Efflux speed via height
=======================

The speed of a fluid flowing out from a small orifice can be expressed as a function of
the height of the fluid column. It is also known as the **Torricelli's law**.

**Notation:**

#. :math:`g` (:code:`g`) is :attr:`~symplyphysics.quantities.acceleration_due_to_gravity`.

**Conditions:**

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

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Torricelli%27s_law#>`__.

.. py:currentmodule:: symplyphysics.laws.hydro.efflux_speed_via_height

.. 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:: height

    :attr:`~symplyphysics.symbols.classical_mechanics.height` of the fluid column above the orifice.

Symbol:
    :code:`h`

Latex:
    :math:`h`

Dimension:
    :code:`length`


.. py:data:: law

    :code:`u = sqrt(2 * g * h)`


    Latex:
        .. math::
            u = \sqrt{2 g h}