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# Nitrogen - Prandtl number vs. Temperature and Pressure

## Figures and tables showing Prandtl number of nitrogen 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 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, 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

## Related Topics

• Fluid Mechanics - The study of fluids - liquids and gases. Involves velocity, pressure, density and temperature as functions of space and time
• Material Properties - Material properties for gases, fluids and solids - densities, specific heats, viscosities and more
• Thermodynamics - Effects of work, heat and energy on systems

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