Water Steam Prandtl Number
Reference data and engineering information about water steam prandtl number for heat transfer applications.
watersteamPrandtlnumber
Overview
Engineering reference data for Water Steam Prandtl Number in heat transfer.
Key Formulas
Fourier's Law
Heat flux proportional to temperature gradient.
Convective Heat Transfer
Heat transfer between surface and fluid.
Stefan-Boltzmann Law
Radiative heat flux from a surface.
Thermal Resistance
Resistance to heat conduction.
Variables
| Symbol | Description | Unit |
|---|---|---|
| Heat flux | W/m² | |
| Thermal conductivity | W/(m·K) | |
| Convection coefficient | W/(m²·K) | |
| Temperature | K | |
| Emissivity | — | |
| Stefan-Boltzmann constant | 5.67×10⁻⁸ W/(m²·K⁴) |
Data Tables
18 rows
State | Temperature(K) | Temperature(°C) | Prandtl number(-) | Temperature(°F) | Prandtl number(-) |
|---|---|---|---|---|---|
| Liquid | 273 | 0 | 13.6 | 32 | 13.6 |
| 278 | 5 | 11.2 | 40 | 11.5 | |
| 283 | 10 | 9.46 | 50 | 9.46 | |
| 293 | 20 | 6.99 | 75 | 6.31 | |
| 298 | 25 | 6.13 | 100 | 4.56 | |
| 303 | 30 | 5.43 | 125 | 3.45 | |
| 323 | 50 | 3.56 | 150 | 2.74 | |
| 348 | 75 | 2.39 | 175 | 2.25 | |
| 373 | 100 | 1.76 | 200 | 1.88 | |
| Gas | 398 | 125 | 0.996 | 250 | 0.999 |
| 423 | 150 | 0.978 | 300 | 0.978 | |
| 448 | 175 | 0.965 | 350 | 0.964 | |
| 473 | 200 | 0.958 | 400 | 0.97 | |
| 523 | 250 | 0.947 | 500 | 0.945 | |
| 573 | 300 | 0.939 | 600 | 0.937 | |
| 623 | 350 | 0.932 | 700 | 0.93 | |
| 673 | 400 | 0.926 | 800 | 0.923 | |
| 773 | 500 | 0.916 | 1000 | 0.912 |
Source: engineeringtoolbox.com
30 rows
State | Temperature(K) | Temperature(°C) | Temperature(°F) | Pressure(bara) | Pressure(psia) | Prandtl number(-) |
|---|---|---|---|---|---|---|
| Liquid | 273.16 | 0.01 | 32.02 | 1 | 14.5 | 13.6 |
| 280 | 6.9 | 44.3 | 1 | 14.5 | 10.53 | |
| 300 | 26.9 | 80.3 | 1 | 14.5 | 5.856 | |
| 320 | 46.9 | 116 | 1 | 14.5 | 3.785 | |
| 340 | 66.9 | 152 | 1 | 14.5 | 2.687 | |
| 360 | 86.9 | 188 | 1 | 14.5 | 2.04 | |
| 372.756 | 99.61 | 211.3 | 1 | 14.5 | 1.76 | |
| Gas | 372.756 | 99.61 | 211.3 | 1 | 14.5 | 1.035 |
| 400 | 127 | 260 | 1 | 14.5 | 0.9938 | |
| 500 | 227 | 440 | 1 | 14.5 | 0.9512 | |
| 600 | 327 | 620 | 1 | 14.5 | 0.9354 | |
| 700 | 427 | 800 | 1 | 14.5 | 0.9231 | |
| 800 | 527 | 980 | 1 | 14.5 | 0.9132 | |
| 1000 | 727 | 1340 | 1 | 14.5 | 0.8992 | |
| Liquid | 273.16 | 0.01 | 32.02 | 10 | 145 | 13.55 |
| 300 | 26.9 | 80.3 | 10 | 145 | 5.847 | |
| 400 | 127 | 260 | 10 | 145 | 1.362 | |
| 453.028 | 179.9 | 355.8 | 10 | 145 | 0.9873 | |
| Gas | 453.028 | 179.9 | 355.8 | 10 | 145 | 1.167 |
| 600 | 327 | 620 | 10 | 145 | 0.9509 | |
| 800 | 527 | 980 | 10 | 145 | 0.9173 | |
| Liquid | 273.16 | 0.01 | 32.018 | 100 | 1450 | 13.12 |
| 300 | 26.9 | 80.3 | 100 | 1450 | 5.761 | |
| 400 | 127 | 260 | 100 | 1450 | 1.358 | |
| 550 | 277 | 530 | 100 | 1450 | 0.8366 | |
| 584.147 | 311 | 591.79 | 100 | 1450 | 0.9349 | |
| Gas | 584.147 | 311 | 591.79 | 100 | 1450 | 1.841 |
| 700 | 427 | 800 | 100 | 1450 | 1.058 | |
| 900 | 627 | 1160 | 100 | 1450 | 0.9251 | |
| 1200 | 927 | 1700 | 100 | 1450 | 0.8655 |
Source: engineeringtoolbox.com
Behavior Notes
The Prandtl number for water exhibits distinct behavior across its phases:
- Liquid Water: Pr values are significantly greater than 1 (typically 2-14), indicating that momentum diffuses more slowly than heat. The value decreases sharply with increasing temperature.
- Water Vapor (Gas): Pr values are close to 1 (typically 0.9-1.1), meaning momentum and thermal diffusivities are nearly equal. Values are relatively insensitive to temperature and pressure.
- A sharp discontinuity occurs at the phase change (boiling point), where the Prandtl number drops suddenly from a high liquid value to a lower gaseous value.
Related Properties
For comprehensive calculations, refer to the following water properties:
- Density and Specific Weight
- Dynamic and Kinematic Viscosity
- Specific Heat (Heat Capacity)
- Thermal Conductivity
- Saturation Pressure and Boiling Points