Inner pressure is sum of pressures
==================================

Inner pressure of an ideal fluid is the sum of static, dynamic, and hydrostatic
pressures at a chosen point in space.

**Conditions:**

#. The fluid is :ref:`ideal <ideal_fluid_def>`.

**Links:**

#. `Wikipedia, derivable from here <https://en.wikipedia.org/wiki/Bernoulli%27s_principle#Incompressible_flow_equation>`__.

.. py:currentmodule:: symplyphysics.laws.hydro.inner_pressure_is_sum_of_pressures

.. py:data:: inner_pressure

    Inner :attr:`~symplyphysics.symbols.classical_mechanics.pressure` of the fluid.

Symbol:
    :code:`p_inner`

Latex:
    :math:`p_\text{inner}`

Dimension:
    :code:`pressure`


.. py:data:: static_pressure

    Static :attr:`~symplyphysics.symbols.classical_mechanics.pressure` of the fluid.

Symbol:
    :code:`p_static`

Latex:
    :math:`p_\text{static}`

Dimension:
    :code:`pressure`


.. py:data:: dynamic_pressure

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

Symbol:
    :code:`q`

Latex:
    :math:`q`

Dimension:
    :code:`pressure`


.. 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:: law

    :code:`p_inner = p_static + q + p`


    Latex:
        .. math::
            p_\text{inner} = p_\text{static} + q + p