Volumetric coefficient of thermal expansion
===========================================

The *coefficient of thermal expansion* describes how the size of an object changes with a change in temperature
at constant pressure.

**Conditions:**

#. Pressure must be constant during the expansion process.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Thermal_expansion#Length>`__.

..
    TODO add pressure symbol below and in the volume function arguments

.. py:currentmodule:: symplyphysics.definitions.volumetric_coefficient_of_thermal_expansion

.. py:data:: volumetric_expansion_coefficient

    Volumetric :attr:`~symplyphysics.symbols.thermodynamics.thermal_expansion_coefficient`.

Symbol:
    :code:`alpha_V`

Latex:
    :math:`\alpha_{V}`

Dimension:
    :code:`1/temperature`


.. py:data:: temperature

    :attr:`~symplyphysics.symbols.thermodynamics.temperature` of the body.

Symbol:
    :code:`T`

Latex:
    :math:`T`

Dimension:
    :code:`temperature`


.. py:data:: parameters

    Parameters other than :attr:`~temperature` on which the volume function depends.

Symbol:
    :code:`q`

Latex:
    :math:`q`

Dimension:
    :code:`any_dimension`


.. py:data:: volume

    :attr:`~symplyphysics.symbols.classical_mechanics.volume` of the body as a function of :attr:`~temperature` and :attr:`~parameters`.

Symbol:
    :code:`V(T, q)`

Latex:
    :math:`V{\left(T,q \right)}`

Dimension:
    :code:`volume`


.. py:data:: definition

    :code:`alpha_V = Derivative(V(T, q), T) / V(T, q)`


    Latex:
        .. math::
            \alpha_{V} = \frac{\frac{\partial}{\partial T} V{\left(T,q \right)}}{V{\left(T,q \right)}}