Fractional volume change via small temperature change
=====================================================

Thermal expansion is the phenomenon when a body increases its dimensions in response to an increase
in temperature. For small temperature changes, the expansion coefficient is approximately constant
and the fractional change in the body's volume is proportional to the change in the body's temperature.

**Conditions:**

#. The temperature change :math:`\Delta T` is small enough for the expansion coefficient
   :math:`\alpha_V` to be constant.

**Links:**

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

..
    TODO move to `dynamics/deformations`?

.. py:currentmodule:: symplyphysics.laws.thermodynamics.fractional_volume_change_via_small_temperature_change

.. py:data:: fractional_volume_change

    Change in the body's :attr:`~symplyphysics.symbols.classical_mechanics.volume` divided by its initial volume. See :attr:`~symplyphysics.symbols.basic.fractional_change`.

Symbol:
    :code:`e_V`

Latex:
    :math:`e_{V}`

Dimension:
    :code:`dimensionless`


.. 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_change

    Change in body's :attr:`~symplyphysics.symbols.thermodynamics.temperature`.

Symbol:
    :code:`Delta(T)`

Latex:
    :math:`\Delta T`

Dimension:
    :code:`temperature`


.. py:data:: law

    :code:`e_V = alpha_V * Delta(T)`


    Latex:
        .. math::
            e_{V} = \alpha_{V} \Delta T