Water - Prandtl Number vs. Temperature and Pressure

Calculate the Prandtl number of water at varying temperatures and pressures. The Prandtl number (Pr) is a dimensionless number approximating the ratio of momentum diffusivity (kinematic viscosity) to thermal diffusivity, commonly used in heat transfer and convection calculations. Formula: Pr = μ cp / k, where μ is dynamic viscosity, cp is specific heat, and k is thermal conductivity.

StateTemperature (K)Temperature (°C)Temperature (°F)Pressure (bara)Pressure (psia)Prandtl Number (-)
Liquid273.160.0132.02114.513.6
Liquid2806.944.3114.510.53
Liquid30026.980.3114.55.856
Liquid32046.9116114.53.785
Liquid34066.9152114.52.687
Liquid36086.9188114.52.04
Liquid372.75699.61211.3114.51.76
Gas372.75699.61211.3114.51.035
Gas380107224114.51.02
Gas400127260114.50.9938
Gas450177350114.50.9644
Gas500227440114.50.9512
Gas550277530114.50.9425
Gas600327620114.50.9354
Gas650377710114.50.9289
Gas700427800114.50.9231
Gas750477890114.50.9179
Gas800527980114.50.9132
Gas9006271160114.50.9053
Gas10007271340114.50.8992
Gas11008271520114.50.8942
Gas12009271700114.50.8897
Liquid273.160.0132.021014513.55
Liquid2806.944.31014510.5
Liquid30026.980.3101455.847
Liquid32046.9116101453.781
Liquid34066.9152101452.685
Liquid36086.9188101452.04
Liquid380107224101451.632
Liquid400127260101451.362
Liquid450177350101451
Liquid453.028179.9355.8101450.9873
Gas453.028179.9355.8101451.167
Gas500227440101451.01
Gas550277530101450.9694
Gas600327620101450.9509
Gas650377710101450.9395
Gas700427800101450.9308
Gas750477890101450.9235
Gas800527980101450.9173
Gas9006271160101450.9069
Gas10007271340101450.899
Gas11008271520101450.8928
Gas12009271700101450.8875
Liquid273.160.0132.018100145013.12
Liquid2806.944.3100145010.23
Liquid30026.980.310014505.761
Liquid32046.911610014503.746
Liquid34066.915210014502.669
Liquid36086.918810014502.03
Liquid38010722410014501.626
Liquid40012726010014501.358
Liquid45017735010014500.9967
Liquid50022744010014500.8531
Liquid55027753010014500.8366
Liquid584.147311591.7910014500.9349
Gas584.147311591.7910014501.841
Gas60032762010014501.494
Gas65037771010014501.168
Gas70042780010014501.058
Gas75047789010014501.003
Gas80052798010014500.9686
Gas900627116010014500.9251
Gas1000727134010014500.8977
Gas1100827152010014500.8789
Gas1200927170010014500.8655