Dynamic viscosity of gas from temperature
=========================================

Viscosity is a phenomenon of molecular transport, the property of fluid bodies (liquids and gases)
to resist the movement of one part of them relative to another. As a result, the macroscopic work
expended on this movement is dissipated as heat. Unlike liquids, the viscosity of gases increases
with increasing temperature, whereas for liquids it decreases with increasing temperature.

**Conditions:**

#. The gas is ideal.

**Links:**

#. `Sutherland model <https://en.wikipedia.org/wiki/Temperature_dependence_of_viscosity#Sutherland_model>`__.

..
    TODO Rename file

.. py:currentmodule:: symplyphysics.laws.thermodynamics.dynamic_viscosity_of_gas_from_control_viscosity_and_temperature

.. py:data:: dynamic_viscosity

    :attr:`~symplyphysics.symbols.classical_mechanics.dynamic_viscosity` of the gas at the given :attr:`~temperature`.

Symbol:
    :code:`mu`

Latex:
    :math:`\mu`

Dimension:
    :code:`pressure*time`


.. py:data:: reference_dynamic_viscosity

    :attr:`~symplyphysics.symbols.classical_mechanics.dynamic_viscosity` of the gas at the :attr:`~reference_temperature`.

Symbol:
    :code:`mu_0`

Latex:
    :math:`mu_{0}`

Dimension:
    :code:`pressure*time`


.. py:data:: temperature

    :attr:`~symplyphysics.symbols.thermodynamics.temperature` at which the viscosity value is calculated.

Symbol:
    :code:`T`

Latex:
    :math:`T`

Dimension:
    :code:`temperature`


.. py:data:: reference_temperature

    :attr:`~symplyphysics.symbols.thermodynamics.temperature` at which the reference viscosity value is calculated.

Symbol:
    :code:`T_0`

Latex:
    :math:`T_{0}`

Dimension:
    :code:`temperature`


.. py:data:: sutherland_constant

    :attr:`~symplyphysics.symbols.thermodynamics.sutherland_constant` of the gas.

Symbol:
    :code:`S`

Latex:
    :math:`S`

Dimension:
    :code:`temperature`


.. py:data:: law

    :code:`mu = mu_0 * (T_0 + S) / (T + S) * (T / T_0)^(3/2)`


    Latex:
        .. math::
            \mu = mu_{0} \frac{T_{0} + S}{T + S} \left(\frac{T}{T_{0}}\right)^{\frac{3}{2}}