Nitrogen - Prandtl number vs. Temperature and Pressure
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 nitrogen at varying temperatures and saturation pressure, as well as 1, 10 and 100 bara (14.5, 145 and 1450 psia) are given in figures and tables .
See also other properties of Nitrogen at varying temperature and pressure : Density and specific weight , Dynamic and kinematic viscosity , Specific heat (Heat capacity) , Thermal conductivity and thermal diffusivity , and thermophysical properties at standard conditions ,
as well as Prandtl number of Air , Ammonia , Carbon dioxide , Methane , Propane and Water .
Prandtl number of nitrogen at gas-liquid equilibrium pressure, varying temperature given as °C or °F:
Prandtl number of nitrogen at 1, 10 and 100 bara (14.5, 145 and 1450 psia), varying temperature given as °C or °F:
Prandtl number of nitrogen at atmospheric pressure, temperature given as K, °C or °F:
| Temperature | Prandtl number | Temperature | Prandtl number | |||
|---|---|---|---|---|---|---|
| [K] | [°C] | [-] | [K] | [°F] | [-] | |
| 78 | -195 | 0.847 | 78 | -320 | 0.849 | |
| 98 | -175 | 0.799 | 89 | -300 | 0.818 | |
| 123 | -150 | 0.769 | 116 | -250 | 0.775 | |
| 148 | -125 | 0.755 | 144 | -200 | 0.757 | |
| 173 | -100 | 0.746 | 172 | -150 | 0.746 | |
| 198 | -75 | 0.738 | 200 | -100 | 0.737 | |
| 223 | -50 | 0.731 | 228 | -50 | 0.730 | |
| 231 | -42 | 0.729 | 231 | -44 | 0.729 | |
| 248 | -25 | 0.726 | 244 | -20 | 0.726 | |
| 263 | -10 | 0.723 | 255 | 0 | 0.724 | |
| 268 | -5 | 0.722 | 266 | 20 | 0.723 | |
| 278 | 5 | 0.721 | 278 | 40 | 0.721 | |
| 283 | 10 | 0.720 | 283 | 50 | 0.720 | |
| 293 | 20 | 0.719 | 294 | 70 | 0.719 | |
| 298 | 25 | 0.718 | 300 | 80 | 0.718 | |
| 303 | 30 | 0.718 | 305 | 90 | 0.717 | |
| 323 | 50 | 0.714 | 311 | 100 | 0.716 | |
| 348 | 75 | 0.712 | 339 | 150 | 0.714 | |
| 373 | 100 | 0.710 | 366 | 200 | 0.710 | |
| 398 | 125 | 0.707 | 394 | 250 | 0.708 | |
| 423 | 150 | 0.706 | 422 | 300 | 0.706 | |
| 448 | 175 | 0.705 | 478 | 400 | 0.705 | |
| 473 | 200 | 0.705 | 533 | 500 | 0.706 | |
| 573 | 300 | 0.708 | 644 | 700 | 0.712 | |
| 623 | 350 | 0.711 | 700 | 800 | 0.717 | |
| 673 | 400 | 0.714 | 755 | 900 | 0.721 | |
| 773 | 500 | 0.723 | 811 | 1000 | 0.726 | |
Prandtl number of nitrogen at given temperatures and pressures:
| State | Temperature | Pressure | Prandtl number | |||
|---|---|---|---|---|---|---|
| [K] | [°C] | [°F] | [bara] | [psia] | [-] | |
| Liquid at equilibrium |
63.15 | -210.0 | -346.0 | 0.125 | 1.82 | 3.598 |
| 69 | -204 | -335 | 0.332 | 4.82 | 2.876 | |
| 75 | -198 | -325 | 0.760 | 11.0 | 2.402 | |
| 79 | -194 | -317 | 1.22 | 17.8 | 2.183 | |
| 85 | -188 | -307 | 2.29 | 33.2 | 1.956 | |
| 89 | -184 | -299 | 3.31 | 47.9 | 1.857 | |
| 95 | -178 | -289 | 5.41 | 78.4 | 1.771 | |
| 99 | -174 | -281 | 7.26 | 105 | 1.762 | |
| 105 | -168 | -271 | 10.8 | 157 | 1.793 | |
| 109 | -164 | -263 | 13.8 | 201 | 1.878 | |
| 115 | -158 | -253 | 19.4 | 281 | 2.170 | |
| 121 | -152 | -242 | 26.4 | 383 | 3.113 | |
| Gas at equilibrium |
63.15 | -210.0 | -346.0 | 0.125 | 1.82 | 0.8240 |
| 69 | -204 | -335 | 0.332 | 4.82 | 0.8295 | |
| 75 | -198 | -325 | 0.760 | 11.0 | 0.8433 | |
| 79 | -194 | -317 | 1.22 | 17.8 | 0.8578 | |
| 85 | -188 | -307 | 2.29 | 33.2 | 0.8887 | |
| 89 | -184 | -299 | 3.31 | 47.9 | 0.9168 | |
| 95 | -178 | -289 | 5.41 | 78.4 | 0.9738 | |
| 99 | -174 | -281 | 7.26 | 105 | 1.025 | |
| 105 | -168 | -271 | 10.8 | 157 | 1.136 | |
| 109 | -164 | -263 | 13.8 | 201 | 1.249 | |
| 115 | -158 | -253 | 19.4 | 281 | 1.565 | |
| 121 | -152 | -242 | 26.4 | 383 | 2.553 | |
| Liquid | 63.17 | -210.0 | -346.0 | 1 | 14.5 | 3.596 |
| 77.24 | -195.9 | -320.6 | 1 | 14.5 | 2.272 | |
| Gas | 77.24 | -195.9 | -320.6 | 1 | 14.5 | 0.8508 |
| 80 | -193 | -316 | 1 | 14.5 | 0.8401 | |
| 100 | -173 | -280 | 1 | 14.5 | 0.7944 | |
| 120 | -153 | -244 | 1 | 14.5 | 0.7732 | |
| 140 | -133 | -208 | 1 | 14.5 | 0.7593 | |
| 160 | -113 | -172 | 1 | 14.5 | 0.7503 | |
| 180 | -93.2 | -136 | 1 | 14.5 | 0.7430 | |
| 200 | -73.2 | -100 | 1 | 14.5 | 0.7366 | |
| 220 | -53.2 | -63.7 | 1 | 14.5 | 0.7322 | |
| 240 | -33.2 | -27.7 | 1 | 14.5 | 0.7277 | |
| 260 | -13.2 | 8.3 | 1 | 14.5 | 0.7241 | |
| 280 | 6.9 | 44.3 | 1 | 14.5 | 0.7203 | |
| 300 | 26.9 | 80.3 | 1 | 14.5 | 0.7171 | |
| 320 | 46.9 | 116 | 1 | 14.5 | 0.7152 | |
| 340 | 66.9 | 152 | 1 | 14.5 | 0.7123 | |
| 360 | 86.9 | 188 | 1 | 14.5 | 0.7109 | |
| 400 | 127 | 260 | 1 | 14.5 | 0.7074 | |
| 500 | 227 | 440 | 1 | 14.5 | 0.7049 | |
| 600 | 327 | 620 | 1 | 14.5 | 0.7092 | |
| 700 | 427 | 800 | 1 | 14.5 | 0.7165 | |
| 800 | 527 | 980 | 1 | 14.5 | 0.7254 | |
| 900 | 627 | 1160 | 1 | 14.5 | 0.7343 | |
| 1000 | 727 | 1340 | 1 | 14.5 | 0.7417 | |
| Liquid | 63.37 | -210 | -346 | 10 | 145 | 3.583 |
| 80 | -193 | -316 | 10 | 145 | 2.143 | |
| 100 | -173 | -280 | 10 | 145 | 1.747 | |
| 103.8 | -169.4 | -273 | 10 | 145 | 1.777 | |
| Gas | 103.8 | -169.4 | -273 | 10 | 145 | 1.109 |
| 140.0 | -133.2 | -208 | 10 | 145 | 0.8276 | |
| 160 | -113 | -172 | 10 | 145 | 0.7918 | |
| 180 | -93.2 | -136 | 10 | 145 | 0.7715 | |
| 200 | -73.2 | -100 | 10 | 145 | 0.7574 | |
| 240 | -33.2 | -28 | 10 | 145 | 0.7391 | |
| 300 | 26.9 | 80.3 | 10 | 145 | 0.7234 | |
| 400 | 127 | 260 | 10 | 145 | 0.7097 | |
| 500 | 227 | 440 | 10 | 145 | 0.7067 | |
| 600 | 327 | 620 | 10 | 145 | 0.7098 | |
| 800 | 527 | 980 | 10 | 145 | 0.7258 | |
| 1100 | 827 | 1520 | 10 | 145 | 0.7485 | |
| 1600 | 1327 | 2420 | 10 | 145 | 0.7658 | |
| Liquid | 100 | -173 | -280 | 50 | 725 | 1.670 |
| Supercritical phase |
600 | 327 | 620 | 50 | 725 | 0.7113 |
| 1100 | 827 | 1520 | 50 | 725 | 0.7480 | |
| 1600 | 1327 | 2420 | 50 | 725 | 0.7652 | |
| Liquid | 65.32 | -208 | -342 | 100 | 1450 | 3.466 |
| 80 | -193 | -316 | 100 | 1450 | 2.202 | |
| 100 | -173 | -280 | 100 | 1450 | 1.634 | |
| Supercritical phase | 200 | -73.2 | -100 | 100 | 1450 | 0.9808 |
| 300 | 26.9 | 80.3 | 100 | 1450 | 0.7660 | |
| 400 | 127 | 260 | 100 | 1450 | 0.7237 | |
| 500 | 227 | 440 | 100 | 1450 | 0.7115 | |
| 600 | 327 | 620 | 100 | 1450 | 0.7114 | |
| 1100 | 827 | 1520 | 100 | 1450 | 0.7468 | |
| 1600 | 1327 | 2420 | 100 | 1450 | 0.7630 | |
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