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:
- prandtl_number¶
prandtl_number
of the fluid.
- Symbol:
Pr
- Latex:
\(\text{Pr}\)
- Dimension:
dimensionless
- isobaric_specific_heat_capacity¶
heat_capacity
at constantpressure
per unitmass
.
- 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:
- \[\text{Pr} = \frac{c_{p} \mu}{k}\]