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Water Thermodynamic Properties

Posted by Syeilendra Pramuditya on August 20, 2011

See also: Liquid Sodium Thermodynamic and Transport Properties

There are many empirical and analytical correlations have been developed for thermodynamic properties of water. These correlations generally can be found from scientific papers as well as text books.

Correlations presented in this article are polynomial fit to data obtained from XSteam library for Matlab. XSteam itself is a kind of digital library of water properties based on the International Association for Properties of Water and Steam Industrial Formulation 1997 (IAPWS IF-97). These polynomial correlations are meant to be used in computer codes, and they are valid under the following conditions:

p=\textrm{1 bar}

5\;C \leq T \leq 95\;C

or equivalently:

278.15\;K \leq T \leq 368.15\;K


Water density as a function of temperature (p = 1 bar)

Polynomial fit:

\rho(T)={1001.1-0.0867T-0.0035T^2} (T in Celcius, unit is kg/m3)

\rho(T)={765.33+1.8142T-0.0035T^2} (T in Kelvin, unit is kg/m3)


Water specific heat capacity as a function of temperature (p = 1 bar)

Polynomial fit:

C_p(T)={4.214-2.286\times10^{-3}T+4.991\times10^{-5}T^2-4.519\times10^{-7}T^3+1.857\times10^{-9}T^4} (T in Celcius, unit is kJ/kg.C)

C_p(T)={28.07-0.2817T+1.25\times10^{-3}T^2-2.48\times10^{-6}T^3+1.857\times10^{-9}T^4} (T in Kelvin, unit is kJ/kg.K)


Water thermal conductivity as a function of temperature (p = 1 bar)

Polynomial fit:

k(T)={0.5636+1.946\times10^{-3}T-8.151\times10^{-6}T^2} (T in Celcius, unit is W/m.C)

k(T)={-0.5752+6.397\times10^{-3}T-8.151\times10^{-6}T^2} (T in Kelvin, unit is W/m.K)


Water dynamic viscosity as a function of temperature (p = 1 bar)

Polynomial fit:

\mu(T)={1.684\times10^{-3}-4.264\times10^{-5}T+5.062\times10^{-7}T^2-2.244\times10^{-9}T^3} (T in Celcius, unit is Pa.s)

\mu(T)={9.67\times10^{-2}-8.207\times10^{-4}T+2.344\times10^{-6}T^2-2.244\times10^{-9}T^3} (T in Kelvin, unit is Pa.s)


Water volumetric thermal expansion coefficient as a function of temperature (p = 1 bar)

The volumetric thermal expansion coefficient is evaluated from the density equation, as described in this article.

Polynomial fit:

\beta(T)=7.957\times10^{-5}+7.315\times10^{-6}T (T in Celcius, unit is /C)

\beta(T)=-1.908\times10^{-3}+7.318\times10^{-6}T (T in Kelvin, unit is /K)


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One Response to “Water Thermodynamic Properties”

  1. I’m sure this will be useful to someone. That’s cool of you to post it.

    Syeilendra said..
    Glad to know that my post might be useful to somebody, thanks! :)

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