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Nigmatulin R.I., Bolotnova R.Kh. Equation of state for liquid water Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 4 (2006). 186–199.
2006. Vol. 4. Issue 1, Pp. 186–199
DOI: 10.21662/uim2006.1.017
Equation of state for liquid water
Nigmatulin R.I., Bolotnova R.Kh.
Institute of Mechanics, Ufa


The equation of state for water (EOSW) in Mi–Gruneisen form with Born–Mayer potential for densities less, than 1 g/cm3 is developed. The equation is applicable to moderate and high pressures (up to 2·1012 Pa), in particular, to explosive and static pressures in the range of densities from 0.7 to 3.8 g/cm3 . The equation for the Gruneisen coefficient that depends not only on the specific volume but also on the temperature is received. The proposed method by the experimental data for  dependencies on specific volume and temperature  the heat capacity and isochoric temperature coefficient of pressure increase allows to calculate the Gruneisen coefficient and the internal heat energy.


elastic potential,
Gruneisen function,
shock adiabat,
heat capacity,
thermodynamically two-parameter medium