Interpolation of the thermody namic model for water in the region of uniform and two-phase states

Wide-range equation of state for water and steam: Method of construction

“…Bobrovskii et al [26] (in this study, the investigations of Zamyshlyaev and Menzhulin [25] were refined and further developed) suggested a method of constructing interpolation ESWS in the region of homogeneous and two-phase states with terms in the form of potential and thermal components in view of evaporation, dissociation, and asymptotic behavior of matter under superhigh compression. The interpolation functions for potential pressure p P (V) and Grueneisen coefficient Γ(V), which enter the ESWS [25,26], are constructed for a large number of subregions, with the values of the functions proper and of their first derivatives coinciding on the boundaries.…”

“…The interpolation functions for potential pressure p P (V) and Grueneisen coefficient Γ(V), which enter the ESWS [25,26], are constructed for a large number of subregions, with the values of the functions proper and of their first derivatives coinciding on the boundaries. The large number of subregions makes difficult their utilization in real calculations.…”

“…Local models were joined for different regions of phase diagram. The construction of ESWS involved the use of results of [25,26] and of the results of calculations by the ThomasFermi model with quantum and exchange corrections, and of calculations by the Saha model-for regions of low density of ionized gas.…”

“…5. In [25,26], the thermal parts of electron components of pressure and internal energy are estimated approximately using the Latter solution of ThomasFermi equations.…”

“…The choice of determining function for heat capacity of water c V and Grueneisen coefficient Γ is based on the experimental data and theoretical calculation results listed above, including those based on the Debye quantum theory [7][8][9] (in the limiting case leading to the Dulong-Petit law [9]) and in view of various forms of NIGMATULIN, BOLOTNOVA motion of water molecule [24][25][26]. In deriving equations of state in the Mie-Grueneisen form for condensed media, including water, under conditions of high compression and high pressure, a simplified approximation is usually employed, in the case of which the Grueneisen coefficient depends on specific volume V alone (see [7-11, 24-27, 31, 32]),…”