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Nitrogen - Prandtl number

Figures and tables showing Prandtl number of nitrogen at varying temperarure and pressure, SI and Imperial units

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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 ft2 oF/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.

Nitrogen phase diagram

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:

Nitrogen Prandtl no equilibrium C
Nitrogen Prandtl no equilibrium F

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Prandtl number of nitrogen at 1, 10 and 100 bara (14.5, 145 and 1450 psia), varying temperature given as °C or °F:

Nitrogen Prandtl no pressure C
Nitrogen Prandtl no pressure FBack to top

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

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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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