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Water viscosity calculator

Calculate saturated-liquid water viscosity and density, with common laboratory unit equivalents.

Calculator

Dynamic viscosity (Pa s)
0.00100163
Dynamic viscosity (cP)
1.00162918
Kinematic viscosity (m2/s)
0.00000100
Kinematic viscosity (cSt)
1.00347754
Saturated-liquid density
998.158
Saturated pure-water properties
Temperature (C)Dynamic viscosity (mPa s)Kinematic viscosity (mm2/s)Density (kg/m3)
0.000000001.791997141.79237632999.78845195
10.000000001.305996041.30645124999.65157348
20.000000001.001629181.00347754998.15805229
30.000000000.797223980.80074566995.60200195
40.000000000.652715620.65786642992.17045353
50.000000000.546495890.55313862987.99084915
60.000000000.466012220.47399706983.15425124
70.000000000.403526370.41271860977.72760496
80.000000000.354032930.36432105971.76083518
90.000000000.314164440.32546076965.29130713
100.000000000.281580710.29381922958.34679628

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How this calculator works

The IAPWS 2008 viscosity equation combines dilute-gas and finite-density terms. The density input comes from the IAPWS 1992 saturated-liquid density relation. Critical enhancement is omitted far below the critical temperature. These values describe pure liquid water on the saturation curve from approximately 0 to 100 C; the 0 C endpoint is a tiny extension below the triple point. Near room temperature they closely approximate ordinary low-pressure water, but they are not high-pressure or salt-water properties. A table shows the temperature trend.

Formula

mu = mu_reference mu0(T/647.096) mu1(T/647.096,rho/322), with mu_reference = 1 micropascal second. nu = mu/rho; cP = 1000 mu_Pa_s; cSt = 1000000 nu_m2_s.

Worked example

At 20 C the model gives about 998.16 kg/m3 density and 1.0016 mPa s dynamic viscosity. Near 100 C viscosity falls to about 0.2816 mPa s.

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Frequently asked questions

Are cP and mPa s equal?

Yes. One centipoise equals one millipascal second.

Why is kinematic viscosity a different quantity?

It divides dynamic viscosity by density and has units of area per time.

Does this cover steam?

No. This page restricts the calculation to the saturated liquid branch between 0 and 100 C.

Sources

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