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 _* c_p / k                           (1)

where
μ = absolute or dynamic viscosity [kg/(m s)], [lb_m/(ft h)]
c_p = specific heat [J/(kg K)], [Btu/(lb_m ^oF)]
k = thermal conductivity [W/(m K)], [Btu/(h ft^{2 o}F/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:

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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:


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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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