal cross-section of the container.
#. The fluid is :ref:`ideal <ideal_fluid_def>`.

..
    TODO find link

.. py:currentmodule:: symplyphysics.laws.hydro.efflux_speed_via_hydrostatic_pressure_and_density

.. py:data:: efflux_speed

    :attr:`~symplyphysics.symbols.classical_mechanics.flow_speed` of the fluid flowing out of the pipe.

Symbol:
    :code:`u`

Latex:
    :math:`u`

Dimension:
    :code:`velocity`


.. py:data:: hydrostatic_pressure

    :attr:`~symplyphysics.symbols.classical_mechanics.hydrostatic_pressure` of the fluid.

Symbol:
    :code:`p`

Latex:
    :math:`p`

Dimension:
    :code:`pressure`


.. py:data:: density

    :attr:`~symplyphysics.symbols.basic.density` of the fluid.

Symbol:
    :code:`rho`

Latex:
    :math:`\rho`

Dimension:
    :code:`mass/volume`


.. py:data:: law

    :code:`u = sqrt(2 * p / rho)`


    Latex:
        .. math::
            u = \sqrt{\frac{2 p}{\rho}}