Prandtl number via dynamic viscosity and thermal conductivity
=============================================================

*Prandtl number* is a dimensionless quantity defined as the ratio of kinetic viscosity
(momentum diffusivity) to thermal diffusivity. It can also be expressed using dynamic viscosity
and thermal conductivity.

**Links:**

#. `Wikipedia, last formula within the box <https://en.wikipedia.org/wiki/Prandtl_number>`__.

.. py:currentmodule:: symplyphysics.laws.thermodynamics.prandtl_number_via_dynamic_viscosity_and_thermal_conductivity

.. py:data:: prandtl_number

    :attr:`~symplyphysics.symbols.thermodynamics.prandtl_number` of the fluid.

Symbol:
    :code:`Pr`

Latex:
    :math:`\text{Pr}`

Dimension:
    :code:`dimensionless`


.. py:data:: isobaric_specific_heat_capacity

    :attr:`~symplyphysics.symbols.thermodynamics.heat_capacity` at constant :attr:`~symplyphysics.symbols.classical_mechanics.pressure` per unit :attr:`~symplyphysics.symbols.basic.mass`.

Symbol:
    :code:`c_p`

Latex:
    :math:`c_{p}`

Dimension:
    :code:`energy/(mass*temperature)`


.. py:data:: dynamic_viscosity

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

Symbol:
    :code:`mu`

Latex:
    :math:`\mu`

Dimension:
    :code:`pressure*time`


.. py:data:: thermal_conductivity

    :attr:`~symplyphysics.symbols.thermodynamics.thermal_conductivity` of the fluid.

Symbol:
    :code:`k`

Latex:
    :math:`k`

Dimension:
    :code:`power/(length*temperature)`


.. py:data:: law

    :code:`Pr = c_p * mu / k`


    Latex:
        .. math::
            \text{Pr} = \frac{c_{p} \mu}{k}