Water - Prandtl Number vs. Temperature and Pressure
Figures and tables with Prandtl Number of liquid and gaseous water at varying temperarure and pressure, SI and Imperial units.
The Prandtl Number - Pr - is a dimensionless number approximating the ratio of momentum diffusivity (kinematic viscosity) to thermal diffusivity - and is often used in heat transfer and free and forced convection calculations.
The Prandtl number can for calculations be expressed as
Pr = μ cp / k (1)
where
μ = absolute or dynamic viscosity [kg/(m s)], [lbm /(ft h)]
cp = specific heat [J/(kg K)], [Btu/(lbm oF)]
k = thermal conductivity [W/(m K)], [Btu/(h ft2oF/ft)]
Below, Prandtl numbers of water at varying temperatures and 1, 10 and 100 bara (14.5, 145 and 1450 psia) are given in figures and tables .
See also other properties of Water at varying temperature and pressure : Boiling points at high pressure , Boiling points at vacuum pressure , Density and specific weight , Dynamic and kinematic viscosity , Enthalpy and entropy , Heat of vaporization , Ionization Constant, pKw , of normal and heavy water , Melting points at high pressure , Properties at Gas-Liquid Equilibrium Conditions , Saturation pressure , Specific gravity , Specific heat (heat capacity) , Specific volume , Thermal conductivity , Thermal diffusivity and Vapour pressure at gas-liquid equilibrium , and Thermophysical properties at standard conditions ,
as well as Prandtl number of Air , Ammonia , Carbon dioxide , Methane , Nitrogen and Propane .
Prandtl number of water at 1 bara pressure, varying temperature given as °C or °F:
Prandtl number of water at 1, 10 and 100 bara (14.5, 145 and 1450 psia), varying temperature given as °C or °F:
Prandtl number of water at atmospheric pressure, temperature given as K, °C or °F:
State | Temperature | Prandtl number | Temperature | Prandtl number | |||
---|---|---|---|---|---|---|---|
[K] | [°C] | [-] | [K] | [°F] | [-] | ||
Liquid | 273 | 0 | 13.6 | 273 | 32 | 13.6 | |
278 | 5 | 11.2 | 278 | 40 | 11.5 | ||
283 | 10 | 9.46 | 283 | 50 | 9.46 | ||
293 | 20 | 6.99 | 297 | 75 | 6.31 | ||
298 | 25 | 6.13 | 311 | 100 | 4.56 | ||
303 | 30 | 5.43 | 325 | 125 | 3.45 | ||
323 | 50 | 3.56 | 339 | 150 | 2.74 | ||
348 | 75 | 2.39 | 353 | 175 | 2.25 | ||
373 | 100 | 1.76 | 366 | 200 | 1.88 | ||
Gas | 373 | 100 | 1.03 | 394 | 250 | 0.999 | |
398 | 125 | 0.996 | 422 | 300 | 0.978 | ||
423 | 150 | 0.978 | 450 | 350 | 0.964 | ||
448 | 175 | 0.965 | 478 | 400 | 0.970 | ||
473 | 200 | 0.958 | 533 | 500 | 0.945 | ||
523 | 250 | 0.947 | 589 | 600 | 0.937 | ||
573 | 300 | 0.939 | 644 | 700 | 0.930 | ||
623 | 350 | 0.932 | 700 | 800 | 0.923 | ||
673 | 400 | 0.926 | 755 | 900 | 0.917 | ||
773 | 500 | 0.916 | 811 | 1000 | 0.912 |
Prandtl number of water at given temperatures and 1, 10 and 100 bara (14.5, 145 and 1450 psia):
State | Temperature | Pressure | Prandtl number | |||
---|---|---|---|---|---|---|
[K] | [°C] | [°F] | [bara] | [psia] | [-] | |
Liquid | 273.16 | 0.01 | 32.02 | 1 | 14.5 | 13.60 |
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 | 2.040 | |
372.756 | 99.61 | 211.3 | 1 | 14.5 | 1.760 | |
Gas | 372.756 | 99.61 | 211.3 | 1 | 14.5 | 1.035 |
380 | 107 | 224 | 1 | 14.5 | 1.020 | |
400 | 127 | 260 | 1 | 14.5 | 0.9938 | |
450 | 177 | 350 | 1 | 14.5 | 0.9644 | |
500 | 227 | 440 | 1 | 14.5 | 0.9512 | |
550 | 277 | 530 | 1 | 14.5 | 0.9425 | |
600 | 327 | 620 | 1 | 14.5 | 0.9354 | |
650 | 377 | 710 | 1 | 14.5 | 0.9289 | |
700 | 427 | 800 | 1 | 14.5 | 0.9231 | |
750 | 477 | 890 | 1 | 14.5 | 0.9179 | |
800 | 527 | 980 | 1 | 14.5 | 0.9132 | |
900 | 627 | 1160 | 1 | 14.5 | 0.9053 | |
1000 | 727 | 1340 | 1 | 14.5 | 0.8992 | |
1100 | 827 | 1520 | 1 | 14.5 | 0.8942 | |
1200 | 927 | 1700 | 1 | 14.5 | 0.8897 | |
Liquid | 273.16 | 0.01 | 32.02 | 10 | 145 | 13.55 |
280 | 6.9 | 44.3 | 10 | 145 | 10.50 | |
300 | 26.9 | 80.3 | 10 | 145 | 5.847 | |
320 | 46.9 | 116 | 10 | 145 | 3.781 | |
340 | 66.9 | 152 | 10 | 145 | 2.685 | |
360 | 86.9 | 188 | 10 | 145 | 2.040 | |
380 | 107 | 224 | 10 | 145 | 1.632 | |
400 | 127 | 260 | 10 | 145 | 1.362 | |
450 | 177 | 350 | 10 | 145 | 1.000 | |
453.028 | 179.9 | 355.8 | 10 | 145 | 0.9873 | |
Gas | 453.028 | 179.9 | 355.8 | 10 | 145 | 1.167 |
500 | 227 | 440 | 10 | 145 | 1.010 | |
550 | 277 | 530 | 10 | 145 | 0.9694 | |
600 | 327 | 620 | 10 | 145 | 0.9509 | |
650 | 377 | 710 | 10 | 145 | 0.9395 | |
700 | 427 | 800 | 10 | 145 | 0.9308 | |
750 | 477 | 890 | 10 | 145 | 0.9235 | |
800 | 527 | 980 | 10 | 145 | 0.9173 | |
900 | 627 | 1160 | 10 | 145 | 0.9069 | |
1000 | 727 | 1340 | 10 | 145 | 0.8990 | |
1100 | 827 | 1520 | 10 | 145 | 0.8928 | |
1200 | 927 | 1700 | 10 | 145 | 0.8875 | |
Liquid | 273.16 | 0.01 | 32.018 | 100 | 1450 | 13.12 |
280 | 6.9 | 44.3 | 100 | 1450 | 10.23 | |
300 | 26.9 | 80.3 | 100 | 1450 | 5.761 | |
320 | 46.9 | 116 | 100 | 1450 | 3.746 | |
340 | 66.9 | 152 | 100 | 1450 | 2.669 | |
360 | 86.9 | 188 | 100 | 1450 | 2.030 | |
380 | 107 | 224 | 100 | 1450 | 1.626 | |
400 | 127 | 260 | 100 | 1450 | 1.358 | |
450 | 177 | 350 | 100 | 1450 | 0.9967 | |
500 | 227 | 440 | 100 | 1450 | 0.8531 | |
550 | 277 | 530 | 100 | 1450 | 0.8366 | |
584.147 | 311.00 | 591.79 | 100 | 1450 | 0.9349 | |
Gas | 584.147 | 311.00 | 591.79 | 100 | 1450 | 1.841 |
600 | 327 | 620 | 100 | 1450 | 1.494 | |
650 | 377 | 710 | 100 | 1450 | 1.168 | |
700 | 427 | 800 | 100 | 1450 | 1.058 | |
750 | 477 | 890 | 100 | 1450 | 1.003 | |
800 | 527 | 980 | 100 | 1450 | 0.9686 | |
900 | 627 | 1160 | 100 | 1450 | 0.9251 | |
1000 | 727 | 1340 | 100 | 1450 | 0.8977 | |
1100 | 827 | 1520 | 100 | 1450 | 0.8789 | |
1200 | 927 | 1700 | 100 | 1450 | 0.8655 |
Related Topics
-
Fluid Mechanics
The study of fluids - liquids and gases. Involving velocity, pressure, density and temperature as functions of space and time. -
Material Properties
Properties of gases, fluids and solids. Densities, specific heats, viscosities and more. -
Steam and Condensate
Design of steam & condensate systems with properties, capacities, sizing of pipe lines, system configuration and more. -
Thermodynamics
Calculate heat, work, temperature and energy. The thermodynamics of steam and condensate systems. Water and Ice properties. -
Thermodynamics
Work, heat and energy systems. -
Water Systems
Design of hot and cold water service and utility systems with properties, capacities, sizing of pipe lines and more.
Related Documents
-
Nitrogen - Prandtl number vs. Temperature and Pressure
Figures and tables showing Prandtl number of nitrogen at varying temperarure and pressure, SI and Imperial units. -
Propane - Prandtl Number vs. Temperature and Pressure
Figures and tables with Prandtl Number of liquid and gaseous propane at varying temperarure and pressure, SI and Imperial units. -
Propane - Thermal Diffusivity vs. Temperature and Pressure
Figures and tables showing thermal diffusivity of liquid and gaseous propane at varying temperarure and pressure, SI and Imperial units. -
Water - Properties at Gas-Liquid Equilibrium Conditions
Figures and tables showing how the properties of water changes along the boiling/condensation curve (vapor pressure, density, viscosity, thermal conductivity, specific heat, Prandtl number, thermal diffusivity, entropy and enthalpy).