The formula to calculate the Prandtl Number (Pr) is:
\[ Pr = \frac{\nu}{\alpha} \]
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. Momentum Diffusivity most commonly refers to the diffusion, or spread of momentum between particles (atoms or molecules) of matter, often in the fluid state. Thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure.
Let's assume the following values:
Using the formula:
\[ Pr = \frac{4}{5.58} \approx 0.716845878136201 \]
The Prandtl Number is approximately 0.716845878136201.
| Momentum Diffusivity (Square Meter Per Second) | Thermal Diffusivity (Square Meter Per Second) | Prandtl Number |
|---|---|---|
| 3.5 | 5.58 | 0.627240143369176 |
| 3.6 | 5.58 | 0.645161290322581 |
| 3.7 | 5.58 | 0.663082437275986 |
| 3.8 | 5.58 | 0.681003584229391 |
| 3.9 | 5.58 | 0.698924731182796 |
| 4 | 5.58 | 0.716845878136201 |
| 4.1 | 5.58 | 0.734767025089606 |
| 4.2 | 5.58 | 0.752688172043011 |
| 4.3 | 5.58 | 0.770609318996416 |
| 4.4 | 5.58 | 0.788530465949821 |
| 4.5 | 5.58 | 0.806451612903225 |