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.

prandtl_number

prandtl_number of the fluid.

Symbol:

Pr

Latex:

\(\text{Pr}\)

Dimension:

dimensionless

isobaric_specific_heat_capacity

heat_capacity at constant pressure per unit mass.

Symbol:

c_p

Latex:

\(c_{p}\)

Dimension:

energy/(mass*temperature)

dynamic_viscosity

dynamic_viscosity of the fluid.

Symbol:

mu

Latex:

\(\mu\)

Dimension:

pressure*time

thermal_conductivity

thermal_conductivity of the fluid.

Symbol:

k

Latex:

\(k\)

Dimension:

power/(length*temperature)

law

Pr = c_p * mu / k

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