Prandtl Number Calculator

Calculate Prandtl Number







Formula

The formula to calculate the Prandtl Number (Pr) is:

\[ Pr = \frac{c \cdot \mu_{\text{viscosity}}}{k} \]

Definition

Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

Example Calculation

Let's assume the following values:

Using the formula:

\[ Pr = \frac{4184 \cdot 1.02}{6000} \approx 0.71128 \]

The Prandtl Number is approximately 0.71128.

Conversion Chart

Specific Heat Capacity (J/kg·K) Prandtl Number
4000 0.68000
4050 0.68850
4100 0.69700
4150 0.70550
4200 0.71400
4250 0.72250
4300 0.73100