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:

  1. Wikipedia, last formula within the box.

isobaric_specific_heat_capacity

Heat capacity at constant pressure per unit mass.

Symbol:

c_p

Latex:

\(c_p\)

dynamic_viscosity

Dynamic viscosity of the fluid.

Symbol:

mu

Latex:

\(\mu\)

thermal_conductivity

Thermal conductivity of the fluid.

Symbol:

k

prandtl_number

Prandtl number of the fluid.

Symbol:

Pr

Latex:

\(\text{Pr}\)

law

Pr = c_p * mu / k

Latex:
\[\text{Pr} = \frac{c_p \mu}{k}\]